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- W1569360860 abstract "We show that there exist sets of three mutually orthogonal $d$-dimensional maximally entangled states which cannot be perfectly distinguished using one-way local operations and classical communication (LOCC) for arbitrarily large values of $d$. This contrasts with several well-known families of maximally entangled states, for which any three states can be perfectly distinguished. We then show that two-way LOCC is sufficient to distinguish these examples. We also show that any three mutually orthogonal $d$-dimensional maximally entangled states can be perfectly distinguished using measurements with a positive partial transpose (PPT) and can be distinguished with one-way LOCC with high probability. These results circle around the question of whether there exist three maximally entangled states which cannot be distinguished using the full power of LOCC; we discuss possible approaches to answer this question." @default.
- W1569360860 created "2016-06-24" @default.
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- W1569360860 date "2013-12-12" @default.
- W1569360860 modified "2023-10-16" @default.
- W1569360860 title "Three maximally entangled states can require two-way local operations and classical communication for local discrimination" @default.
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- W1569360860 doi "https://doi.org/10.1103/physreva.88.062316" @default.
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