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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. |
URI: | http://scitation.aip.org/content/aip/journal/jmp/50/12/10.1063/1.3271041 http://bura.brunel.ac.uk/handle/2438/8962 |
DOI: | http://dx.doi.org/10.1063/1.3271041 |
ISSN: | 0022-2488 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
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