Separability criterion for multipartite pure quantum states
نویسندگان
چکیده
Using the modified tensor product of graphs defined in [1], we present here a graphical criterion for the separability of m-partite pure quantum states living in a real or complex Hilbert space. The criterion gives both necessary and sufficient condition for the separability of such states. This criterion was first conjectured by S. L. Braunstein, S. Ghosh, T. Mansour, S. Severini, and R. C. Wilson [2]. We prove this conjecture for m-partite pure states and give a polynomial time algorithm to factorize an m-partite pure state. We close by showing that the conjecture fails, in general, for mixed states.
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Detection and Quantification of Entanglement in Multipartite Quantum Systems Using Weighted Graph and Bloch Representation of States
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