research-article

A New Error-Modeling of Hardy’s Paradox for Superconducting Qubits and Its Experimental Verification

Authors:

Goutam PaulAuthors Info & Claims

ACM Transactions on Quantum Computing, Volume 1, Issue 1

Article No.: 4, Pages 1 - 24

https://doi.org/10.1145/3396239

Published: 02 October 2020 Publication History

Abstract

Hardy’s paradox (equivalently, Hardy’s non-locality or Hardy’s test) [Phys. Rev. Lett. 68, 2981 (1992)] is used to show non-locality without inequalities, and it has been tested several times using optical circuits. We, for the first time, experimentally test Hardy’s paradox of non-locality in superconducting qubits. For practical verification of Hardy’s paradox, we argue that the error-modeling used in optical circuits is not useful for superconducting qubits. So, we propose a new error-modeling for Hardy’s paradox and a new method to estimate the lower bound on Hardy’s probability (i.e., the probability of a specific event in Hardy’s test) for superconducting qubits. Our results confirmed the theory that any non-maximally entangled state of two qubits violates Hardy’s equations; whereas, any maximally entangled state and product state of two qubits do not exhibit Hardy’s non-locality. Further, we point out the difficulties associated with the practical implementation of quantum protocols based on Hardy’s paradox and propose possible remedies. We also propose two performance measures for any two qubits of any quantum computer based on superconducting qubits.

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Zhao SZhao SDong HLiu WChen JChen KZhang QPan J(2024)Loophole-Free Test of Local Realism via Hardy’s ViolationPhysical Review Letters10.1103/PhysRevLett.133.060201133:6Online publication date: 7-Aug-2024
https://doi.org/10.1103/PhysRevLett.133.060201
Etezad-Razavi SHardy L(2024)Paradox with phase-coupled interferometersPhysical Review A10.1103/PhysRevA.110.042214110:4Online publication date: 21-Oct-2024
https://doi.org/10.1103/PhysRevA.110.042214
Sukamto HYuwana LPurwanto AMuniandy S(2024)Efficiency of the non-maximally entangled quantum Otto enginePhysica Scripta10.1088/1402-4896/ad2cd199:4(045302)Online publication date: 7-Mar-2024
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Index Terms

A New Error-Modeling of Hardy’s Paradox for Superconducting Qubits and Its Experimental Verification
1. Hardware
  1. Emerging technologies
    1. Quantum technologies
      1. Quantum computation

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cover image ACM Transactions on Quantum Computing

ACM Transactions on Quantum Computing Volume 1, Issue 1

December 2020

139 pages

EISSN:2643-6817

DOI:10.1145/3427922

Editors:
Travis S. Humble
Oak Ridge National Laboratory, USA
,
Mingsheng Ying
University of Technology Sydney, Australia

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Publication History

Published: 02 October 2020

Online AM: 06 May 2020

Accepted: 01 April 2020

Revised: 01 April 2020

Received: 01 November 2019

Published in TQC Volume 1, Issue 1

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Cited By

Zhao SZhao SDong HLiu WChen JChen KZhang QPan J(2024)Loophole-Free Test of Local Realism via Hardy’s ViolationPhysical Review Letters10.1103/PhysRevLett.133.060201133:6Online publication date: 7-Aug-2024
https://doi.org/10.1103/PhysRevLett.133.060201
Etezad-Razavi SHardy L(2024)Paradox with phase-coupled interferometersPhysical Review A10.1103/PhysRevA.110.042214110:4Online publication date: 21-Oct-2024
https://doi.org/10.1103/PhysRevA.110.042214
Sukamto HYuwana LPurwanto AMuniandy S(2024)Efficiency of the non-maximally entangled quantum Otto enginePhysica Scripta10.1088/1402-4896/ad2cd199:4(045302)Online publication date: 7-Mar-2024
https://doi.org/10.1088/1402-4896/ad2cd1
Tran DNguyen VHo LNguyen H(2023)Increased success probability in Hardy's nonlocality: Theory and demonstrationPhysical Review A10.1103/PhysRevA.107.042210107:4Online publication date: 14-Apr-2023
https://doi.org/10.1103/PhysRevA.107.042210

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