Braiding operators corresponding to the third Reidemeister move in the theory of knots and links are realized in terms of parametrized unitary matrices for all dimensions. Two distinct classes are considered. Their (non-local) unitary actions on separable pure product states of three identical subsystems (say, the spin projections of three... Show more

November 4, 2009

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Unitary Braid Matrices: Bridge between Topological and Quantum Entanglements

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