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

Details On local indistinguishability of orthogonal pure states by using a bound on distillable entanglement On local indistinguishability of orthogonal pure states by using a bound on distillable entanglement

2001-11-25

arxiv.org/abs/quant-ph/0111136v1

Physics

Quantum Physics

6 pages latex, no figures

Scientific paper

10.1103/PhysRevA.65.062307

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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