23 May 2005 Unambiguous discrimination of two nonorthogonal multipartite states using local measurements and classical communication (Invited Paper)
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Proceedings Volume 5842, Fluctuations and Noise in Photonics and Quantum Optics III; (2005) https://doi.org/10.1117/12.609114
Event: SPIE Third International Symposium on Fluctuations and Noise, 2005, Austin, Texas, United States
Abstract
We consider a quantum system of two nonorthogonal bipartite quantum states. We distribute the qubits between two parties, Alice and Bob. They each measure their qubits 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 for one of the qubits to be stored until the result of the measurement on the other is known. We consider the cases in which, should a failure occur, both parties receive a failure signal or only one does. In the latter case, if the two states share the same Schmidt basis, the states can be discriminated with the same failure probability as would be obtained if the 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.
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Jihane Mimih, Mark Hillery, "Unambiguous discrimination of two nonorthogonal multipartite states using local measurements and classical communication (Invited Paper)", Proc. SPIE 5842, Fluctuations and Noise in Photonics and Quantum Optics III, (23 May 2005); doi: 10.1117/12.609114; https://doi.org/10.1117/12.609114
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