The geometric measure of entanglement for a symmetric pure state with non-negative amplitudes
نویسندگان
چکیده
Articles you may be interested in Geometric descriptions of entangled states by auxiliary varieties Two-sided bounds on minimum-error quantum measurement, on the reversibility of quantum dynamics, and on maximum overlap using directional iterates In this paper for a class of symmetric multiparty pure states, we consider a conjecture related to the geometric measure of entanglement: " for a symmetric pure state, the closest product state in terms of the fidelity can be chosen as a symmetric product state. " We show that this conjecture is true for symmetric pure states whose amplitudes are all non-negative in a computational basis. The more general conjecture is still open.
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