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Solovay–Kitaev Approximations of Special Orthogonal Matrices
Joint Authors
Mahasinghe, Anuradha
Bandaranayake, Sachiththa
De Silva, Kaushika
Source
Advances in Mathematical Physics
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The circuit-gate framework of quantum computing relies on the fact that an arbitrary quantum gate in the form of a unitary matrix of unit determinant can be approximated to a desired accuracy by a fairly short sequence of basic gates, of which the exact bounds are provided by the Solovay–Kitaev theorem.
In this work, we show that a version of this theorem is applicable to orthogonal matrices with unit determinant as well, indicating the possibility of using orthogonal matrices for efficient computation.
We further develop a version of the Solovay–Kitaev algorithm and discuss the computational experience.
American Psychological Association (APA)
Mahasinghe, Anuradha& Bandaranayake, Sachiththa& De Silva, Kaushika. 2020. Solovay–Kitaev Approximations of Special Orthogonal Matrices. Advances in Mathematical Physics،Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1127326
Modern Language Association (MLA)
Mahasinghe, Anuradha…[et al.]. Solovay–Kitaev Approximations of Special Orthogonal Matrices. Advances in Mathematical Physics No. 2020 (2020), pp.1-7.
https://search.emarefa.net/detail/BIM-1127326
American Medical Association (AMA)
Mahasinghe, Anuradha& Bandaranayake, Sachiththa& De Silva, Kaushika. Solovay–Kitaev Approximations of Special Orthogonal Matrices. Advances in Mathematical Physics. 2020. Vol. 2020, no. 2020, pp.1-7.
https://search.emarefa.net/detail/BIM-1127326
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1127326