Entanglement and Berry phase in a 9× 9 Yang–Baxter system

Entanglement and Berry phase in a 9× 9 Yang–Baxter system A M-matrix which satisfies the Hecke algebraic relations is presented. Via the Yang–Baxterization approach, we obtain a unitary solution $${\breve{R}(\theta,\varphi_{1},\varphi_{2})}$$ of Yang–Baxter equation. It is shown that any pure two-qutrit entangled states can be generated via the universal $${\breve{R}}$$ -matrix assisted by local unitary transformations. A Hamiltonian is constructed from the $${\breve{R}}$$ -matrix, and Berry phase of the Yang–Baxter system is investigated. Specifically, for $${\varphi_{1}\,{=}\,\varphi_{2}}$$ , the Hamiltonian can be represented based on three sets of SU(2) operators, and three oscillator Hamiltonians can be obtained. Under this framework, the Berry phase can be interpreted. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

Entanglement and Berry phase in a 9× 9 Yang–Baxter system

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Springer US
Copyright © 2009 by Springer Science+Business Media, LLC
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
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