Fault-tolerant quantum computation versus Gaussian noise

Abstract

We study the robustness of a fault-tolerant quantum computer subject to Gaussian non-Markovian quantum noise, and we show that scalable quantum computation is possible if the noise power spectrum satisfies an appropriate "threshold condition." Our condition is less sensitive to very-high-frequency noise than previously derived threshold conditions for non-Markovian noise.

30 pages, 6 figures

References in corpus (18)

• Quantum Computing with Very Noisy Devices
• Topological fault-tolerance in cluster state quantum computation
• Resilient Quantum Computation: Error Models and Thresholds
• Fault-tolerant quantum computation with long-range correlated noise
• Subsystem fault tolerance with the Bacon-Shor code
• Fault-tolerant quantum computation against biased noise
• Fault-Tolerant Quantum Computation For Local Non-Markovian Noise
• Effective fault-tolerant quantum computation with slow measurements
• Dynamical description of quantum computing: generic nonlocality of quantum noise
• Fault-Tolerant Computing With Biased-Noise Superconducting Qubits
• The Fibonacci scheme for fault-tolerant quantum computation
• Level Reduction and the Quantum Threshold Theorem
• Error-detection-based quantum fault tolerance against discrete Pauli noise
• Resilient Quantum Computation in Correlated Environments: A Quantum Phase Transition Perspective
• Hamiltonian Formulation of Quantum Error Correction and Correlated Noise: The Effects Of Syndrome Extraction in the Long Time Limit
• Decoherence in quantum walks and quantum computers
• Comment on "Resilient Quantum Computation in Correlated Environments: A Quantum Phase Transition Perspective" and "Fault-tolerant Quantum Computation with Longe-range Correlated Noise"
• Bounding Fault-Tolerant Thresholds for Purification and Quantum Computation

Cited by in corpus (47)

• Optimizing Quantum Error Correction Codes with Reinforcement Learning
• Multiqubit Spectroscopy of Gaussian Quantum Noise
• Combining dynamical decoupling with fault-tolerant quantum computation
• Fault-tolerant error correction with the gauge color code
• Two-qubit spectroscopy of spatiotemporally correlated quantum noise in superconducting qubits
• Efficient estimation of energy transfer efficiency in light-harvesting complexes
• Analysing correlated noise on the surface code using adaptive decoding algorithms
• Errors and pseudo-thresholds for incoherent and coherent noise
• Limitations in quantum computing from resource constraints
• Simulation of rare events in quantum error correction
• Quantifying the effects of local many-qubit errors and non-local two-qubit errors on the surface code
• Optimally band-limited spectroscopy of control noise using a qubit sensor
• Dynamical decoupling sequences for multi-qubit dephasing suppression and long-time quantum memory
• Surface Code Threshold in the Presence of Correlated Errors
• Coherent Forward Broadening in Cold Atom Clouds
• Predicting non-Markovian superconducting qubit dynamics from tomographic reconstruction
• Optimally combining dynamical decoupling and quantum error correction
• High-threshold topological quantum error correction against biased noise
• Decoherence of two entangled spin qubits coupled to an interacting sparse nuclear spin bath: application to nitrogen vacancy centers
• Testing quantum fault tolerance on small systems
• Dynamically corrected gates suppress spatio-temporal error correlations as measured by randomized benchmarking
• The dynamical-decoupling-based spatiotemporal noise spectroscopy
• Fidelity Threshold of the Surface Code Beyond Single-Qubit Error Models
• Filter Functions for Quantum Processes under Correlated Noise
• Decoherence of up to 8-qubit entangled states in a 16-qubit superconducting quantum processor
• Quantum Computers: Noise Propagation and Adversarial Noise Models
• Benchmarking quantum gates and circuits
• Fitting quantum noise models to tomography data
• Fidelity of the surface code in the presence of a bosonic bath
• SPAM-Robust Multi-axis Quantum Noise Spectroscopy in Temporally Correlated Environments
• Quantum information/entanglement transfer rates between subsystems
• Superradiance as a Source of Collective Decoherence in Quantum Computers
• Bound on quantum computation time: Quantum error correction in a critical environment
• Open-System Quantum Error Correction
• Limitations to Dynamical Error Suppression and Gate-Error Virtualization from Temporally Correlated Nonclassical Noise
• Experimental demonstration of Pauli-frame randomization on a superconducting qubit
• An introduction to reliable quantum computation
• Resource optimization for fault-tolerant quantum computing
• Surface code fidelity at finite temperatures
• Supercomputer simulations of transmon quantum computers
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
• Platform tailored co-design of gate-based quantum simulation
• Long-time efficacy of the surface code in the presence of a superohmic environment
• Sufficient condition on noise correlations for scalable quantum computing
• Suppression of effective noise in Hamiltonian simulations
• Large Sample Superradiance and Fault-Tolerant Quantum Computation
• Filter Function Formalism and Software Package to Compute Quantum Processes of Gate Sequences for Classical Non-Markovian Noise