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Adaptive Bayesian phase estimation for quantum error correcting codes
New Journal of Physics, Volume: 21, Issue: 12, Start page: 123027
Swansea University Authors:
Fernando Martinez Garcia, Davide Vodola , Markus Muller
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DOI (Published version): 10.1088/1367-2630/ab5c51
Abstract
Realisation of experiments even on small and medium-scale quantum computers requires an optimisation of several parameters to achieve high-fidelity operations. As the size of the quantum register increases, the characterisation of quantum states becomes more difficult since the number of parameters...
Published in: | New Journal of Physics |
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ISSN: | 1367-2630 |
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IOP Publishing
2019
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URI: | https://cronfa.swan.ac.uk/Record/cronfa52967 |
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2020-12-14T16:37:05.4781390 v2 52967 2019-12-05 Adaptive Bayesian phase estimation for quantum error correcting codes 0f796657d158c24445cc6abf0d3582ea Fernando Martinez Garcia Fernando Martinez Garcia true false d00cf42047dd74f072891c2c8f37f32e 0000-0003-0880-3548 Davide Vodola Davide Vodola true false 9b2ac559af27c967ece69db08b83762a Markus Muller Markus Muller true false 2019-12-05 SPH Realisation of experiments even on small and medium-scale quantum computers requires an optimisation of several parameters to achieve high-fidelity operations. As the size of the quantum register increases, the characterisation of quantum states becomes more difficult since the number of parameters to be measured grows as well and finding efficient observables in order to estimate the parameters of the model becomes a crucial task. Here we propose a method relying on application of Bayesian inference that can be used to determine systematic, unknown phase shifts of multi-qubit states. This method offers important advantages as compared to Ramsey-type protocols. First, application of Bayesian inference allows the selection of an adaptive basis for the measurements which yields the optimal amount of information about the phase shifts of the state. Secondly, this method can process the outcomes of different observables at the same time. This leads to a substantial decrease in the resources needed for the estimation of phases, speeding up the state characterisation and optimisation in experimental implementations. The proposed Bayesian inference method can be applied in various physical platforms that are currently used as quantum processors. Journal Article New Journal of Physics 21 12 123027 IOP Publishing 1367-2630 16 12 2019 2019-12-16 10.1088/1367-2630/ab5c51 COLLEGE NANME Physics COLLEGE CODE SPH Swansea University 2020-12-14T16:37:05.4781390 2019-12-05T10:45:51.9968357 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Fernando Martinez Garcia 1 Davide Vodola 0000-0003-0880-3548 2 Markus Muller 3 52967__16126__8ec54f05a4da430b9506bd0d40784756.pdf 52967.pdf 2019-12-17T15:51:13.0542783 Output 1505870 application/pdf Version of Record true Released under the terms of a Creative Commons Attribution 3.0 licence (CC-BY). true eng http://creativecommons.org/licenses/by/3.0/ |
title |
Adaptive Bayesian phase estimation for quantum error correcting codes |
spellingShingle |
Adaptive Bayesian phase estimation for quantum error correcting codes Fernando Martinez Garcia Davide Vodola Markus Muller |
title_short |
Adaptive Bayesian phase estimation for quantum error correcting codes |
title_full |
Adaptive Bayesian phase estimation for quantum error correcting codes |
title_fullStr |
Adaptive Bayesian phase estimation for quantum error correcting codes |
title_full_unstemmed |
Adaptive Bayesian phase estimation for quantum error correcting codes |
title_sort |
Adaptive Bayesian phase estimation for quantum error correcting codes |
author_id_str_mv |
0f796657d158c24445cc6abf0d3582ea d00cf42047dd74f072891c2c8f37f32e 9b2ac559af27c967ece69db08b83762a |
author_id_fullname_str_mv |
0f796657d158c24445cc6abf0d3582ea_***_Fernando Martinez Garcia d00cf42047dd74f072891c2c8f37f32e_***_Davide Vodola 9b2ac559af27c967ece69db08b83762a_***_Markus Muller |
author |
Fernando Martinez Garcia Davide Vodola Markus Muller |
author2 |
Fernando Martinez Garcia Davide Vodola Markus Muller |
format |
Journal article |
container_title |
New Journal of Physics |
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21 |
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12 |
container_start_page |
123027 |
publishDate |
2019 |
institution |
Swansea University |
issn |
1367-2630 |
doi_str_mv |
10.1088/1367-2630/ab5c51 |
publisher |
IOP Publishing |
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Faculty of Science and Engineering |
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Faculty of Science and Engineering |
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School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics |
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description |
Realisation of experiments even on small and medium-scale quantum computers requires an optimisation of several parameters to achieve high-fidelity operations. As the size of the quantum register increases, the characterisation of quantum states becomes more difficult since the number of parameters to be measured grows as well and finding efficient observables in order to estimate the parameters of the model becomes a crucial task. Here we propose a method relying on application of Bayesian inference that can be used to determine systematic, unknown phase shifts of multi-qubit states. This method offers important advantages as compared to Ramsey-type protocols. First, application of Bayesian inference allows the selection of an adaptive basis for the measurements which yields the optimal amount of information about the phase shifts of the state. Secondly, this method can process the outcomes of different observables at the same time. This leads to a substantial decrease in the resources needed for the estimation of phases, speeding up the state characterisation and optimisation in experimental implementations. The proposed Bayesian inference method can be applied in various physical platforms that are currently used as quantum processors. |
published_date |
2019-12-16T04:05:40Z |
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1763753423406104576 |
score |
11.021648 |