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arXiv · 0704.0709

Braiding transformation, entanglement swapping and Berry phase in entanglement space

Jing-Ling Chen·Kang Xue·Mo-Lin Ge
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Abstract

We show that braiding transformation is a natural approach to describe quantum entanglement, by using the unitary braiding operators to realize entanglement swapping and generate the GHZ states as well as the linear cluster states. A Hamiltonian is constructed from the unitary $\check{R}_{i,i+1}(θ,ϕ)$-matrix, where $ϕ=ωt$ is time-dependent while $θ$ is time-independent. This in turn allows us to investigate the Berry phase in the entanglement space.

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Jing-Ling Chen, Kang Xue, Mo-Lin Ge. 2007-10-26. Braiding transformation, entanglement swapping and Berry phase in entanglement space. https://doi.org/10.1103/physreva.76.042324

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