Cited by 32Quantum Mechanics and ApplicationsQuantum Information and CryptographyQuantum Computing Algorithms and Architecture

Mermin's inequalities of multiple qubits with orthogonal measurements on IBM Q 53‐qubit system

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Huang, Wei‐Jia, Chien, Wei‐Chen, Cho, Chien‐Hung, Huang, Che‐Chun, Huang, Tsung‐Wei, Chang, Ching‐Ray·2020·Quantum Engineering

Abstract

Entanglement properties of IBM Q 53-qubit quantum computer are carefully examined with the noisy intermediate-scale quantum technology. We study Greenberger-Horne-Zeilinger-like states with multiple qubits (N = 2 to N = 7) on IBM Rochester and compare their maximal violation values of Mermin's polynomials with analytic results. A rule of N-qubits orthogonal measurements is taken to further justify the entanglement less than maximal values of local realism. The orthogonality of measurements is another reliable criterion for entanglement except the maximal values of LR. Our results indicate that the entanglement of IBM 53 qubits is reasonably good when N ≤ 4, while for the longer entangle chains, the entanglement is only valid for some special connectivity.

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  • Quantum Origin generates randomness through a quantum process evaluated as quantum verifiable which utilizes a test for violation of a Bell Inequality or a higher order test of a Mermin Inequality on a NISQ machine.

    “Quantum origin generates randomness through a quantum process evaluated as quantum verifiable which utilizes a test for the violation of a Bell Inequality112,113 or a higher order test of a Mermin Inequality on a NISQ machine114.”

    From Quantum-resistance in blockchain networks (2023) · cites this paper as [114]

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Research works printed but not linked: 6

  1. Bell JS. On the Einstein Podolsky Rosen paradox. Phys Ther. 1964;1:195.
  2. McArdle S, Endo S, Aspuru-Guzik A, Benjamin S Yuan X. Quantum computational chemistry. 2018; arXiv preprint arXiv: 1808.10402. · arXiv
  3. Chang C-R, Lin Y-C, Chiu K-L, Huang T-W. The second quantum revolution with quantum computers. AAPPS Bulletin. 2020;30:9-22. http://aappsbulletin.org/myboard/read.php?Board=featurearticles&id=236.
  4. Rice JE, Gujarati TP, Takeshita TY, et al. Quantum chemistry simulations of dominant products in lithium-sulfur batteries. 2020; arXiv preprint arXiv:2001.01120. · arXiv
  5. Robert A, Barkoutsos PK, Woerner S Tavernelli I Resource-efficient quantum algorithm for protein folding. 2019; arXiv preprint arXiv:1908.02163. · arXiv
  6. Mooney GJ, Hill CD Hollenberg LC Entanglement in a 20-qubit superconducting quantum computer. 2019; arXiv preprint arXiv:1903.11747. · arXiv

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Authors
Huang, W., Chien, W., Cho, C., Huang, C., Huang, T., & Chang, C.
Affiliations
  • National Taiwan University (TW)
  • Chung Yuan Christian University (TW)
Corresponding author
Chang, Ching‐Ray
Venue
Quantum Engineering
Publisher
Wiley
Published
2020-06
Volume
2
Issue
2
ISSN
2577-0470 (ISSN-L)
OpenAlex
W3028687185
Cited by
32
References
25
Citations by year
2025: 3 · 2024: 4 · 2023: 4 · 2022: 8 · 2021: 10 · 2020: 2 · 2019: 1
FWCI
2.44
Type
journal article
Language
en
Open access
Locations
  • Quantum Engineering (publishedVersion, cc-by)
  • arXiv (Cornell University) (submittedVersion)
  • arXiv (Cornell University)
Funders
Ministry of Science and Technology, Taiwan (NTU‐107L104064, MOST 107‐2627‐E‐002‐001‐MY3, 108‐2627‐E‐0)
Topics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
  • Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
Keywords
Mermin inequality, GHZ states, multiqubit entanglement, local realism, entanglement detection, qubit connectivity

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