Fault-tolerant quantum computation with high threshold in two dimensions

Abstract

We present a scheme of fault-tolerant quantum computation for a local architecture in two spatial dimensions. The error threshold is 0.75% for each source in an error model with preparation, gate, storage and measurement errors.

4 pages, 4 figures; v2: A single 2D layer of qubits (simple square lattice) with nearest-neighbor translation-invariant Ising interaction suffices. Slightly improved threshold

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• Quantum computational universality of hypergraph states with Pauli-X and Z basis measurements
• Introduction to Quantum Error Correction with Stabilizer Codes
• Fight or Flight: Cosmic Ray-Induced Phonons and the Quantum Surface Code
• Quantum computation with noisy operations
• Scalable quantum computation architecture using always-on Ising interactions via quantum feedforward
• Continuously varying critical exponents in an exactly solvable long-range cluster XY mode
• Error metric for non-trace-preserving quantum operations
• Resource comparison of two surface code implementations of small angle Z rotations
• Universal set of Dynamically Protected Gates for Bipartite Qubit Networks II: Soft Pulse Implementation of the [[5,1,3]] Quantum Error Correcting Code
• Does relativistic motion really freeze initially maximal entanglement?
• Propagation of correlations in Local Random Quantum Circuits
• Development of research network on Quantum Annealing Computation and Information using Google Scholar data
• Time versus Hardware: Reducing Qubit Counts with a (Surface Code) Data Bus
• A witness for topological order and stable quantum memories in abelian anyonic systems
• Clifford Manipulations of Stabilizer States: A graphical rule book for Clifford unitaries and measurements on cluster states, and application to photonic quantum computing
• Minimising surface-code failures using a color-code decoder
• Intrinsic Heralding and Optimal Decoders for Non-Abelian Topological Order
• Error-mitigated initialization of surface codes with non-Pauli stabilizers
• Nonlinear topological symmetry protection in a dissipative system
• Union-Intersection Union-Find for Decoding Depolarizing Errors in Topological Codes
• QUITS: A modular Qldpc code circUIT Simulator
• High-fidelity initialization a logical qubit with multiple injections
• Dispersive Qubit Readout of Temperature
• Taming Rydberg Decay with Measurement-based Quantum Computation
• A slightly smaller surface code S gate
• Efficient Eigenstate Preparation in an Integrable Model with Hilbert Space Fragmentation
• Targeted Clifford logical gates for hypergraph product codes
• General entropic constraints on CSS codes within magic distillation protocols
• Improving quantum gate performance through neighboring optimal control
• Optimal Scheduling of Graph States via Path Decompositions
• Nonclassical correlations and quadrature squeezing of photons in anisotropic quantum Rabi-Stark model
• Concatenated continuous driving of silicon qubit by amplitude and phase modulation
• Programming quantum computers using 3-D puzzles, coffee cups, and doughnuts
• The origin and influence of non-cavity modes in a micropillar Bragg microcavity
• Streaming Belief Propagation on Mixed-Alphabet Tanner Graphs for Practical Quantum Memory
• Generation of topologically useful entangled states
• Distance verification for classical and quantum LDPC codes
• Classical Control of Large-Scale Quantum Computers
• Scaling of Computational Order Parameters in Rydberg Atom Graph States
• Universal fault tolerant quantum computation in 2D without getting tied in knots
• The construction of a universal quantum gate set for the SU(2)k (k=5,6,7) anyon models via genetic optimized algorithm
• Covert Quantum Internet
• Homological Stabilizer Codes
• Reliable quantum circuits have defects
• Designing gate operations for single ion quantum computing in rare-earth-ion-doped crystals
• Nonclassical Photon-Bundle Correlations in Quantum Rabi Models
• Quantum Resonator as a Directional Quantum Emitter
• Linked-Cluster Technique for Finding the Distance of a Quantum LDPC Code
• A dynamic circuit for the honeycomb Floquet code
• Error correction in short time steps during the application of quantum gates
• A renormalization group decoding algorithm for topological quantum codes
• Unified Framework for Quantum Code Embedding
• Robust entanglement by continuous dynamical decoupling of the J-coupling interaction
• Wire Codes
• Beating the 3 dB Limit for Intracavity Squeezing and Its Application to Nondemolition Qubit Readout
• Digital-Controlled Method of Conveyor-Belt Spin Shuttling in Silicon for Large-Scale Quantum Computation