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복잡계 이론물리 연구단
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Braiding quantum gates from partition algebras

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Title
Braiding quantum gates from partition algebras
Author(s)
Pramod Padmanabhan; Fumihiko Sugino; Diego Trancanelli
Subject
YANG-BAXTER EQUATION, ; EXTRASPECIAL 2-GROUPS, ; REPRESENTATIONS
Publication Date
2020-08
Journal
Quantum, v.4, pp.311
Publisher
VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
Abstract
© 2020 Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften. Unitary braiding operators can be used as robust entangling quantum gates. We introduce a solution-generating technique to solve the (d, m, l)-generalized Yang-Baxter equation, for m/2 <= l <= m, which allows to systematically construct such braiding operators. This is achieved by using partition algebras, a generalization of the Temperley-Lieb algebra encountered in statistical mechanics. We obtain families of unitary and non-unitary braiding operators that generate the full braid group. Explicit examples are given for a 2-, 3-, and 4-qubit system, including the classification of the entangled states generated by these operators based on Stochastic Local Operations and Classical Communication
URI
https://pr.ibs.re.kr/handle/8788114/7691
DOI
10.22331/q-2020-08-27-311
ISSN
2521-327X
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
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