dorsal/arxiv
View SchemaUnambiguous discrimination of special sets of multipartite states using local measurements and classical communication
| Authors | Jihane Mimih, Mark Hillery |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0501174 |
| URL | https://arxiv.org/abs/quant-ph/0501174 |
| DOI | 10.1103/PhysRevA.71.012329 |
| Journal | Physical Review A 71, 012329 (2005) |
Abstract
We initially consider a quantum system consisting of two qubits, which can be in one of two nonorthogonal states, \Psi_0 or \Psi_1. We distribute the qubits to two parties, Alice and Bob. They each measure their qubit and then compare their measurement results to determine which state they were sent. This procedure is error-free, which implies that it must sometimes fail. In addition, no quantum memory is required; it is not necessary to store one of the qubits until the result of the measurement on the other is known. We consider the cases in which, should failure occur, both parties receive a failure signal or only one does. In the latter case, if the states share the same Schmidt basis, the states can be discriminated with the same failure probability as would be obtained if the two qubits were measured together. This scheme is sufficiently simple that it can be generalized to multipartite qubit and qudit states. Applications to quantum secret sharing are discussed. Finally, we present an optical scheme to experimenatlly realize the protocol in the case of two qubits.
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"abstract": "We initially consider a quantum system consisting of two qubits, which can be\nin one of two nonorthogonal states, \\Psi_0 or \\Psi_1. We distribute the qubits\nto two parties, Alice and Bob. They each measure their qubit and then compare\ntheir measurement results to determine which state they were sent. This\nprocedure is error-free, which implies that it must sometimes fail. In\naddition, no quantum memory is required; it is not necessary to store one of\nthe qubits until the result of the measurement on the other is known. We\nconsider the cases in which, should failure occur, both parties receive a\nfailure signal or only one does. In the latter case, if the states share the\nsame Schmidt basis, the states can be discriminated with the same failure\nprobability as would be obtained if the two qubits were measured together. This\nscheme is sufficiently simple that it can be generalized to multipartite qubit\nand qudit states. Applications to quantum secret sharing are discussed.\nFinally, we present an optical scheme to experimenatlly realize the protocol in\nthe case of two qubits.",
"arxiv_id": "quant-ph/0501174",
"authors": [
"Jihane Mimih",
"Mark Hillery"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.012329",
"journal_ref": "Physical Review A 71, 012329 (2005)",
"title": "Unambiguous discrimination of special sets of multipartite states using local measurements and classical communication",
"url": "https://arxiv.org/abs/quant-ph/0501174"
},
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