Geometric and holonomic quantum computation

Jiang Zhang; Thi Ha Kyaw; Stefan Filipp; Leong Chuan Kwek; Erik Sjöqvist; Dianmin Tong

doi:10.1016/j.physrep.2023.07.004

Geometric and holonomic quantum computation

Jiang Zhang
, Thi Ha Kyaw
, Stefan Filipp
, Leong Chuan Kwek
, Erik Sjöqvist
, Dianmin Tong

Chair of Technical Physics

Beijing Academy of Quantum Information Sciences
LG Electronics Toronto AI Lab
University of Toronto
Walther-Meissner-Institut
Munich Center for Quantum Science and Technology (MCQST)
Centre for Quantum Technologies
National University of Singapore
National Institute of Education
Nanyang Technological University
Uppsala University
Shandong University

Research output: Contribution to journal › Review article › peer-review

59 Scopus citations

Abstract

Geometric and holonomic quantum computation utilizes intrinsic geometric properties of quantum-mechanical state spaces to realize quantum logic gates. Since both geometric phases and quantum holonomies are global quantities depending only on the evolution paths of quantum systems, quantum gates based on them possess built-in resilience to certain kinds of errors. This review provides an introduction to the topic as well as gives an overview of the theoretical and experimental progress for constructing geometric and holonomic quantum gates and how to combine them with other error-resistant techniques.

Original language	English
Pages (from-to)	1-53
Number of pages	53
Journal	Physics Reports
Volume	1027
DOIs	https://doi.org/10.1016/j.physrep.2023.07.004
State	Published - 13 Jul 2023

Keywords

Geometric phase
Geometric quantum computation
Holonomic quantum computation
Quantum holonomy

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10.1016/j.physrep.2023.07.004

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abstract = "Geometric and holonomic quantum computation utilizes intrinsic geometric properties of quantum-mechanical state spaces to realize quantum logic gates. Since both geometric phases and quantum holonomies are global quantities depending only on the evolution paths of quantum systems, quantum gates based on them possess built-in resilience to certain kinds of errors. This review provides an introduction to the topic as well as gives an overview of the theoretical and experimental progress for constructing geometric and holonomic quantum gates and how to combine them with other error-resistant techniques.",

keywords = "Geometric phase, Geometric quantum computation, Holonomic quantum computation, Quantum holonomy",

author = "Jiang Zhang and Kyaw, \{Thi Ha\} and Stefan Filipp and Kwek, \{Leong Chuan\} and Erik Sj{\"o}qvist and Dianmin Tong",

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T1 - Geometric and holonomic quantum computation

AU - Zhang, Jiang

AU - Kyaw, Thi Ha

AU - Filipp, Stefan

AU - Kwek, Leong Chuan

AU - Sjöqvist, Erik

AU - Tong, Dianmin

PY - 2023/7/13

Y1 - 2023/7/13

N2 - Geometric and holonomic quantum computation utilizes intrinsic geometric properties of quantum-mechanical state spaces to realize quantum logic gates. Since both geometric phases and quantum holonomies are global quantities depending only on the evolution paths of quantum systems, quantum gates based on them possess built-in resilience to certain kinds of errors. This review provides an introduction to the topic as well as gives an overview of the theoretical and experimental progress for constructing geometric and holonomic quantum gates and how to combine them with other error-resistant techniques.

AB - Geometric and holonomic quantum computation utilizes intrinsic geometric properties of quantum-mechanical state spaces to realize quantum logic gates. Since both geometric phases and quantum holonomies are global quantities depending only on the evolution paths of quantum systems, quantum gates based on them possess built-in resilience to certain kinds of errors. This review provides an introduction to the topic as well as gives an overview of the theoretical and experimental progress for constructing geometric and holonomic quantum gates and how to combine them with other error-resistant techniques.

KW - Geometric phase

KW - Geometric quantum computation

KW - Holonomic quantum computation

KW - Quantum holonomy

UR - https://www.scopus.com/pages/publications/85166533863

U2 - 10.1016/j.physrep.2023.07.004

DO - 10.1016/j.physrep.2023.07.004

M3 - Review article

AN - SCOPUS:85166533863

SN - 0370-1573

VL - 1027

SP - 1

EP - 53

JO - Physics Reports

JF - Physics Reports

ER -

Geometric and holonomic quantum computation

Abstract

Keywords

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