Communication of Spin Directions with Product States and Finite Measurements

Details Communication of Spin Directions with Product States and Finite Measurements Communication of Spin Directions with Product States and Finite Measurements

2000-12-11

arxiv.org/abs/quant-ph/0012045v2

Phys. Rev. A64, 022305 (2001)

Physics

Quantum Physics

4 pages, minor changes, version to appear in PRA

Scientific paper

10.1103/PhysRevA.64.022305

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 behaviour 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.

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