|
| related topics |
| {alice, bob, state} |
| {states, state, optimal} |
| {photon, photons, single} |
| {cos, sin, state} |
| {key, protocol, security} |
| {error, code, errors} |
| {measurement, state, measurements} |
|
Unambiguous discrimination of special sets of multipartite states using
local measurements and classical communication
Jihane Mimih, Mark Hillery
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0501174
- categories:
- quant-ph
- doi:
- 10.1103/PhysRevA.71.012329
- arxiv_id:
- quant-ph/0501174
- journal_ref:
- Physical Review A 71, 012329 (2005)
- created:
- 2005-01-28
Full article ▸
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