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Topological Quantum Computing
Open Quantum Systems Decoherence
Braiding transformation, entanglement swapping and Berry phase in entanglement space
arXiv
Authors: Jing-Ling Chen, Kang Xue, Mo-Lin Ge
Year
2007
Paper ID
50647
Status
Preprint
Abstract Read
~2 min
Abstract Words
68
Citations
N/A
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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- We show that braiding transformation is a natural approach to describe quantum entanglement, by using the unitary braiding operators to realize entanglement swapping and...
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