Details
Originalsprache | Englisch |
---|---|
Seiten (von - bis) | 1397 |
Seitenumfang | 1 |
Fachzeitschrift | Quantum |
Jahrgang | 8 |
Frühes Online-Datum | 20 Juli 2022 |
Publikationsstatus | Veröffentlicht - 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.
ASJC Scopus Sachgebiete
- Physik und Astronomie (insg.)
- Atom- und Molekularphysik sowie Optik
- Physik und Astronomie (insg.)
- Physik und Astronomie (sonstige)
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in: Quantum, Jahrgang 8, 04.07.2024, S. 1397.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - The Gauge Theory of Measurement-Based Quantum Computation
AU - Wong, Gabriel
AU - Raussendorf, Robert
AU - Czech, Bartłomiej
N1 - Publisher Copyright: © 2024 Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften. All rights reserved.
PY - 2024/7/4
Y1 - 2024/7/4
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85199279490&partnerID=8YFLogxK
U2 - 10.22331/q-2024-07-04-1397
DO - 10.22331/q-2024-07-04-1397
M3 - Article
AN - SCOPUS:85199279490
VL - 8
SP - 1397
JO - Quantum
JF - Quantum
SN - 2521-327X
ER -