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• W2023531040 abstract "We introduce a sufficient and necessary condition for the separability of a specific class of $N$ $d$-dimensional system (qudits) states, namely special generalized Werner state (SGWS): $W^{[d^N]}(v)=(1-v)frac{I^{(N)}}{d^N}+v|psi _d^N><psi_d^N|$, where $ |psi_d^N>=sum_{i=0}^{d-1}alpha_i|i... i>$ is an entangled pure state of $N$ qudits system and $alpha_i$ satisfys two restrictions: (i) $sum_{i=0}^{d-1}alpha_ialpha_i^*=1$; (ii) Matrix $frac{1}{d}(I^{(1)}+mathcal{T}sum_{ineq j}alpha_i|i>< j|alpha_j^*)$, where $mathcal{T}=texttt{Min}_{ineq j}{1/|alpha_ialpha_j|}$, is a density matrix. Our condition gives quite a simple and efficiently computable way to judge whether a given SGWS is separable or not and previously known separable conditions are shown to be special cases of our approach." @default.
• W2023531040 created "2016-06-24" @default.
• W2023531040 creator A5003106501 @default.
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• W2023531040 date "2009-02-01" @default.
• W2023531040 modified "2023-10-16" @default.
• W2023531040 title "Sufficient and necessary condition of separability for generalized Werner states" @default.
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• W2023531040 doi "https://doi.org/10.1016/j.aop.2008.12.006" @default.
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