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QUANTUM ENTANGLEMENT, SUPERSYMMETRY, AND THE GENERALIZED YANG-BAXTER EQUATION

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Title
QUANTUM ENTANGLEMENT, SUPERSYMMETRY, AND THE GENERALIZED YANG-BAXTER EQUATION
Author(s)
PRAMOD PADMANABHAN; FUMIHIKO SUGINO; DIEGO TRANCANELLI
Publication Date
2020-02
Journal
QUANTUM INFORMATION & COMPUTATION, v.20, no.1-2, pp.37 - 64
Publisher
RINTON PRESS, INC
Abstract
Entangled states, such as the Bell and GHZ states, are generated from separable states using matrices known to satisfy the Yang-Baxter equation and its generalization. This remarkable fact hints at the possibility of using braiding operators as quantum entanglers, and is part of a larger speculated connection between topological and quantum entanglement. We push the analysis of this connection forward, by showing that super-symmetry algebras can be used to construct large families of solutions of the spectral parameter-dependent generalized Yang-Baxter equation. We present a number of explicit examples and outline a general algorithm for arbitrary numbers of qubits. The operators we obtain produce, in turn, all the entangled states in a multi-qubit system classified by the Stochastic Local Operations and Classical Communication protocol introduced in quantum information theory. c Rinton Press
URI
https://pr.ibs.re.kr/handle/8788114/7171
DOI
10.26421/QIC20.1-2
ISSN
1533-7146
Appears in Collections:
Center for Fundamental Theory(순수물리이론 연구단) > 1. Journal Papers (저널논문)
Center for Theoretical Physics of Complex Systems(복잡계 이론물리 연구단) > 1. Journal Papers (저널논문)
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