dorsal/arxiv
View SchemaOn local indistinguishability of orthogonal pure states by using a bound on distillable entanglement
| Authors | Sibasish Ghosh, Guruprasad Kar, Anirban Roy, Debasis Sarkar, Aditi Sen De, Ujjwal Sen |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0111136 |
| URL | https://arxiv.org/abs/quant-ph/0111136 |
| DOI | 10.1103/PhysRevA.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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"abstract": "We show that the four states a|00\u003e+b|11\u003e, b^*|00\u003e-a^*|11\u003e, c|01\u003e+d|10\u003e and\nd^*|01\u003e-c^*|10\u003e cannot be discriminated with certainty if only local operations\nand classical communication (LOCC) are allowed and if only a single copy is\nprovided, except in the case when they are simply |00\u003e, |11\u003e, |01\u003e and |10\u003e (in\nwhich case they are trivially distinguishable with LOCC). We go on to show that\nthere exists a continuous range of values of a, b, c and d such that even three\nstates among the above four are not locally distinguishable, if only a single\ncopy is provided. The proof follows from the fact that logarithmic negativity\nis an upper bound of distillable entanglement.",
"arxiv_id": "quant-ph/0111136",
"authors": [
"Sibasish Ghosh",
"Guruprasad Kar",
"Anirban Roy",
"Debasis Sarkar",
"Aditi Sen De",
"Ujjwal Sen"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.65.062307",
"title": "On local indistinguishability of orthogonal pure states by using a bound on distillable entanglement",
"url": "https://arxiv.org/abs/quant-ph/0111136"
},
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