Learning time-dependent noise to reduce logical errors: Real time error rate estimation in quantum error correction

Abstract

Quantum error correction is important to quantum information processing, which allows us to reliably process information encoded in quantum error correction codes. Efficient quantum error correction benefits from the knowledge of error rates. We propose a protocol for monitoring error rates in real time without interrupting the quantum error correction. Any adaptation of the quantum error correction code or its implementation circuit is not required. The protocol can be directly applied to the most advanced quantum error correction techniques, e.g. surface code. A Gaussian processes algorithm is used to estimate and predict error rates based on error correction data in the past. We find that using these estimated error rates, the probability of error correction failures can be significantly reduced by a factor increasing with the code distance.

11 pages, 5 figures and 2 tables

References in corpus (11)

• Surface codes: Towards practical large-scale quantum computation
• Randomized Benchmarking of Quantum Gates
• Topological Quantum Distillation
• Room temperature quantum bit storage exceeding 39 minutes using ionized donors in 28-silicon
• Quantum computing with nearest neighbor interactions and error rates over 1%
• Efficient Algorithms for Maximum Likelihood Decoding in the Surface Code
• Suppressing relaxation in superconducting qubits by quasiparticle pumping
• Optimal and Efficient Decoding of Concatenated Quantum Block Codes
• In-situ characterization of quantum devices with error correction
• Instantaneous Quantum Channel Estimation during Quantum Information Processing
• Scalable extraction of error models from the output of error detection circuits

Cited by in corpus (14)

• Learning-based quantum error mitigation
• Entanglement-enhanced quantum metrology: from standard quantum limit to Heisenberg limit
• Detecting and tracking drift in quantum information processors
• Analysing correlated noise on the surface code using adaptive decoding algorithms
• Pauli channels can be estimated from syndrome measurements in quantum error correction
• Learning logical Pauli noise in quantum error correction
• Optimal noise estimation from syndrome statistics of quantum codes
• Quantum computer error structure probed by quantum error correction syndrome measurements
• Fault-tolerant compiling of classically hard IQP circuits on hypercubes
• Self-consistent tomography of temporally correlated errors
• Recovery With Incomplete Knowledge: Fundamental Bounds on Real-Time Quantum Memories
• Rare Events and Griffiths Phases in Topological Quantum Error Correction
• Calibration of syndrome measurements in a single experiment
• Bayesian inference of general noise-model parameters from the syndrome statistics of surface codes