Decoding holographic codes with an integer optimization decoder

Harris RJ, Coupe E, Mcmahon NA, Brennen GK, Stace TM (2020)

Publication Type: Journal article

Publication year: 2020

Journal

Physical Review A American Physical Society

Book Volume: 102

Journal Issue: 6

DOI: 10.1103/PhysRevA.102.062417

Abstract

We develop a most likely error Pauli error decoding algorithm for stabilizer codes based on general purpose integer optimization. Using this decoder we analyze the performance of holographic codes against Pauli errors and find numerical evidence for thresholds against Pauli errors for bulk qubits. We compare the performance of holographic code families of various code rates and find phenomenological Pauli error thresholds ranging from 7% to 16%, depending on the code rate. Additionally we give numerical evidence that specific distance measures of the codes we consider scale polynomially with number of physical qubits.

Authors with CRIS profile

Nathan McMahon

Involved external institutions

University of Queensland AU Australia (AU) Macquarie University AU Australia (AU)

How to cite

APA:

Harris, R.J., Coupe, E., Mcmahon, N.A., Brennen, G.K., & Stace, T.M. (2020). Decoding holographic codes with an integer optimization decoder. Physical Review A, 102(6). https://doi.org/10.1103/PhysRevA.102.062417

MLA:

Harris, Robert J., et al. "Decoding holographic codes with an integer optimization decoder." Physical Review A 102.6 (2020).

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