Journal article
Constructing smaller pauli twirling sets for arbitrary error channels
- Abstract:
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Twirling is a technique widely used for converting arbitrary noise channels into Pauli channels in error threshold estimations of quantum error correction codes. It is vitally useful both in real experiments and in classical quantum simulations. Minimising the size of the twirling gate set increases the efficiency of simulations and in experiments it might reduce both the number of runs required and the circuit depth (and hence the error burden). Conventional twirling uses the full set of Pauli gates as the set of twirling gates. This article provides a theoretical background for Pauli twirling and a way to construct a twirling gate set with a number of members comparable to the size of the Pauli basis of the given error channel, which is usually much smaller than the full set of Pauli gates. We also show that twirling is equivalent to stabiliser measurements with discarded measurement results, which enables us to further reduce the size of the twirling gate set.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 2.2MB, Terms of use)
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- Publisher copy:
- 10.1038/s41598-019-46722-7
Authors
- Publisher:
- Springer Nature
- Journal:
- Scientific Reports More from this journal
- Volume:
- 9
- Article number:
- 11281
- Publication date:
- 2019-08-02
- Acceptance date:
- 2019-07-02
- DOI:
- EISSN:
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2045-2322
- Keywords:
- Pubs id:
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pubs:1026467
- UUID:
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uuid:dd1a4e8c-ab18-4d8a-888b-68df8f1e6667
- Local pid:
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pubs:1026467
- Source identifiers:
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1026467
- Deposit date:
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2019-07-03
Terms of use
- Copyright holder:
- Cai et al
- Copyright date:
- 2019
- Notes:
- © The Authors 2019. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
- Licence:
- CC Attribution (CC BY)
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