dorsal/arxiv
View SchemaQuantum pure-state identification
| Authors | A. Hayashi, M. Horibe, T. Hashimoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507237 |
| URL | https://arxiv.org/abs/quant-ph/0507237 |
| DOI | 10.1103/PhysRevA.72.052306 |
| Journal | Phys. Rev. A 72, 052306 (2005) |
Abstract
We address a problem of identifying a given pure state with one of two reference pure states, when no classical knowledge on the reference states is given, but a certain number of copies of them are available. We assume the input state is guaranteed to be either one of the two reference states. This problem, which we call quantum pure state identification, is a natural generalization of the standard state discrimination problem. The two reference states are assumed to be independently distributed in a unitary invariant way in the whole state space. We give a complete solution for the averaged maximal success probability of this problem for an arbitrary number of copies of the reference states in general dimension. It is explicitly shown that the obtained mean identification probability approaches the mean discrimination probability as the number of the reference copies goes to infinity.
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"abstract": "We address a problem of identifying a given pure state with one of two\nreference pure states, when no classical knowledge on the reference states is\ngiven, but a certain number of copies of them are available. We assume the\ninput state is guaranteed to be either one of the two reference states. This\nproblem, which we call quantum pure state identification, is a natural\ngeneralization of the standard state discrimination problem. The two reference\nstates are assumed to be independently distributed in a unitary invariant way\nin the whole state space. We give a complete solution for the averaged maximal\nsuccess probability of this problem for an arbitrary number of copies of the\nreference states in general dimension. It is explicitly shown that the obtained\nmean identification probability approaches the mean discrimination probability\nas the number of the reference copies goes to infinity.",
"arxiv_id": "quant-ph/0507237",
"authors": [
"A. Hayashi",
"M. Horibe",
"T. Hashimoto"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.052306",
"journal_ref": "Phys. Rev. A 72, 052306 (2005)",
"title": "Quantum pure-state identification",
"url": "https://arxiv.org/abs/quant-ph/0507237"
},
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