In:
Quantum, Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften, Vol. 7 ( 2023-09-26), p. 1123-
Abstract:
A common approach to studying the performance of quantum error correcting codes is to assume independent and identically distributed single-qubit errors. However, the available experimental data shows that realistic errors in modern multi-qubit devices are typically neither independent nor identical across qubits. In this work, we develop and investigate the properties of topological surface codes adapted to a known noise structure by Clifford conjugations. We show that the surface code locally tailored to non-uniform single-qubit noise in conjunction with a scalable matching decoder yields an increase in error thresholds and exponential suppression of sub-threshold failure rates when compared to the standard surface code. Furthermore, we study the behaviour of the tailored surface code under local two-qubit noise and show the role that code degeneracy plays in correcting such noise. The proposed methods do not require additional overhead in terms of the number of qubits or gates and use a standard matching decoder, hence come at no extra cost compared to the standard surface-code error correction.
Type of Medium:
Online Resource
ISSN:
2521-327X
DOI:
10.22331/q-2023-09-26-1123
Language:
English
Publisher:
Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften
Publication Date:
2023
detail.hit.zdb_id:
2931392-2
