dorsal/arxiv
View SchemaLocal indistinguishability: more nonlocality with less entanglement
| Authors | Michal Horodecki, Aditi Sen De, Ujjwal Sen, Karol Horodecki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0301106 |
| URL | https://arxiv.org/abs/quant-ph/0301106 |
| DOI | 10.1103/PhysRevLett.90.047902 |
| Journal | Phys. Rev. Lett. 90, 047902 (2003) |
Abstract
We provide a first operational method for checking indistinguishability of orthogonal states by local operations and classical communication (LOCC). This method originates from the one introduced by Ghosh et al. (Phys. Rev. Lett. 87, 5807 (2001) (quant-ph/0106148)), though we deal with pure states. We apply our method to show that an arbitrary complete multipartite orthogonal basis is indistinguishable by LOCC, if it contains at least one entangled state. We also show that probabilistic local distinguishing is possible for full basis if and only if all vectors are product. We employ our method to prove local indistinguishability in an example with sets of pure states of 3X3, which shows that one can have ``more nonlocality with less entanglement'', where ``more nonlocality'' is in the sense of ``increased local indistinguishability of orthogonal states''. This example also provides, to our knowledge, the only known example where d orthogonal states in dXd are locally indistinguishable.
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"abstract": "We provide a first operational method for checking indistinguishability of\northogonal states by local operations and classical communication (LOCC). This\nmethod originates from the one introduced by Ghosh et al. (Phys. Rev. Lett. 87,\n5807 (2001) (quant-ph/0106148)), though we deal with pure states. We apply our\nmethod to show that an arbitrary complete multipartite orthogonal basis is\nindistinguishable by LOCC, if it contains at least one entangled state. We also\nshow that probabilistic local distinguishing is possible for full basis if and\nonly if all vectors are product. We employ our method to prove local\nindistinguishability in an example with sets of pure states of 3X3, which shows\nthat one can have ``more nonlocality with less entanglement\u0027\u0027, where ``more\nnonlocality\u0027\u0027 is in the sense of ``increased local indistinguishability of\northogonal states\u0027\u0027. This example also provides, to our knowledge, the only\nknown example where d orthogonal states in dXd are locally indistinguishable.",
"arxiv_id": "quant-ph/0301106",
"authors": [
"Michal Horodecki",
"Aditi Sen De",
"Ujjwal Sen",
"Karol Horodecki"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.90.047902",
"journal_ref": "Phys. Rev. Lett. 90, 047902 (2003)",
"title": "Local indistinguishability: more nonlocality with less entanglement",
"url": "https://arxiv.org/abs/quant-ph/0301106"
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