Topological quantum memory

Abstract

We analyze surface codes, the topological quantum error-correcting codes introduced by Kitaev. In these codes, qubits are arranged in a two-dimensional array on a surface of nontrivial topology, and encoded quantum operations are associated with nontrivial homology cycles of the surface. We formulate protocols for error recovery, and study the efficacy of these protocols. An order-disorder phase transition occurs in this system at a nonzero critical value of the error rate; if the error rate is below the critical value (the accuracy threshold), encoded information can be protected arbitrarily well in the limit of a large code block. This phase transition can be accurately modeled by a three-dimensional Z_2 lattice gauge theory with quenched disorder. We estimate the accuracy threshold, assuming that all quantum gates are local, that qubits can be measured rapidly, and that polynomial-size classical computations can be executed instantaneously. We also devise a robust recovery procedure that does not require measurement or fast classical processing; however for this procedure the quantum gates are local only if the qubits are arranged in four or more spatial dimensions. We discuss procedures for encoding, measurement, and performing fault-tolerant universal quantum computation with surface codes, and argue that these codes provide a promising framework for quantum computing architectures.

39 pages, 21 figures, REVTeX

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• Instantaneous non-local computation of low T-depth quantum circuits
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• The Capabilities of a Perturbed Toric Code as a Quantum Memory
• FPGA-based Distributed Union-Find Decoder for Surface Codes
• Localized statistics decoding for quantum low-density parity-check codes
• Quantum computation from dynamic automorphism codes
• Energy-Consumption Advantage of Quantum Computation
• High-rate quantum LDPC codes for long-range-connected neutral atom registers
• Boundary Hamiltonian theory for gapped topological orders
• Anyonic self-induced disorder in a stabilizer code: quasi-many body localization in a translational invariant model
• A High Performance Compiler for Very Large Scale Surface Code Computations
• Geometric Entanglement in Topologically Ordered States
• Simulated Quantum Annealing with Two All-to-All Connectivity Schemes
• Topological phases in adiabatic and nonadiabatic driven systems
• Non-abelian statistics from an abelian model
• Optimal error correction in topological subsystem codes
• Self-Correcting Quantum Memories Beyond the Percolation Threshold
• Learnability transitions in monitored quantum dynamics via eavesdropper's classical shadows
• The breaking of quantum double symmetries by defect condensation
• Universal Fault-Tolerant Quantum Computing with Stabiliser Codes
• The Non-Equilibrium Reliability of Quantum Memories
• Logical Error Rate Scaling of the Toric Code
• Tunable coupling between three qubits as a building block for a superconducting quantum computer
• A simple decoder for topological codes
• The Computational Power of Symmetric Hamiltonians
• Analytic asymptotic performance of topological codes
• Surface codes, quantum circuits, and entanglement phases
• Low-complexity quantum codes designed via codeword-stabilized framework
• Quantum LDPC Codes for Modular Architectures
• Looped Pipelines Enabling Effective 3D Qubit Lattices in a Strictly 2D Device
• Gauge freedom in observables and Landsbergs nonadiabatic geometric phase: pumping spectroscopy of interacting open quantum systems
• Topological Color Codes and Two-Body Quantum Lattice Hamiltonians
• Accuracy threshold for concatenated error detection in one dimension
• Representations of the quantum doubles of finite group algebras and solutions of the Yang--Baxter equation
• Tensor Networks with a Twist: Anyon-permuting domain walls and defects in PEPS
• Neural ensemble decoding for topological quantum error-correcting codes
• Learning time-dependent noise to reduce logical errors: Real time error rate estimation in quantum error correction
• Hierarchical surface code for network quantum computing with modules of arbitrary size
• Fracton Topological Order at Finite Temperature
• Pauli channels can be estimated from syndrome measurements in quantum error correction
• Microscopic theory of the nearest-neighbor valence bond sector of the spin-1/2 kagome antiferromagnet
• Generating topological order from a 2D cluster state using a duality mapping
• Graphical Structures for Design and Verification of Quantum Error Correction
• Renormalization group decoder for a four-dimensional toric code
• Quantum Error Correction for State Transfer in Noisy Spin Chains
• Numerical and analytical bounds on threshold error rates for hypergraph-product codes
• A family of stabilizer codes for $D({\mathbb{Z}}_2)$ anyons and Majorana modes
• Long-distance quantum communication over noisy networks without long-time quantum memory
• Entropic Barriers for Two-Dimensional Quantum Memories
• High-Fidelity Magic-State Preparation with a Biased-Noise Architecture
• Machine Learning for Continuous Quantum Error Correction on Superconducting Qubits
• Tailoring quantum error correction to spin qubits
• How long can a quantum memory withstand depolarizing noise?
• Measurement-Based Quantum Computation on Symmetry Breaking Thermal States
• Magic-State Functional Units: Mapping and Scheduling Multi-Level Distillation Circuits for Fault-Tolerant Quantum Architectures
• Correcting non-independent and non-identically distributed errors with surface codes
• Coherent errors and readout errors in the surface code
• Enhancing Detection of Topological Order by Local Error Correction
• Fidelity Threshold of the Surface Code Beyond Single-Qubit Error Models
• Fault-tolerant measurement-free quantum error correction with multi-qubit gates
• Tapestry of dualities in decohered quantum error correction codes
• Dynamic scaling of topological ordering in classical systems
• Single-shot decoding of good quantum LDPC codes
• Low overhead Clifford gates from joint measurements in surface, color, and hyperbolic codes
• Constraints on magic state protocols from the statistical mechanics of Wigner negativity
• Mixed-state topological order and the errorfield double formulation of decoherence-induced transitions
• A proposal for self-correcting stabilizer quantum memories in 3 dimensions (or slightly less)
• Characterizing Long-Range Entanglement in a Mixed State Through an Emergent Order on the Entangling Surface
• Generating Fault-Tolerant Cluster States from Crystal Structures
• Breakdown of Surface Code Error Correction Due to Coupling to a Bosonic Bath
• Classical Simulation of Quantum Error Correction in a Fibonacci Anyon Code
• The XYZ${}^2$ hexagonal stabilizer code
• Realizing topologically ordered states on a quantum processor
• Topological One-Way Quantum Computation on Verified Logical Cluster States
• Self-correcting quantum memory with a boundary
• Simulating the Transverse Ising Model on a Quantum Computer: Error Correction with the Surface Code
• Error threshold estimates for surface code with loss of qubits
• A decoding algorithm for CSS codes using the X/Z correlations
• Quantum error suppression with commuting Hamiltonians: Two-local is too local
• Intermodulation Distortion in a Josephson Traveling Wave Parametric Amplifier
• Conservation laws and quantum error correction: towards a generalised matching decoder
• Quantum memory coupled to cavity modes
• Effective Compression of Quantum Braided Circuits Aided by ZX-Calculus
• Robust teleportation of a surface code and cascade of topological quantum phase transitions
• Thresholds for the distributed surface code in the presence of memory decoherence
• A four-dimensional toric code with non-Clifford transversal gates
• Numerical Implementation of Just-In-Time Decoding in Novel Lattice Slices Through the Three-Dimensional Surface Code
• Quantum phase transitions out of a Z2 x Z2 topological phase
• Reducing the error rate of a superconducting logical qubit using analog readout information
• Strong-to-weak symmetry breaking states in stochastic dephasing stabilizer circuits
• Quantum error correction in crossbar architectures
• Computing data for Levin-Wen with defects
• Adaptive syndrome measurements for Shor-style error correction
• Generalized Toric Codes Coupled to Thermal Baths
• Classical simulation of non-Gaussian fermionic circuits
• Blueprint for all-to-all connected superconducting spin qubits
• Tailoring three-dimensional topological codes for biased noise
• Topological graph states and quantum error correction codes
• Pipelined correlated minimum weight perfect matching of the surface code
• Effects of non-equilibrium noise on a quantum memory encoded in Majorana zero modes
• Topological order: from long-range entangled quantum matter to an unification of light and electrons
• Error tolerance of topological codes with independent bit-flip and measurement errors
• Demonstration of low-overhead quantum error correction codes
• Ising order parameter and topological phase transitions: Toric code in a uniform magnetic field
• Mapping all classical spin models to a lattice gauge theory
• Dynamic Generation of Topologically Protected Self-Correcting Quantum Memory
• Rapid mixing and stability of quantum dissipative systems
• An optimal dissipative encoder for the toric code
• Can long-range interactions stabilize quantum memory at nonzero temperature?
• Detecting Topological Order with Ribbon Operators
• Efficient simulation of quantum error correction under coherent error based on non-unitary free-fermionic formalism
• The role of entropy in topological quantum error correction
• On the robustness of topological quantum codes: Ising perturbation
• Optimal local unitary encoding circuits for the surface code
• Designing open quantum systems with known steady states: Davies generators and beyond
• Adiabatic topological quantum computing
• On the stability of topological order in tensor network states
• Generalized Belief Propagation Algorithms for Decoding of Surface Codes
• Quantum phases of a chain of strongly interacting anyons
• Twins Percolation for Qubit Losses in Topological Color Codes
• Tailored cluster states with high threshold under biased noise
• Fault-tolerant Post-Selection for Low Overhead Magic State Preparation
• Quantum macroscopicity versus distillation of macroscopic superpositions
• Quantum Yang-Mills theory: an overview of a programme
• Resilience to time-correlated noise in quantum computation
• High-performance repetition cat code using fast noisy operations
• One-dimensional quantum computing with a 'segmented chain' is feasible with today's gate fidelities
• Topological quantum error correction in the Kitaev honeycomb model
• Higher-group symmetry of (3+1)D fermionic ${\mathbb{Z}}_2$ gauge theory: logical CCZ, CS, and T gates from higher symmetry
• Optimized measurement-free and fault-tolerant quantum error correction for neutral atoms
• Fusing Binary Interface Defects in Topological Phases: The $\mathrm{Vec}(\mathbb{Z}/p\mathbb{Z})$ case
• Fault-tolerant fermionic quantum computation based on color code
• Simulating topological tensor networks with Majorana qubits
• Decoding Holographic Codes with an Integer Optimisation Decoder
• Relaxation dynamics of the toric code in contact with a thermal reservoir: Finite-size scaling in a low temperature regime
• Fault-tolerant Compass Codes
• Multipole and fracton topological order via gauging foliated SPT phases
• Concatenation of the Gottesman-Kitaev-Preskill code with the XZZX surface code
• Instantaneous braids and Dehn twists in topologically ordered states
• Higher-form Symmetries under Weak Measurement
• Impacts of Noise and Structure on Quantum Information Encoded in a Quantum Memory
• The Small Stellated Dodecahedron Code and Friends
• Many-hypercube codes: High-rate quantum error-correcting codes for high-performance fault-tolerant quantum computing
• Symmetry enforced entanglement in maximally mixed states
• Codesign of quantum error-correcting codes and modular chiplets in the presence of defects
• Quantum error correction with the color-Gottesman-Kitaev-Preskill code
• Fault-tolerant Holonomic Quantum Computation in Surface Codes
• Determination of the Semion Code Threshold using Neural Decoders
• Tensor Network Decoding Beyond 2D
• Simple quantum error detection and correction for superconducting qubits
• Doped stabilizer states in many-body physics and where to find them
• Weakly Flux-Tunable Superconducting Qubit
• High-Fidelity Spin Measurement on the Nitrogen-Vacancy Center
• Towards Non-Invertible Anomalies from Generalized Ising Models
• Active error correction for Abelian and non-Abelian anyons
• Achieving fault tolerance on capped color codes with few ancillas
• The role of cohomology in quantum computation with magic states
• Error-corrected Hadamard gate simulated at the circuit level
• Universal quantum computation in the surface code using non-Abelian islands
• The Stability of Quantum Concatenated Code Hamiltonians
• Two-time weak measurement protocol for ergotropy protection in open quantum batteries
• Scalable characterization of localizable entanglement in noisy topological quantum codes
• Topological error correcting processes from fixed-point path integrals
• Quantifying Spatial Correlations of General Quantum Dynamics
• Zero-temperature phase of the XY spin glass in two dimensions: Genetic embedded matching heuristic
• Global entanglement in a topological quantum phase transition
• Simulation and performance analysis of quantum error correction with a rotated surface code under a realistic noise model
• Hierarchical memories: Simulating quantum LDPC codes with local gates
• Domain walls in topological phases and the Brauer-Picard ring for $\mathrm{Vec}(\mathbb{Z}/p\mathbb{Z})$
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• Symbolic Execution for Quantum Error Correction Programs
• One-shot quantum error correction of classical and quantum information
• Symmetric higher rank topological phases on generic graphs
• Hierarchical Qubit Maps and Hierarchical Quantum Error Correction
• Quantum Enhancement in Dark Matter Detection with Quantum Computation
• Duality analysis on random planar lattice
• Universal set of scalable dynamically corrected gates for quantum error correction with always-on qubit couplings
• Strong-to-weak spontaneous symmetry breaking meets average symmetry-protected topological order
• Dual correspondence between classical spin models and quantum CSS states
• Comparing Two-Qubit and Multi-Qubit Gates within the Toric Code
• Efficient Formal Verification of Quantum Error Correcting Programs
• Noise threshold and resource cost of fault-tolerant quantum computing with Majorana fermions in hybrid systems
• Optimizing Clifford gate generation for measurement-only topological quantum computation with Majorana zero modes
• Double semions in arbitrary dimension
• Data-driven decoding of quantum error correcting codes using graph neural networks
• Readout error mitigated quantum state tomography tested on superconducting qubits
• Quantum memories with zero-energy Majorana modes and experimental constraints
• Non-Abelian Chern-Simons models with discrete gauge groups on a lattice
• Color code decoder with improved scaling for correcting circuit-level noise
• A proposal for a minimal surface code experiment
• Quantum error correction with fractal topological codes
• A cellular automaton decoder for a noise-bias tailored color code
• Accurate optimal quantum error correction thresholds from coherent information
• Development of Zero-Noise Extrapolated Projection Based Quantum Algorithm for Accurate Evaluation of Molecular Energetics in Noisy Quantum Devices
• Freely Scalable Quantum Technologies using Cells of 5-to-50 Qubits with Very Lossy and Noisy Photonic Links
• Long-range-enhanced surface codes
• Error-correction and noise-decoherence thresholds for coherent errors in planar-graph surface codes
• Neural network decoder for near-term surface-code experiments
• Resource Optimized Quantum Architectures for Surface Code Implementations of Magic-State Distillation
• The prospects of Monte Carlo antibody loop modelling on a fault-tolerant quantum computer
• Scalable Fermionic Error Correction in Majorana Surface Codes
• Quantum memory at nonzero temperature in a thermodynamically trivial system
• Finite temperature quantum simulation of stabilizer Hamiltonians
• Quantum Error Correction resilient against Atom Loss
• Boundary and domain wall theories of 2d generalized quantum double model
• On tensor network representations of the (3+1)d toric code
• Fundamental thresholds of realistic quantum error correction circuits from classical spin models
• Automated Synthesis of Fault-Tolerant State Preparation Circuits for Quantum Error Correction Codes
• Closing a quantum feedback loop inside a cryostat: Autonomous state preparation and long-time memory of a superconducting qubit
• Fast erasure decoder for hypergraph product codes
• Interaction-induced topological phase transition at finite temperature
• Interoperability in encoded quantum repeater networks
• Gaining insights on anyon condensation and 1-form symmetry breaking across a topological phase transition in a deformed toric code model
• Experiments with the 4D Surface Code on a QCCD Quantum Computer
• Anisotropic higher rank ${\mathbb{Z}}_N$ topological phases on graphs
• Error correction of transversal CNOT gates for scalable surface code computation
• Efficient Detection of Strong-To-Weak Spontaneous Symmetry Breaking via the Rényi-1 Correlator
• Single-Step Parity Check Gate Set for Quantum Error Correction
• Optimizing quantum error correction protocols with erasure qubits
• Functional completeness of planar Rydberg blockade structures
• Effective quantum memory Hamiltonian from local two-body interactions
• Self correction requires Energy Barrier for Abelian quantum doubles
• Accurate simulations of planar topological codes cannot use cyclic boundaries
• Distance-preserving stabilizer measurements in hypergraph product codes
• Multipartite entanglement of the topologically ordered state in a perturbed toric code
• An Interferometry-Free Protocol for Demonstrating Topological Order
• Leveraging Automorphisms of Quantum Codes for Fault-Tolerant Quantum Computation
• Theory of quasi-exact fault-tolerant quantum computing and valence-bond-solid codes
• Spontaneous symmetry breaking without ground state degeneracy in generalized $N$-state clock model
• Nonadaptive fault-tolerant verification of quantum supremacy with noise
• Information-thermodynamics link revisited
• 3-Fermion topological quantum computation
• Fault-tolerant quantum architectures based on erasure qubits
• Fidelity of the surface code in the presence of a bosonic bath
• An Operational Definition of Topological Order
• Machine-learning based three-qubit gate for realization of a Toffoli gate with cQED-based transmon systems
• Identifying non-Abelian topological ordered state and transition by momentum polarization
• Generalized Color Codes Supporting Non-Abelian Anyons
• Coherent information for CSS codes under decoherence
• Topological qubits from valence bond solids
• Fractalizing quantum codes
• Qutrit Circuits and Algebraic Relations: A Pathway to Efficient Spin-1 Hamiltonian Simulation
• Lifting topological codes: Three-dimensional subsystem codes from two-dimensional anyon models
• Actis: A Strictly Local Union-Find Decoder
• Strategy for implementing stabilizer-based codes on solid-state qubits
• ERASER: Towards Adaptive Leakage Suppression for Fault-Tolerant Quantum Computing
• Tangling schedules eases hardware connectivity requirements for quantum error correction
• Topological Dynamical Decoupling
• CSS code surgery as a universal construction
• An exactly solvable dissipative spin liquid
• Decoding Merged Color-Surface Codes and Finding Fault-Tolerant Clifford Circuits Using Solvers for Satisfiability Modulo Theories
• Decoding quantum color codes with MaxSAT
• Braid Matrices and Quantum Gates for Ising Anyons Topological Quantum Computation
• Scalable noise characterization of syndrome-extraction circuits with averaged circuit eigenvalue sampling
• Synthesis of Arbitrary Quantum Circuits to Topological Assembly: Systematic, Online and Compact
• Quantum dimer models with Rydberg gadgets
• Majorana Fermions in a Box
• Comparative study of quantum error correction strategies for the heavy-hexagonal lattice
• High-precision phase diagram of spin glasses from duality analysis with real-space renormalization and graph polynomials
• Exact Calculations of Coherent Information for Toric Codes under Decoherence: Identifying the Fundamental Error Threshold
• Correcting spanning errors with a fractal code
• Thermalization of Topological Entropy after a Quantum Quench
• Engineering massive quantum memories by topologically time-modulated spin rings
• Erasure Decoding for Quantum LDPC Codes via Belief Propagation with Guided Decimation
• Engineering autonomous error correction in stabilizer codes at finite temperature
• Cross-cap defects and fault-tolerant logical gates in the surface code and the honeycomb Floquet code
• Strong and weak symmetries and their spontaneous symmetry breaking in mixed states emerging from the quantum Ising model under multiple decoherence
• A strong-weak coupling duality between two perturbed quantum many-body systems: CSS codes and Ising-like systems
• Exponential Lifetime Improvement in Topological Quantum Memories
• Multipartite edge modes and tensor networks
• Gauged Neural Network: Phase Structure, Learning, and Associative Memory
• Demonstrating experimentally the encoding and dynamics of an error-correctable logical qubit on a hyperfine-coupled nuclear spin qudit
• Entanglement dynamics and phase transitions of the Floquet cluster spin chain
• Extracting topological orders of generalized Pauli stabilizer codes in two dimensions
• Destroying a topological quantum bit by condensing Ising vortices
• Non-Pauli topological stabilizer codes from twisted quantum doubles
• Synthetic ${\mathbb{Z}}_2$ gauge theories based on parametric excitations of trapped ions
• Honeycomb Phononic Networks with Closed Mechanical Subsystems
• Stability and Loop Models from Decohering Non-Abelian Topological Order
• Complexity growth in Gubser-Rocha models with momentum relaxation
• Zero noise extrapolation on logical qubits by scaling the error correction code distance
• Optimization of decoder priors for accurate quantum error correction
• Quantum phase transition in the $Z_3$ Kitaev-Potts model
• Homological Quantum Rotor Codes: Logical Qubits from Torsion
• Analog information decoding of bosonic quantum LDPC codes
• Synthesis of Topological Quantum Circuits
• Compilation of a simple chemistry application to quantum error correction primitives
• Decoherence and Entanglement Dynamics of Coupled Qubits
• Nonlocal discrete time crystals in periodically driven surface codes
• Stable measurement-induced Floquet enriched topological order
• Artificial Neural Network Syndrome Decoding on IBM Quantum Processors
• A high threshold code for modular hardware with asymmetric noise
• Disentangling transitions in topological order induced by boundary decoherence
• Non-Abelian statistics with mixed-boundary punctures on the toric code
• Continuous error correction for Ising anyons
• Extracting Error Thresholds through the Framework of Approximate Quantum Error Correction Condition
• Self-Duality and Phase Structure of the 4D Random-Plaquette Z_2 Gauge Model
• Designing fault-tolerant circuits using detector error models
• Realization of Topological Quantum Computation with surface codes
• Bulk-Measurement-Induced Boundary Phase Transition in Toric Code and Gauge-Higgs Model
• Emergence of noise-induced barren plateaus in arbitrary layered noise models
• Minimal distances for certain quantum product codes and tensor products of chain complexes
• Z_N Gauge Theories on a Lattice and Quantum Memory
• Towards a realistic GaAs-spin qubit device for a classical error-corrected quantum memory
• Gauge subsystems, separability, and robustness in autonomous quantum memories
• Deconfinement and Error Thresholds in Holography
• Optimizing glassy p-spin models
• Improved Pairwise Measurement-Based Surface Code
• Novel Topological Phases and Self-Correcting Memories in Interacting Anyon Systems
• Quantum Routing with Teleportation
• Combating quasiparticle poisoning with multiple Majorana fermions in a periodically-driven quantum wire
• Fault-tolerant hyperbolic Floquet quantum error correcting codes
• On maximum-likelihood decoding with circuit-level errors
• A SAT Scalpel for Lattice Surgery: Representation and Synthesis of Subroutines for Surface-Code Fault-Tolerant Quantum Computing
• Topological Entanglement Entropy in \(d\)-dimensions for Abelian Higher Gauge Theories
• The Random-Bond Ising Model and its dual in Hyperbolic Spaces
• Measurement-based quantum simulation of Abelian lattice gauge theories
• On Topology of the Moduli Space of Gapped Hamiltonians for Topological Phases
• Quantum convolutional data-syndrome codes
• Decoding Schemes for Foliated Sparse Quantum Error Correcting Codes
• Mitigating errors in logical qubits
• Iterative Phase Optimisation of Elementary Quantum Error Correcting Codes
• Decoding the Projective Transverse Field Ising Model
• Adiabatic Rotation, Quantum Search and Preparation of Superposition States
• Fault-tolerant logical measurements via homological measurement
• Stabilizer Entanglement Distillation and Efficient Fault-Tolerant Encoders
• Perturbative stability and error correction thresholds of quantum codes
• Duality and free energy analyticity bounds for few-body Ising models with extensive homology rank
• Universal resource-efficient topological measurement-based quantum computation via color-code-based cluster states
• Micro Blossom: Accelerated Minimum-Weight Perfect Matching Decoding for Quantum Error Correction
• Improving threshold for fault-tolerant color code quantum computing by flagged weight optimization
• Low-overhead quantum computing with the color code
• An analog of topological entanglement entropy for mixed states
• Exotic Symmetry Breaking Properties of Self-Dual Fracton Spin Models
• Self-correction in Wegner's 3D Ising lattice gauge theory
• Error-rate-agnostic decoding of topological stabilizer codes
• Quantum computational tensor network on string-net condensate
• Phase transition in a noisy Kitaev toric code model
• Unveiling non-Abelian statistics of vortex Majorana bound states in iron-based superconductors using fermionic modes
• Predicting topological quantum phase transition from dynamics via multisite entanglement
• Topological line in frustrated Toric code models
• Lifetime of topological quantum memories in thermal environment
• Coherent information as a mixed-state topological order parameter of fermions
• Relaxation and decoherence of qubits encoded in collective states of engineered magnetic structures
• Weight Reduced Stabilizer Codes with Lower Overhead
• Comparison of 2D topological codes and their decoding performances
• Weak Hopf symmetry and tube algebra of the generalized multifusion string-net model
• Non-Pauli errors can be efficiently sampled in qudit surface codes
• XYZ ruby code: Making a case for a three-colored graphical calculus for quantum error correction in spacetime
• Multi-Qubit Joint Measurements in Circuit QED: Stochastic Master Equation Analysis
• Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction
• Playing nonlocal games across a topological phase transition on a quantum computer
• Topologically Ordered Steady States in Open Quantum Systems
• Thermalization in Kitaev's quantum double models via Tensor Network techniques
• Intrinsic mixed state topological order in a stabilizer system under stochastic decoherence: Strong-to-weak spontaneous symmetry breaking from percolation point of view
• Low-temperature coherence properties of Z_2 quantum memory
• Classical criticality establishes quantum topological order
• Digital quantum simulation of the BCS model with a central-spin-like quantum processor
• Graph state representation of the toric code
• Full characterization of a spin liquid phase: from topological entropy to robustness and braid statistics
• Parafermion stabilizer codes
• Decoherence and wavefunction deformation of $D_4$ non-Abelian topological order
• Composite anyon coding and the initialization of a topological quantum computer
• Learning to find order in disorder
• Quantum Error-Detection at Low Energies
• Non-perturbative Floquet engineering of the toric-code Hamiltonian and its ground state
• Low-overhead magic state distillation with color codes
• A quantum information approach to statistical mechanics
• Transition of a ${\mathbb{Z}}_3$ topologically ordered phase to trivial and critical phases
• How much entanglement is needed for quantum error correction?
• Anyon condensation and confinement transition in a Kitaev spin liquid bilayer
• String operators for Cheshire strings in topological phases
• Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault-tolerance with the toric code
• Union-find quantum decoding without union-find
• Comparison of memory thresholds for planar qudit geometries
• Fault-tolerant quantum speedup from constant depth quantum circuits
• Protect Measurement-Induced Phase Transition from Noise
• Good Gottesman-Kitaev-Preskill codes from the NTRU cryptosystem
• Efficient Preparation of Solvable Anyons with Adaptive Quantum Circuits
• Anomalous distribution of magnetization in an Ising spin glass with correlated disorder
• Layer Codes
• Engineering Topological Models with a General-Purpose Symmetry-to-Hamiltonian Approach
• Stability of topologically-protected quantum computing proposals as seen through spin glasses
• A quantum phase transition from $Z_2\times Z_2$ to $Z_2$ topological order
• Harnessing symmetry-protected topological order for quantum memories
• Long Distance Entanglement Generation in 2D Networks
• Local Clustering Decoder as a fast and adaptive hardware decoder for the surface code
• Analytical percolation theory for topological color codes under qubit loss
• An integrity measure to benchmark quantum error correcting memories
• No Strings Attached: Boundaries and Defects in the Cubic Code
• From entanglement renormalisation to the disentanglement of quantum double models
• Implementation of standard quantum error correction codes for solid-state qubits
• Remote Cross-resonance Gate between Superconducting Fixed-frequency Qubits
• Single-Shot Quantum Error Correction in Intertwined Toric Codes
• Dynamical subset sampling of quantum error correcting protocols
• Low-depth random Clifford circuits for quantum coding against Pauli noise using a tensor-network decoder
• Characterizing quantum instruments: from non-demolition measurements to quantum error correction
• Realizing Lattice Surgery on Two Distance-Three Repetition Codes with Superconducting Qubits
• Hybrid cat-transmon architecture for scalable, hardware-efficient quantum error correction
• Detrimental non-Markovian errors for surface code memory
• Fragile spin liquid in three dimensions
• Steady-state topological order
• Concatenate codes, save qubits
• Strictly local one-dimensional topological quantum error correction with symmetry-constrained cellular automata
• Generalized toric codes on twisted tori for quantum error correction
• Decoherence through Ancilla Anyon Reservoirs
• A New Recursion Relation for the 6j-Symbol
• Quantum simulation of lattice gauge theories via deterministic duality transformations assisted by measurements
• Resource Analysis of Low-Overhead Transversal Architectures for Reconfigurable Atom Arrays
• Anomaly inflow, dualities, and quantum simulation of abelian lattice gauge theories induced by measurements
• Massive Quantum Memories by Periodically Inverted Dynamic Evolutions
• Doubled Lattice Chern-Simons-Yang-Mills Theories with Discrete Gauge Group
• Fault-Tolerant Stabilizer Measurements in Surface Codes with Three-Qubit Gates
• Finite-temperature quantum topological order in three dimensions
• Quantum error correction for long chains of trapped ions
• Demonstrating quantum error mitigation on logical qubits
• Towards absolutely stable ergodicity breaking in two and three dimensions
• Preserving phase coherence and linearity in cat qubits with exponential bit-flip suppression
• Surface Code with Imperfect Erasure Checks
• Recurrent neural network wave functions for Rydberg atom arrays on kagome lattice
• Spatially parallel decoding for multi-qubit lattice surgery
• Lift-Connected Surface Codes
• Coherent errors in stabilizer codes caused by quasistatic phase damping
• Efficient percolation simulations for lossy photonic fusion networks
• Topological dualities via tensor networks
• Quaternary Neural Belief Propagation Decoding of Quantum LDPC Codes with Overcomplete Check Matrices
• Robust gates with spin-locked superconducting qubits
• Spatially-Coupled QLDPC Codes
• Phase diagram of the three-dimensional subsystem toric code
• Protecting information via probabilistic cellular automata
• Interplay between lattice gauge theory and subsystem codes
• Segmented Composite Design of Robust Single-Qubit Quantum Gates
• Local Probabilistic Decoding of a Quantum Code
• Quantum circuits for toric code and X-cube fracton model
• Excitations in the Higher Lattice Gauge Theory Model for Topological Phases I: Overview
• Hexagonal matching codes with 2-body measurements
• Cost-optimal single-qubit gate synthesis in the Clifford hierarchy
• Single-Shot Decoding of Linear Rate LDPC Quantum Codes with High Performance
• Computing Defects Associated to Bounded Domain Wall Structures: The $\mathrm{Vec}(\mathbb{Z}/p\mathbb{Z})$ Case
• Non-Abelian Fusion Rules from an Abelian System
• Sampling the ground-state magnetization of d-dimensional p-body Ising models
• Experimental Preparation of Topologically Ordered States via Adiabatic Evolution
• Effect of quantum error correction on detection-induced coherent errors
• Gauge theory and mixed state criticality
• Topologically ordered time crystals
• Non-Pauli Errors in the Three-Dimensional Surface Code
• Partially Concatenated Calderbank-Shor-Steane Codes Achieving the Quantum Gilbert-Varshamov Bound Asymptotically
• State injection, lattice surgery and dense packing of the deformation-based surface code
• Entangled Cloning of Stabilizer Codes and Free Fermions
• Modular Architectures and Entanglement Schemes for Error-Corrected Distributed Quantum Computation
• Frustration in vicinity of transition point of Ising spin glasses
• Nonequilibrium critical dynamics of the two-dimensional $\pm J$ Ising model
• Low-overhead quantum error correction codes with a cyclic topology
• A Model for Topological p-wave Superconducting Wires with Disorder and Interactions
• A new twist on the Majorana surface code: Bosonic and fermionic defects for fault-tolerant quantum computation
• A Universal Circuit Set Using the $S_3$ Quantum Double
• The Implications of Ignorance for Quantum Error Correction Thresholds
• Classical ${\mathbb{Z}}_2$ spin liquid on the generalized four-color Kitaev model
• Detecting quasi-degenerate ground states in topological models via variational quantum eigensolver
• Reducing Mid-Circuit Measurements via Probabilistic Circuits
• Statistical Mechanics of Stochastic Quantum Control: $d$-adic Rényi Circuits
• Flow to Nishimori universality in weakly monitored quantum circuits with qubit loss
• String order parameters for symmetry fractionalization in an enriched toric code
• Low-overhead non-Clifford fault-tolerant circuits for all non-chiral abelian topological phases
• Automated searching for quantum subsystem codes
• Letting the tiger out of its cage: bosonic coding without concatenation
• Snakes and Ladders: Adapting the surface code to defects
• Low-overhead fault-tolerant quantum computation by gauging logical operators
• Plane-selective manipulations of nuclear spin qubits in a three-dimensional optical tweezer array
• Distinguishing Phases via Non-Markovian Dynamics of Entanglement in Topological Quantum Codes under Parallel Magnetic Field
• Quantum codes for asymmetric channels: ZZZY surface codes
• Generation of photonic tensor network states with Circuit QED
• Analyticity of the energy in an Ising spin glass with correlated disorder
• Adaptive Syndrome Extraction
• From effective Hamiltonian to anomaly inflow in topological orders with boundaries
• Noisy Toric code and random bond Ising model: The error threshold in a dual picture
• Degenerate quantum erasure decoding
• LSQCA: Resource-Efficient Load/Store Architecture for Limited-Scale Fault-Tolerant Quantum Computing
• Emergent unitary designs for encoded qubits from coherent errors and syndrome measurements
• Generating and verifying graph states for fault-tolerant topological measurement-based quantum computing in 2D optical lattices
• Compiling the surface code to crossbar spin qubit architectures
• Tunable Majorana corner states driven by superconducting phase bias in a vertical Josephson junction
• Rescaling decoder for 2D topological quantum color codes on 4.8.8 lattices
• The low-energy TQFT of the generalized double semion model
• Electric-magnetic duality and ${\mathbb{Z}}_2$ symmetry enriched Abelian lattice gauge theory
• Topological Aspects of Matters and Langlands Program
• Surface code fidelity at finite temperatures
• Self-correction from higher-form symmetry protection on a boundary
• Logical Majorana zero modes in a nanowire network
• Localizing genuine multiparty entanglement in noisy stabilizer states
• Gauging Defects in Quantum Spin Systems
• Optimizing resetting of superconducting qubits
• Optimization tools for distance-preserving flag fault-tolerant error correction
• A Substrate Scheduler for Compiling Arbitrary Fault-tolerant Graph States
• Edge Theories for Anyon Condensation Phase Transitions
• The domain wall color code
• Noise-aware variational eigensolvers: a dissipative route for lattice gauge theories
• A NEAT Quantum Error Decoder
• Generalized quantum data-syndrome codes and belief propagation decoding for phenomenological noise
• Efficient fault-tolerant implementations of non-Clifford gates with reconfigurable atom arrays
• Exact results on finite size corrections for surface codes tailored to biased noise
• Progressive-Proximity Bit-Flipping for Decoding Surface Codes
• Effectiveness of the syndrome extraction circuit with flag qubits on IBM quantum hardware
• Characterization of errors in a CNOT between surface code patches
• A graph-based formalism for surface codes and twists
• Relation Between Surface Codes and Hypermap-Homology Quantum Codes
• Hardness of observing strong-to-weak symmetry breaking
• Protection of quantum information in a chain of Josephson junctions
• Reducing Quantum Error Correction Overhead with Versatile Flag-Sharing Syndrome Extraction Circuits
• Efficiently decoding the 3D toric codes and welded codes on cubic lattices
• Single-shot and measurement-based quantum error correction via fault complexes
• Engineering Bosonic Codes with Quantum Lattice Gates
• Statistical mechanical mapping and maximum-likelihood thresholds for the surface code under generic single-qubit coherent errors
• Fundamental thresholds for computational and erasure errors via the coherent information
• Topological Order and Reflection Positivity
• Finite-temperature properties of string-net models
• Neural Quantum State Study of Fracton Models
• Thresholds for post-selected quantum error correction from statistical mechanics
• Towards unambiguous calculation of the topological entropy for mixed states
• High-threshold, low-overhead and single-shot decodable fault-tolerant quantum memory
• Single-shot preparation of hypergraph product codes via dimension jump
• Magic Mirror on the Wall, How to Benchmark Quantum Error Correction Codes, Overall ?
• Multicritical Points of Potts Spin Glasses on the Triangular Lattice
• Hamilton-Jacobi-Bellman equations for Rydberg-blockade processes
• Far from Perfect: Quantum Error Correction with (Hyperinvariant) Evenbly Codes
• Erasure conversion in Majorana qubits via local quasiparticle detection
• Enhancing Quantum Memory Lifetime with Measurement-Free Local Error Correction and Reinforcement Learning
• Stabilizing Non-Abelian Topological Order against Heralded Noise via Local Lindbladian Dynamics
• Quantum low-density parity-check codes for erasure-biased atomic quantum processors
• Improved performance of the Bacon-Shor code with Steane's syndrome extraction method
• Magic State Injection with Erasure Qubits
• Topological Order in Densely Packed Anisotropic Colloids
• Numerical evaluation of the fidelity error threshold for the surface code
• Exotic quantum statistics and thermodynamics from a number-conserving theory of Majorana fermions
• Mixed-State Topological Order under Coherent Noise
• Vulnerability of fault-tolerant topological quantum error correction to quantum deviations in code space
• Solvable Quantum Circuits in Tree+1 Dimensions
• Entanglement entropy of higher rank topological phases
• Coherent Information Phase Transition in a Noisy Quantum Circuit
• Low-depth quantum error correction via three-qubit gates in Rydberg atom arrays
• Monte Carlo analysis of critical phenomenon of the Ising model on memory stabilizer structures
• Decoding across transversal Clifford gates in the surface code
• Tailoring Dynamical Codes for Biased Noise: The X${}^3$Z${}^3$ Floquet Code
• Dynamical Phase Error in Interacting Topological Quantum Memories
• Bounds on Autonomous Quantum Error Correction
• Continuous topological phase transition between ${\mathbb{Z}}_2$ topologically ordered phases
• Logarithmic light cone, slow entanglement growth, and quantum memory
• Measuring Non-local Brane Order with Error-corrected Parity Snapshots
• Multiple transitions in an infinite range p-spin random-crystal field Blume Capel model
• Introduction to Quantum Error Correction with Stabilizer Codes
• Kosterlitz-Thouless phase and $Z_d$ topological quantum phase
• Methodology for bus layout for topological quantum error correcting codes
• Optimized noise-resilient surface code teleportation interfaces
• Quantum state transfer using 1D Heisenberg Hamiltonian on quasi-1D lattices
• Many-body quantum catalysts for transforming between phases of matter
• Flying-cat parity checks for quantum error correction
• Rare Events and Griffiths Phases in Topological Quantum Error Correction
• Lattice surgery-based logical state teleportation via noisy links
• Minimising surface-code failures using a color-code decoder
• Dynamically generated concatenated codes and their phase diagrams
• Revisiting Nishimori multicriticality through the lens of information measures
• Non-local resources for error correction in quantum LDPC codes
• Practical quantum error correction with the XZZX code and Kerr-cat qubits
• Magic State Injection on IBM Quantum Processors Above the Distillation Threshold
• Homological codes and abelian anyons
• The ${\mathbb{Z}}_2$ toric-code and the double-semion topological order of hardcore Bose-Hubbard-type models in the strong-interaction limit
• Optimized Topological Quantum Compilation of Three-Qubit Controlled Gates in the Fibonacci Anyon Model: A Controlled-Injection Approach
• Generalizing the matching decoder for the Chamon code
• All genuinely entangled stabilizer subspaces are multipartite fully nonlocal
• The Geometry of Quantum Computing
• Effective Conformal Field Theory generated from Pure and Dephased Chern insulator
• Harnessing Coding Theory for Reliable Network Quantum Communication
• Viewing protected superconducting qubits through the lens of the cat qubit
• A 3D lattice defect and efficient computations in topological MBQC
• Magic Boundaries of 3D Color Codes
• Generalized Statistics on Lattices
• Contextuality of Quantum Error-Correcting Codes
• Error counting in a quantum error-correcting code and the ground-state energy of a spin glass
• Single-shot quantum error correction with the three-dimensional subsystem toric code
• Exactly solvable dissipative dynamics and one-form strong-to-weak spontaneous symmetry breaking in interacting two-dimensional spin systems
• Non-Abelian Self-Correcting Quantum Memory and Transversal Non-Clifford Gate beyond the $n^{1/3}$ Distance Barrier
• Entanglement and fidelity across quantum phase transitions in locally perturbed topological codes with open boundaries
• QECOOL: On-Line Quantum Error Correction with a Superconducting Decoder for Surface Code
• Transversal CNOT gate with multi-cycle error correction
• Topological order in symmetric blockade structures
• On the energy barrier of hypergraph product codes
• The surface code beyond Pauli channels: Logical noise coherence, information-theoretic measures, and errorfield-double phenomenology
• A witness for topological order and stable quantum memories in abelian anyonic systems
• Long-time efficacy of the surface code in the presence of a superohmic environment
• 1D Error Correcting Code for Majorana Qubits
• Estimating entanglement in 2D Heisenberg model in the strong rung-coupling limit
• Error Mitigation Thresholds in Noisy Random Quantum Circuits
• Protected ground states in short chains of coupled spins in circuit quantum electrodynamics
• Bounded light cone and robust topological order out of equilibrium
• Mixed-State Quantum Spin Liquids and Dynamical Anyon Condensations in Kitaev Lindbladians
• Tunneling Qubit Operation on a Protected Josephson Junction Array
• Partially topological phase in a quantum loop gas model with tension and pressure
• Robust preparation and manipulation of protected qubits using time--varying Hamiltonians
• A simple relation between frustration and transition points in diluted spin glasses
• Universal set of Dynamically Protected Gates for Bipartite Qubit Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error Correcting Code
• Efficient decoding of random errors for quantum expander codes
• Homology-changing percolation transitions on finite graphs
• Sampling-based quasiprobability simulation for fault-tolerant quantum error correction on the surface codes under coherent noise
• Robust nonequilibrium surface currents in the 3D Hofstadter model
• Quantum error correction in a time-dependent transverse field Ising model
• Efficient Syndrome Decoder for Heavy Hexagonal QECC via Machine Learning
• General entropic constraints on CSS codes within magic distillation protocols
• Preparing topologically ordered states by Hamiltonian interpolation
• Thermal stability of two-dimensional Topological Color Code
• Layer-by-layer disentangling two-dimensional topological quantum codes
• Stabilization of symmetry-protected long-range entanglement in stochastic quantum circuits
• Population annealing with topological defect driven nonlocal updates for spin systems with quenched disorder
• Q-Pandora Unboxed: Characterizing Noise Resilience of Quantum Error Correction Codes
• Measurement and feedforward induced entanglement negativity transition
• Mitigating Temporal Fragility in the XY Surface Code
• Robust Syndrome Extraction via BCH Encoding
• Dynamical critical behavior on the Nishimori point of frustrated Ising models
• Attention to Quantum Complexity
• Leakage Mobility in Superconducting Qubits as a Leakage Reduction Unit
• Quantum Sparse Coding and Decoding Based on Quantum Network
• Optimal number of stabilizer measurement rounds in an idling surface code patch
• The geometric phase transition of the three-dimensional ${\mathbb{Z}}_2$ lattice gauge model
• Effective Distance of Higher Dimensional HGPs and Weight-Reduced Quantum LDPC Codes
• GAN decoder on a quantum toric code for noise-robust quantum teleportation
• Geometrical Approach to Logical Qubit Fidelities of Neutral Atom CSS Codes
• Competing automorphisms and disordered Floquet codes
• Topological stabilizer models on continuous variables
• Taming Rydberg Decay with Measurement-based Quantum Computation
• Analysis of heralded higher-fidelity two-qubit entangling gates with self-correction
• Classical simulation of measurement-based quantum computation on higher-genus surface-code states
• Demonstration of High-Fidelity Entangled Logical Qubits using Transmons
• Parallel Logical Measurements via Quantum Code Surgery
• QUITS: A modular Qldpc code circUIT Simulator
• Lattice Surgery Compilation Beyond the Surface Code
• Topological Degeneracy Induced Flat Bands in two-Dimensional Holed Systems
• Online Job Scheduler for Fault-tolerant Quantum Multiprogramming
• Self-attention U-Net decoder for toric codes
• Union-Intersection Union-Find for Decoding Depolarizing Errors in Topological Codes
• Hall-on-Toric: Descendant Laughlin state in the chiral ${\mathbb{Z}}_p$ toric code
• Intrinsic Heralding and Optimal Decoders for Non-Abelian Topological Order
• Towards self-correcting quantum codes for neutral atom arrays
• ParaToric 1.0: Continuous-time quantum Monte Carlo for the toric code in a parallel field
• Layer codes as partially self-correcting quantum memories
• Measurement-only circuit of perturbed toric code on triangular lattice: Topological entanglement, 1-form symmetry and logical qubits
• Simulating Topological Order on Quantum Processors
• Architectural Approaches to Fault-Tolerant Distributed Quantum Computing and Their Entanglement Overheads
• Kitaev Meets Affleck-Kennedy-Lieb-Tasaki: Competing Quantum Disorder in Spin-3/2 Honeycomb Systems
• Efficient simulation of logical magic state preparation protocols
• Finite-temperature topological transitions in the presence of quenched uncorrelated disorder
• Quantum foundations for quantum technologies in the International Year of Quantum (2025)
• String Diagrams for Defect-Based Surface Code Computing
• Improving quantum gate performance through neighboring optimal control
• Universal Gates from Braiding and Fusing Anyons on Quantum Hardware
• Phases of Floquet code under local decoherence
• Network Requirements for Distributed Quantum Computation
• Finite Spinon Density-of-States in Triangular-Lattice Delafossite TlYbSe${}_2$
• Stabilizer codes for Heisenberg-limited many-body Hamiltonian estimation
• Snowflake: A Distributed Streaming Decoder
• Effects of quenched disorder in three-dimensional lattice ${\mathbb{Z}}_2$ gauge Higgs models
• Bayesian inference of general noise-model parameters from the syndrome statistics of surface codes
• Implementation of Single-qubit and CNOT Gates by Anyonic Excitations of Two-body Topological Color Code
• Explicit decoders using fixed-point amplitude amplification based on QSVT
• Codeword Stabilized Codes from m-Uniform Graph States
• Lattice Surgery for Dummies
• Planar fault-tolerant circuits for non-Clifford gates on the 2D color code
• Building a fusion-based quantum computer using teleported gates
• Hierarchical Quantum Error Correction with Hypergraph Product Code and Rotated Surface Code
• Exact mapping of a spin glass with correlated disorder to the pure Ising model
• Phase Transition of Topological Index driven by Dephasing
• Topology meets symmetry breaking: Hidden order, intrinsically gapless topological states and finite-temperature topological transitions
• Fault-tolerant Quantum Error Correction Using a Linear Array of Emitters
• Comparison of spin-qubit architectures for quantum error-correcting codes
• The toric code under antiferromagnetic isotropic Heisenberg interactions
• Roughening Transition in Quantum Circuits
• Analytical solution of thermal magnetization on memory stabilizer structures
• Overflow-Safe Polylog-Time Parallel Minimum-Weight Perfect Matching Decoder: Toward Experimental Demonstration
• Symmetry in Multi-Qubit Correlated Noise Errors Enhances Surface Code Thresholds
• Generalized Code Distance through Rotated Logical States in Quantum Error Correction
• Noncontextual Pauli Hamiltonians
• Effects of dilution in a 2D topological magnon insulator
• A dynamic circuit for the honeycomb Floquet code
• Unified Framework for Quantum Code Embedding
• Noise-tolerant Detection of $Z_N$ Topological Orders in Quantum Many-body States
• Quantum Double Models coupled to matter fields: a detailed review for a dualization procedure
• Hardness results for decoding the surface code with Pauli noise
• Geometric and holonomic quantum computation
• Hidden subsystem symmetry protected states in competing topological orders
• Constrained free energy minimization for the design of thermal states and stabilizer thermodynamic systems
• Efficient and simple Gibbs state preparation of the 2D toric code via duality to classical Ising chains
• Non-Commutative weak measurements: Entanglement, Symmetry Breaking, and the Role of Readout
• Partition function of the Kitaev quantum double model
• Simulated-annealing decoder for the XZZX code with greedy-matching initialization
• Neural Decoders for Universal Quantum Algorithms
• Calibration of syndrome measurements in a single experiment
• From Bell Products to Greenberger-Horne-Zeilinger states: Quantum Memories via emergent Hamiltonians
• Unfolding the Toric Code Model with Emergent Qubits
• Spectral properties and coding transitions of Haar-random quantum codes
• Gottesman-Kitaev-Preskill codes: A lattice perspective
• Enhancing self-discharging process with disordered quantum batteries
• Quantum repetition codes as building blocks of large period discrete time crystals
• Higher-form entanglement asymmetry and topological order
• Work-sharing of qubits in topological error corrections
• Frustration-Free Control and Absorbing-State Transport in Entangled State Preparation
• Loops in 4+1d Topological Phases
• Symmetry-enriched topological order and quasifractonic behavior in ${\mathbb{Z}}_N$ stabilizer codes
• Holographic duality between bulk topological order and boundary mixed-state order
• Relaxation times do not capture logical qubit dynamics
• Between Shor and Steane: A unifying construction for measuring error syndromes
• Error Resilience of Fracton Codes and Near Saturation of Code-Capacity Threshold in Three Dimensions
• Diffusion on an Ising chain with kinks
• Spacetime Markov length: a diagnostic for fault tolerance via mixed-state phases
• Entanglement transition in a cluster spin chain coupled with free spins
• A digital quantum simulator in the presence of a bath
• Boundary Criticality at the Nishimori Multicritical Point
• Routing-based technique for defect mitigation in quantum error correction
• Kramers-protected hardware-efficient error correction with Andreev spin qubits
• Increasing the distance of topological codes with time vortex defects
• Families of $d=2$ 2D subsystem stabilizer codes for universal Hamiltonian quantum computation with two-body interactions
• Color code with a logical control-$S$ gate using transversal $T$ rotations
• On the interpretability of neural network decoders
• Exploring the quantum capacity of a Gaussian random displacement channel using Gottesman-Kitaev-Preskill codes and maximum likelihood decoding
• Preparing Code States via Seed-Entangler-Enriched Sequential Quantum Circuits: Application to Tetra-Digit Topological Error-Correcting Codes
• Wire Codes
• High-efficiency loading of 2,400 Ytterbium atoms in optical tweezer arrays
• Approximate Quantum Error Correction with 1D Log-Depth Circuits
• Pinball: A Cryogenic Predecoder for Surface Code Decoding Under Circuit-Level Noise
• Universal fault tolerant quantum computation in 2D without getting tied in knots
• Equivariant Machine Learning Decoder for 3D Toric Codes
• Streaming Belief Propagation on Mixed-Alphabet Tanner Graphs for Practical Quantum Memory
• Entanglemons: Cross-platform protected qubits from entanglement
• Efficiently preparing chiral states via fermionic cooling on bosonic quantum hardware
• Scalable and fault-tolerant preparation of encoded k-uniform states
• Emergent Kitaev materials in synthetic Fermi-Hubbard bilayers
• Decoding Quantum Error Correction Codes with Local Variation