• P. Baireuther
  • M. D. Caio
  • B. Criger
  • C. W.J. Beenakker
  • T. E. O'Brien

A quantum computer needs the assistance of a classical algorithm to detect and identify errors that affect encoded quantum information. At this interface of classical and quantum computing the technique of machine learning has appeared as a way to tailor such an algorithm to the specific error processes of an experiment - without the need for a priori knowledge of the error model. Here, we apply this technique to topological color codes. We demonstrate that a recurrent neural network with long short-term memory cells can be trained to reduce the error rate L of the encoded logical qubit to values much below the error rate phys of the physical qubits - fitting the expected power law scaling , with d the code distance. The neural network incorporates the information from 'flag qubits' to avoid reduction in the effective code distance caused by the circuit. As a test, we apply the neural network decoder to a density-matrix based simulation of a superconducting quantum computer, demonstrating that the logical qubit has a longer life-time than the constituting physical qubits with near-term experimental parameters.

Original languageEnglish
Article number013003
Number of pages13
JournalNew Journal of Physics
Issue number1
Publication statusPublished - 8 Jan 2019

    Research areas

  • machine learning, quantum error correction, recurrent neural network, topological color codes

ID: 52180406