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The Gauge Theory of Measurement-Based Quantum Computation

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OriginalspracheEnglisch
Seiten (von - bis)1397
Seitenumfang1
FachzeitschriftQuantum
Jahrgang8
Frühes Online-Datum20 Juli 2022
PublikationsstatusVeröffentlicht - 4 Juli 2024

Abstract

Measurement-Based Quantum Computation (MBQC) is a model of quantum computation, which uses local measurements instead of unitary gates. Here we explain that the MBQC procedure has a fundamental basis in an underlying gauge theory. This perspective provides a theoretical foundation for global aspects of MBQC. The gauge transformations reflect the freedom of formulating the same MBQC computation in different local reference frames. The main identifications between MBQC and gauge theory concepts are: (i) the computational output of MBQC is a holonomy of the gauge field, (ii) the adaptation of measurement basis that remedies the inherent randomness of quantum measurements is effected by gauge transformations. The gauge theory of MBQC also plays a role in characterizing the entanglement structure of symmetry-protected topologically (SPT) ordered states, which are resources for MBQC. Our framework situates MBQC in a broader context of condensed matter and high energy theory.

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The Gauge Theory of Measurement-Based Quantum Computation. / Wong, Gabriel; Raussendorf, Robert; Czech, Bartłomiej.
in: Quantum, Jahrgang 8, 04.07.2024, S. 1397.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Wong G, Raussendorf R, Czech B. The Gauge Theory of Measurement-Based Quantum Computation. Quantum. 2024 Jul 4;8:1397. Epub 2022 Jul 20. doi: 10.22331/q-2024-07-04-1397, 10.48550/arXiv.2207.10098
Wong, Gabriel ; Raussendorf, Robert ; Czech, Bartłomiej. / The Gauge Theory of Measurement-Based Quantum Computation. in: Quantum. 2024 ; Jahrgang 8. S. 1397.
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