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• W2010214996 abstract "We exhibit a two-parameter family of bipartite mixed states $rho_{bc}$, in a $dotimes d$ Hilbert space, which are negative under partial transposition (NPT), but for which we conjecture that no maximally entangled pure states in $2otimes 2$ can be distilled by local quantum operations and classical communication (LQ+CC). Evidence for this undistillability is provided by the result that, for certain states in this family, we cannot extract entanglement from any arbitrarily large number of copies of $rho_{bc}$ using a projection on $2otimes 2$. These states are canonical NPT states in the sense that any bipartite mixed state in any dimension with NPT can be reduced by LQ+CC operations to an NPT state of the $rho_{bc}$ form. We show that the main question about the distillability of mixed states can be formulated as an open mathematical question about the properties of composed positive linear maps." @default.
• W2010214996 created "2016-06-24" @default.
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• W2010214996 date "2000-05-17" @default.
• W2010214996 modified "2023-10-02" @default.
• W2010214996 title "Evidence for bound entangled states with negative partial transpose" @default.
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• W2010214996 doi "https://doi.org/10.1103/physreva.61.062312" @default.
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