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Design and experimental performance of local entanglement witness operators

David Amaro Fernandez, Markus Muller

Physical Review A, Volume: 101, Issue: 1, Start page: 012317

Swansea University Authors: David Amaro Fernandez, Markus Muller

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DOI (Published version): 10.1103/physreva.101.012317

Abstract

Entanglement is a central concept in quantum information and a key resource for many quantum protocols. In this work we propose and analyze a class of entanglement witnesses that detect the presence of entanglement in subsystems of experimental multi-qubit stabilizer states. The witnesses we propose...

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Published in: Physical Review A
ISSN: 2469-9926 2469-9934
Published: American Physical Society (APS) 2020
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URI: https://cronfa.swan.ac.uk/Record/cronfa53043
first_indexed 2019-12-17T19:14:46Z
last_indexed 2025-04-11T04:39:46Z
id cronfa53043
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spelling 2025-04-10T15:44:55.8989266 v2 53043 2019-12-17 Design and experimental performance of local entanglement witness operators 1d989c184769ead4995394f0306f4f64 David Amaro Fernandez David Amaro Fernandez true false 9b2ac559af27c967ece69db08b83762a Markus Muller Markus Muller true false 2019-12-17 BGPS Entanglement is a central concept in quantum information and a key resource for many quantum protocols. In this work we propose and analyze a class of entanglement witnesses that detect the presence of entanglement in subsystems of experimental multi-qubit stabilizer states. The witnesses we propose can be decomposed into sums of Pauli operators and can be efficiently evaluated by either two measurement settings only or at most a number of measurements that only depends on the size of the subsystem of interest. We provide two constructive methods to design the local witness operators, the first one based on the local unitary equivalence between graph and stabilizer states, and the second one based on sufficient and necessary conditions that the respective set of constituent Pauli operators needs to fulfill. We theoretically establish the noise tolerance of the proposed witnesses and benchmark their practical performance by analyzing the local entanglement structure of an experimental seven-qubit quantum error correction code. Journal Article Physical Review A 101 1 012317 American Physical Society (APS) 2469-9926 2469-9934 13 1 2020 2020-01-13 10.1103/physreva.101.012317 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University Not Required We acknowledge support by U.S. A.R.O. through Grant No. W911NF-14-1-010. M.M. acknowledges support from the AQTION project (820495), funded by the European Union Quantum Technology Flagship. The research is also based upon work supported by the Office of the Director of National Intelligence (ODNI), Intelligence Advanced Research Projects Activity (IARPA), via the U.S. Army Research Office Grant No. W911NF-16-1-0070. 2025-04-10T15:44:55.8989266 2019-12-17T13:17:39.4075584 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics David Amaro Fernandez 1 Markus Muller 2 53043__16120__8afbf05b39124c079b85e348427a8ce2.pdf 53043.pdf 2019-12-17T13:19:40.3403485 Output 1819465 application/pdf Accepted Manuscript true true eng
title Design and experimental performance of local entanglement witness operators
spellingShingle Design and experimental performance of local entanglement witness operators
David Amaro Fernandez
Markus Muller
title_short Design and experimental performance of local entanglement witness operators
title_full Design and experimental performance of local entanglement witness operators
title_fullStr Design and experimental performance of local entanglement witness operators
title_full_unstemmed Design and experimental performance of local entanglement witness operators
title_sort Design and experimental performance of local entanglement witness operators
author_id_str_mv 1d989c184769ead4995394f0306f4f64
9b2ac559af27c967ece69db08b83762a
author_id_fullname_str_mv 1d989c184769ead4995394f0306f4f64_***_David Amaro Fernandez
9b2ac559af27c967ece69db08b83762a_***_Markus Muller
author David Amaro Fernandez
Markus Muller
author2 David Amaro Fernandez
Markus Muller
format Journal article
container_title Physical Review A
container_volume 101
container_issue 1
container_start_page 012317
publishDate 2020
institution Swansea University
issn 2469-9926
2469-9934
doi_str_mv 10.1103/physreva.101.012317
publisher American Physical Society (APS)
college_str Faculty of Science and Engineering
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hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
document_store_str 1
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description Entanglement is a central concept in quantum information and a key resource for many quantum protocols. In this work we propose and analyze a class of entanglement witnesses that detect the presence of entanglement in subsystems of experimental multi-qubit stabilizer states. The witnesses we propose can be decomposed into sums of Pauli operators and can be efficiently evaluated by either two measurement settings only or at most a number of measurements that only depends on the size of the subsystem of interest. We provide two constructive methods to design the local witness operators, the first one based on the local unitary equivalence between graph and stabilizer states, and the second one based on sufficient and necessary conditions that the respective set of constituent Pauli operators needs to fulfill. We theoretically establish the noise tolerance of the proposed witnesses and benchmark their practical performance by analyzing the local entanglement structure of an experimental seven-qubit quantum error correction code.
published_date 2020-01-13T08:58:36Z
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score 11.060726

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