Quantum computing with nearest neighbor interactions and error rates over 1%

Abstract

Large-scale quantum computation will only be achieved if experimentally implementable quantum error correction procedures are devised that can tolerate experimentally achievable error rates. We describe a quantum error correction procedure that requires only a 2-D square lattice of qubits that can interact with their nearest neighbors, yet can tolerate quantum gate error rates over 1%. The precise maximum tolerable error rate depends on the error model, and we calculate values in the range 1.1--1.4% for various physically reasonable models. Even the lowest value represents the highest threshold error rate calculated to date in a geometrically constrained setting, and a 50% improvement over the previous record.

4 pages, 8 figures

References in corpus (20)

• Topological quantum memory
• Quantum Computing with Very Noisy Devices
• Fault-tolerant quantum computation with high threshold in two dimensions
• Observation of coherent oscillation of a single nuclear spin and realization of a two-qubit conditional quantum gate
• Topological fault-tolerance in cluster state quantum computation
• High threshold universal quantum computation on the surface code
• Fast Decoders for Topological Quantum Codes
• Observation of Faraday rotation from a single confined spin
• Robust Quantum State Transfer in Random Unpolarized Spin Chains
• Fault tolerant quantum computation with very high threshold for loss errors
• High-contrast dispersive readout of a superconducting flux qubit using a nonlinear resonator
• Distributed Quantum Computation Architecture Using Semiconductor Nanophotonics
• Fault tolerant architectures for superconducting qubits
• Optical Lattices, Ultracold Atoms and Quantum Information Processing
• A scalable, high-speed measurement-based quantum computer using trapped ions
• Scalable simultaneous multi-qubit readout with 99.99% single-shot fidelity
• A Photonic Implementation for the Topological Cluster State Quantum Computer
• Reconfigurable, site-selective manipulation of atomic quantum systems in two-dimensional arrays of dipole traps
• Topological One-Way Quantum Computation on Verified Logical Cluster States
• Cluster-based architecture for fault-tolerant quantum computation

Cited by in corpus (221)

• Surface codes: Towards practical large-scale quantum computation
• Quantum computational chemistry
• Quantum Error Correction for Quantum Memories
• Surface code quantum computing by lattice surgery
• Noise tailoring for scalable quantum computation via randomized compiling
• Fast universal quantum control above the fault-tolerance threshold in silicon
• The Future of Quantum Computing with Superconducting Qubits
• Low-distance Surface Codes under Realistic Quantum Noise
• Blueprint for a Scalable Photonic Fault-Tolerant Quantum Computer
• Building a fault-tolerant quantum computer using concatenated cat codes
• A Crossbar Network for Silicon Quantum Dot Qubits
• Experimental fault-tolerant universal quantum gates with solid-state spins under ambient conditions
• Scalable Architecture for a Room Temperature Solid-State Quantum Information Processor
• Universal fault-tolerant quantum computation with only transversal gates and error correction
• Degenerate Quantum LDPC Codes With Good Finite Length Performance
• Topological quantum computing with a very noisy network and local error rates approaching one percent
• Efficient Algorithms for Maximum Likelihood Decoding in the Surface Code
• Experimental demonstration of topological error correction
• Layered architecture for quantum computing
• Towards practical classical processing for the surface code
• Feedback control of a solid-state qubit using high-fidelity projective measurement
• Topological and subsystem codes on low-degree graphs with flag qubits
• Initialization by measurement of a two-qubit superconducting circuit
• Fault-tolerant bosonic quantum error correction with the surface-GKP code
• Realization of reliable solid-state quantum memory for photonic polarization-qubit
• Classification of topologically protected gates for local stabilizer codes
• Machine-learning-assisted correction of correlated qubit errors in a topological code
• Flag fault-tolerant error correction with arbitrary distance codes
• Entangling logical qubits with lattice surgery
• Correcting coherent errors with surface codes
• Roadmap to Majorana surface codes
• Comparing Experiments to the Fault-Tolerance Threshold
• Fault-tolerant thresholds for quantum error correction with the surface code
• Encoding a magic state with beyond break-even fidelity
• Fault-Tolerance of "Bad" Quantum Low-Density Parity Check Codes
• Majorana Fermion Surface Code for Universal Quantum Computation
• Universal Quantum Computation with Hybrid Spin-Majorana Qubits
• Fault-Tolerant High Level Quantum Circuits: Form, Compilation and Description
• A fault-tolerant continuous-variable measurement-based quantum computation architecture
• Fast multi-qubit gates by adiabatic evolution in interacting excited state manifolds
• High-fidelity operation and algorithmic initialisation of spin qubits above one kelvin
• Early Fault-Tolerant Quantum Computing
• Pauli Blockade in Silicon Quantum Dots with Spin-Orbit Control
• Surface code with decoherence: An analysis of three superconducting architectures
• Fidelity of a Rydberg blockade quantum gate from simulated quantum process tomography
• The surface code with a twist
• RKKY interaction in carbon nanotubes and graphene nanoribbons
• Long-Range Interaction of Spin-Qubits via Ferromagnets
• Scalable High-Performance Fluxonium Quantum Processor
• Triangular color codes on trivalent graphs with flag qubits
• Long-distance spin-spin coupling via floating gates
• Low overhead fault-tolerant quantum error correction with the surface-GKP code
• Efficient Decoders for Qudit Topological Codes
• Constant-overhead quantum error correction with thin planar connectivity
• The cost of universality: A comparative study of the overhead of state distillation and code switching with color codes
• A silicon-based surface code quantum computer
• Operating semiconductor quantum processors with hopping spins
• Performance of quantum error correction with coherent errors
• Fault-tolerant quantum computing with color codes
• An efficient Markov chain Monte Carlo algorithm for the surface code
• Comparing neural network based decoders for the surface code
• Emulating anyonic fractional statistical behavior in a superconducting quantum circuit
• Dual-rail encoding with superconducting cavities
• Modeling coherent errors in quantum error correction
• A quantum computation architecture using optical tweezers
• Surface code compilation via edge-disjoint paths
• Cellular-automaton decoders with provable thresholds for topological codes
• A fast fault-tolerant decoder for qubit and qudit surface codes
• 2-D color code quantum computation
• Beating the Standard Quantum Limit under Ambient Conditions with Solid-State Spins
• Fault-Tolerant Weighted Union-Find Decoding on the Toric Code
• Code Deformation and Lattice Surgery Are Gauge Fixing
• Proof of finite surface code threshold for matching
• Verifiable fault-tolerance in measurement-based quantum computation
• Variational quantum eigensolver for the Heisenberg antiferromagnet on the kagome lattice
• Uniqueness of noncontextual models for stabilizer subtheories
• Exchange-based CNOT gates for singlet-triplet qubits with spin orbit interaction
• Simulation of rare events in quantum error correction
• Constructions and Noise Threshold of Topological Subsystem Codes
• Quantum Computing: An Overview Across the System Stack
• Towards practical classical processing for the surface code: timing analysis
• 2-D Compass Codes
• Topological code Autotune
• Benchmarking high fidelity single-shot readout of semiconductor qubits
• Transversal Clifford gates on folded surface codes
• Subsystem codes with high thresholds by gauge fixing and reduced qubit overhead
• Fault-tolerance thresholds for the surface code with fabrication errors
• Independent, extensible control of same-frequency superconducting qubits by selective broadcasting
• Quantum Logic between Remote Quantum Registers
• A quantum alternating operator ansatz with hard and soft constraints for lattice protein folding
• Operator Quantum Zeno Effect: Protecting Quantum Information with Noisy Two-Qubit Interactions
• Creation of quantum error correcting codes in the ultrastrong coupling regime
• Optimal control of fast and high-fidelity quantum gates with electron and nuclear spins of a nitrogen-vacancy center in diamond
• Fault-tolerant interface between quantum memories and quantum processors
• A scalable and fast artificial neural network syndrome decoder for surface codes
• Noise Thresholds for Higher Dimensional Systems using the Discrete Wigner Function
• Double-Transmon Coupler: Fast Two-Qubit Gate with No Residual Coupling for Highly Detuned Superconducting Qubits
• Quantum Circuits for Measuring Levin-Wen Operators
• Practicality of spin chain 'wiring' in diamond quantum technologies
• High-threshold topological quantum error correction against biased noise
• Quantum memories and error correction
• Spatial Noise Correlations in a Si/SiGe Two-Qubit Device from Bell State Coherences
• Quantum picturalism for topological cluster-state computing
• Ultrahigh-fidelity spatial mode quantum gates in high-dimensional space by diffractive deep neural networks
• Local Spin Susceptibilities of Low-Dimensional Electron Systems
• Cellular automaton decoders for topological quantum codes with noisy measurements and beyond
• Amplitude and frequency sensing of microwave fields with a superconducting transmon qudit
• Quantum control of hole spin qubits in double quantum dots
• High-fidelity adiabatic inversion of a ${}^{31}\mathrm{P}$ electron spin qubit in natural silicon
• General framework for constructing fast and near-optimal machine-learning-based decoder of the topological stabilizer codes
• Optimal control for fast and high-fidelity quantum gates in coupled superconducting flux qubits
• Toward a 2D Local Implementation of Quantum LDPC Codes
• Long-range entanglement for spin qubits via quantum Hall edge modes
• Noise Thresholds for the [[4, 2, 2]]-concatenated Toric Code
• A High Performance Compiler for Very Large Scale Surface Code Computations
• Optimal error correction in topological subsystem codes
• Cluster state generation using van der Waals and dipole-dipole interactions in optical lattices
• Coherent State Topological Cluster State Production
• Minimal Energy Cost to Initialize a Quantum Bit with Tolerable Error
• Analytic asymptotic performance of topological codes
• Quantum Computation with Topological Codes: from qubit to topological fault-tolerance
• Learning time-dependent noise to reduce logical errors: Real time error rate estimation in quantum error correction
• Tunable coupling between three qubits as a building block for a superconducting quantum computer
• Modeling noise and error correction for Majorana-based quantum computing
• Hierarchical surface code for network quantum computing with modules of arbitrary size
• Fast quantum transfer mediated by topological domain walls
• Renormalization group decoder for a four-dimensional toric code
• Numerical and analytical bounds on threshold error rates for hypergraph-product codes
• Fidelity Threshold of the Surface Code Beyond Single-Qubit Error Models
• Scaling laws for Shor's algorithm with a banded quantum Fourier transform
• Breakdown of Surface Code Error Correction Due to Coupling to a Bosonic Bath
• Generating Fault-Tolerant Cluster States from Crystal Structures
• Simulating the Transverse Ising Model on a Quantum Computer: Error Correction with the Surface Code
• Numerical Implementation of Just-In-Time Decoding in Novel Lattice Slices Through the Three-Dimensional Surface Code
• Highly photon loss tolerant quantum computing using hybrid qubits
• Quantum error correction in crossbar architectures
• Efficient simulation of quantum error correction under coherent error based on non-unitary free-fermionic formalism
• One-dimensional quantum computing with a 'segmented chain' is feasible with today's gate fidelities
• A Silicon Surface Code Architecture Resilient Against Leakage Errors
• Fault-tolerant fermionic quantum computation based on color code
• Tailored cluster states with high threshold under biased noise
• Stochastic Master Equation Analysis of Optimized Three-Qubit Nondemolition Parity Measurement
• Error rates and resource overheads of encoded three-qubit gates
• Concatenation of the Gottesman-Kitaev-Preskill code with the XZZX surface code
• Many-hypercube codes: High-rate quantum error-correcting codes for high-performance fault-tolerant quantum computing
• Fault-Tolerant Computing with Single Qudit Encoding
• Learning logical Pauli noise in quantum error correction
• Hierarchical memories: Simulating quantum LDPC codes with local gates
• Lattice Surgery on the Raussendorf Lattice
• Comparing Two-Qubit and Multi-Qubit Gates within the Toric Code
• Data-driven decoding of quantum error correcting codes using graph neural networks
• Logic Synthesis for Fault-Tolerant Quantum Computers
• Freely Scalable Quantum Technologies using Cells of 5-to-50 Qubits with Very Lossy and Noisy Photonic Links
• Noise threshold and resource cost of fault-tolerant quantum computing with Majorana fermions in hybrid systems
• Dynamical decoupling of a qubit with always-on control fields
• Error correction of transversal CNOT gates for scalable surface code computation
• Error-correction and noise-decoherence thresholds for coherent errors in planar-graph surface codes
• Single-Step Parity Check Gate Set for Quantum Error Correction
• Scalable Fermionic Error Correction in Majorana Surface Codes
• Fidelity of the surface code in the presence of a bosonic bath
• Accurate simulations of planar topological codes cannot use cyclic boundaries
• Calibration of cryogenic amplification chains using normal-metal--insulator--superconductor junctions
• Benchmarking quantum logic operations relative to thresholds for fault tolerance
• Actis: A Strictly Local Union-Find Decoder
• Feasibility of single-shot realizations of conditional three-qubit gates in exchange-coupled qubit arrays with local control
• A high threshold code for modular hardware with asymmetric noise
• Limits to Quantum Gate Fidelity from Near-Field Thermal and Vacuum Fluctuations
• On maximum-likelihood decoding with circuit-level errors
• Designing globally optimal entangling gates using geometric space curves
• High-Fidelity Electron Spin Gates for Scaling Diamond Quantum Register
• Quantum convolutional data-syndrome codes
• Violating Bell's inequality in gate-defined quantum dots
• Tradeoff between Leakage and Dephasing Errors in the Fluxonium Qubit
• Improving threshold for fault-tolerant color code quantum computing by flagged weight optimization
• Error-rate-agnostic decoding of topological stabilizer codes
• Concatenation Schemes for Topological Fault-tolerant Quantum Error Correction
• Non-Pauli errors can be efficiently sampled in qudit surface codes
• Dynamically corrected gates for qubits with always-on Ising couplings: Error model and fault-tolerance with the toric code
• Stability of topologically-protected quantum computing proposals as seen through spin glasses
• Fault-tolerant quantum speedup from constant depth quantum circuits
• Magnon-mediated quantum gates for superconducting qubits
• Realizing a class of stabilizer quantum error correction codes using a single ancilla and circular connectivity
• Integration of highly probabilistic sources into optical quantum architectures: perpetual quantum computation
• Cost-optimal single-qubit gate synthesis in the Clifford hierarchy
• A lower bound on the space overhead of fault-tolerant quantum computation
• Topological error correction with a Gaussian cluster state
• Highly tunable 2D silicon quantum dot array with coupling beyond nearest neighbors
• Self-consistent tomography of temporally correlated errors
• Adaptive Syndrome Extraction
• Geometric phase gates in dissipative quantum dynamics
• Generating and verifying graph states for fault-tolerant topological measurement-based quantum computing in 2D optical lattices
• A Substrate Scheduler for Compiling Arbitrary Fault-tolerant Graph States
• Resource optimization for fault-tolerant quantum computing
• Error correcting power of small topological codes
• Surface code fidelity at finite temperatures
• Pursuing high-fidelity control of spin qubits in natural Si/SiGe quantum dot
• Local Gradient Optimization of Modular Entangling Sequences
• Nonlinear Parity Readout with a Microwave Photodetector
• End-to-end switchless architecture for fault-tolerant photonic quantum computing
• Fast quantum gate via Feshbach-Pauli blocking in a nanoplasmonic trap
• Quantum computation with noisy operations
• A witness for topological order and stable quantum memories in abelian anyonic systems
• Time versus Hardware: Reducing Qubit Counts with a (Surface Code) Data Bus
• Resource comparison of two surface code implementations of small angle Z rotations
• Local gradient optimization of leakage-suppressing entangling sequences
• Classical Coding Approaches to Quantum Applications
• Efficient Syndrome Decoder for Heavy Hexagonal QECC via Machine Learning
• Quantum Computation and Communication in Bosonic Systems
• Break-even point of the quantum repetition code
• Efficient Decoding of Surface Code Syndromes for Error Correction in Quantum Computing
• Error-mitigated initialization of surface codes with non-Pauli stabilizers
• High-fidelity initialization a logical qubit with multiple injections
• Snowflake: A Distributed Streaming Decoder
• Decoder Dependence in Surface-Code Threshold Estimation under Digitized Hybrid Continuous-Variable and Discrete Noise
• All-to-all connectivity of Rydberg-atom-based quantum processors with messenger qubits
• Fault-tolerant fidelity based on few-qubit codes: Parity-check circuits for biased error channels
• Digital-Controlled Method of Conveyor-Belt Spin Shuttling in Silicon for Large-Scale Quantum Computation
• Passive and Deterministic Controlled-phase Gate for Single-photon Wavepackets Based on Time-reversal Symmetric Photon Transport
• Robust shaped pulses for arrays of superconducting or semiconductor spin qubits with fixed Ising coupling
• Decoding Quantum Error Correction Codes with Local Variation
• Enhanced local addressability of a spin array with local exchange pulses and global microwave driving