Adaptive Weight Estimator for Quantum Error Correction in a Time‐Dependent Environment

Abstract

Quantum error correction of a surface code or repetition code requires the pairwise matching of error events in a space‐time graph of qubit measurements, such that the total weight of the matching is minimized. The input weights follow from a physical model of the error processes that affect the qubits. This approach becomes problematic if the system has sources of error that change over time. Here, it is shown that the weights can be determined from the measured data in the absence of an error model. The resulting adaptive decoder performs well in a time‐dependent environment, provided that the characteristic timescale τenv of the variations is greater than , with the duration of one error‐correction cycle and the typical error probability per qubit in one cycle.

Document Details

Document Type
Pub Defense Publication
Publication Date
Jul 30, 2018
Source ID
10.1002/qute.201800012

Entities

People

  • Brian Tarasinski
  • Carlo W. J. Beenakker
  • Stephen T. Spitz
  • Thomas E. O’brien

Organizations

  • Dutch Research Council
  • European Research Council
  • Intelligence Advanced Research Projects Activity
  • Leiden University

Tags

Fields of Study

  • Physics

Readers

  • Computational Modeling and Simulation
  • Computer Programming and Software Development.
  • Graph Algorithms and Convex Optimization.

Technology Areas

  • Quantum Computing
  • Space