Accession Number:

AD1090801

Title:

An integrity measure to benchmark quantum error correcting memories

Descriptive Note:

Journal Article - Open Access

Corporate Author:

University of Oxford, Department of Materials Oxford United Kingdom

Report Date:

2018-02-05

Pagination or Media Count:

24.0

Abstract:

Rapidly developing experiments across multiple platforms now aim to realise small quantum codes, and so demonstrate a memory within which a logical qubit can be protected from noise. There is a need to benchmark the achievements in these diverse systems, and to compare the inherent power of the codes they rely upon. We describe a recently introduced performance measure called integrity, which relates to the probability that an ideal agent will successfully guess the state of a logical qubit after a period of storage in the memory. Integrity is straightforward to evaluate experimentally without state tomography and it can be related to various established metrics such as the logical fidelity and the pseudo-threshold. We offer a set of experimental milestones that are steps towards demonstrating unconditionally superior encoded memories. Using intensive numerical simulations we compare memories based on the five-qubit code, the seven-qubit Steane code, and a nine-qubit code which is the smallest instance of a surface code we assess both the simple and fault-tolerant implementations of each. While the best code upon which to base a memory does vary according to the nature and severity of the noise, nevertheless certain trends emerge.

Subject Categories:

  • Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE