Local indistinguishability of orthogonal pure states by using a bound on distillable entanglement

Ghosh, Sibasish ; Kar, Guruprasad ; Roy, Anirban ; Sarkar, Debasis ; Sen(De), Aditi ; Sen, Ujjwal (2002) Local indistinguishability of orthogonal pure states by using a bound on distillable entanglement Physical Review A, 65 (6).

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Official URL: https://doi.org/10.1103%2Fphysreva.65.062307

Abstract

We show that the four states a|00>+b|11>, b^*|00>-a^*|11>, c|01>+d|10> and d^*|01>-c^*|10> cannot be discriminated with certainty if only local operations and classical communication (LOCC) are allowed and if only a single copy is provided, except in the case when they are simply |00>, |11>, |01> and |10> (in which case they are trivially distinguishable with LOCC). We go on to show that there exists a continuous range of values of a, b, c and d such that even three states among the above four are not locally distinguishable, if only a single copy is provided. The proof follows from the fact that logarithmic negativity is an upper bound of distillable entanglement.

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Deposited On:13 Oct 2022 04:01
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