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Title: The geometric measure of entanglement for a symmetric pure state with non-negative amplitudes
Authors: Hayashi, M
Markham, D
Murao, M
Owari, M
Virmani, S
Keywords: Geometric measure of entanglement;Pure states;Symmetric pure state;Non-negative amplitudes
Issue Date: 2009
Publisher: American Institute of Physics
Citation: Journal of Mathematical Physics, 50(12): Article no. 122104, 2009
Abstract: 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.
Description: Copyright @ 2009 American Institute of Physics.
ISSN: 0022-2488
Appears in Collections:Dept of Mathematics Research Papers
Mathematical Sciences

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