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Phys. Rev. A 64, 022305 (2001) [4 pages]

Communication of spin directions with product states and finite measurements

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E. Bagan, M. Baig, and R. Muñoz-Tapia
Grup de Física Teòrica and IFAE, Facultat de Ciències, Edifici Cn, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Spain

Received 9 January 2001; published 5 July 2001

Total spin eigenstates can be used to intrinsically encode a direction, which can later be decoded by means of a quantum measurement. We study the optimal strategy that can be adopted if, as is likely in practical applications, only product states of N spins are available. We obtain the asymptotic behavior of the average fidelity, which provides a proof that the optimal states must be entangled. We also give a prescription for constructing finite measurements for general encoding eigenstates.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.64.022305
DOI:
10.1103/PhysRevA.64.022305
PACS:
03.67.Hk, 03.65.Ta