Quantum Error Correction in Spatially Correlated Quantum Noise

Abstract

We consider quantum error correction of quantum-noise that is created by a local interaction of qubits with a common bosonic bath. The possible exchange of bath bosons between qubits gives rise to spatial and temporal correlations in the noise. We find that these kind of noise correlations have a strong negative impact on quantum error correction.

4 pages, 1 figure, final version with minor corrections

References in corpus (12)

• Good Quantum Error-Correcting Codes Exist
• Multiple Particle Interference and Quantum Error Correction
• Reliable Quantum Computers
• Quantum Computers and Dissipation
• Distance measures to compare real and ideal quantum processes
• Maintaining coherence in Quantum Computers
• Resilient Quantum Computation: Error Models and Thresholds
• Reducing decoherence in quantum computer memory with all quantum bits coupling to the same environment
• Decoherence of quantum registers
• Fault-Tolerant Quantum Computation For Local Non-Markovian Noise
• Correlated Errors in Quantum Error Corrections
• Active suppression of dephasing in Josephson-junction qubits

Cited by in corpus (47)

• Quantum channels and memory effects
• Pair-wise decoherence in coupled spin qubit networks
• Noise-correlation spectrum for a pair of spin qubits in silicon
• Quantum Stabilizer Codes for Correlated and Asymmetric Depolarizing Errors
• Quantum simulations and experiments on Rabi oscillations of spin qubits: intrinsic {\sl vs} extrinsic damping
• Decoherence by Correlated Noise and Quantum Error Correction
• Quantum Error Correction with Quantum Autoencoders
• Purification of large bicolorable graph states
• Distributed quantum error correction for chip-level catastrophic errors
• Bath-induced collective phenomena on superconducting qubits: synchronization, subradiance, and entanglement generation
• Smoking-gun signatures of non-Markovianity of a superconducting qubit
• Incomplete pure dephasing of N-qubit entangled W states
• Hamiltonian Formulation of Quantum Error Correction and Correlated Noise: The Effects Of Syndrome Extraction in the Long Time Limit
• Fidelity Threshold of the Surface Code Beyond Single-Qubit Error Models
• Correlated vs. uncorrelated noise acting on a quantum refrigerator
• Impact of correlations and heavy-tails on quantum error correction
• Log-domain decoding of quantum LDPC codes over binary finite fields
• Experimental quantification of spatial correlations in quantum dynamics
• Correlated errors can lead to better performance of quantum codes
• Quantifying Spatial Correlations of General Quantum Dynamics
• Quantum Computers: Noise Propagation and Adversarial Noise Models
• Universal quantum computation by the unitary control of ancilla qubits and using a fixed ancilla-register interaction
• Quantifying the Performance of Quantum Codes
• Abatement of Ionizing Radiation for Superconducting Quantum Devices
• Continuous-time dynamics and error scaling of noisy highly-entangling quantum circuits
• Detrimental Decoherence
• Anomalous distribution of magnetization in an Ising spin glass with correlated disorder
• Computational Electromagnetics Meets Spin Qubits: Controlling Noise Effects in Quantum Sensing and Computing
• Removing correlations in signals transmitted over a quantum memory channel
• Limitations to Dynamical Error Suppression and Gate-Error Virtualization from Temporally Correlated Nonclassical Noise
• Nanophotonic Super-dephasing in Collective Atom-Atom Interactions
• Surpassing spectator qubits with photonic modes and continuous measurement for Heisenberg-limited noise mitigation
• Optimal correction of independent and correlated errors
• Recovery With Incomplete Knowledge: Fundamental Bounds on Real-Time Quantum Memories
• Invariance of success probability in Grover's quantum search under local noise with memory
• Decoherence of encoded quantum registers
• Revealing correlated noise with single-qubit operations
• Lindblad-like quantum tomography for non-Markovian quantum dynamical maps
• How Quantum Computers Can Fail
• Noise cross-correlations from single-shot measurements
• Semiclassical model for a memory dephasing channel
• Relaxation times do not capture logical qubit dynamics
• Robust Tripartite Entanglement Generation via Correlated Noise in Spin Qubits
• Exact mapping of a spin glass with correlated disorder to the pure Ising model
• Suppressing correlated noise in signals transmitted over the Gaussian memory channels using $2N$-port splitter and phase flips
• Concatenation of Error Avoiding with Error Correcting Quantum Codes for Correlated Noise Models
• Quantum Error Correction of Time-Correlated Errors