On local indistinguishability of orthogonal pure states by using a bound on distillable entanglement
Quantum Physics
2009-11-07 v1
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.
Keywords
Cite
@article{arxiv.quant-ph/0111136,
title = {On local indistinguishability of orthogonal pure states by using a bound on distillable entanglement},
author = {Sibasish Ghosh and Guruprasad Kar and Anirban Roy and Debasis Sarkar and Aditi Sen De and Ujjwal Sen},
journal= {arXiv preprint arXiv:quant-ph/0111136},
year = {2009}
}
Comments
6 pages latex, no figures