Optimum detection for extracting maximum information from symmetric qubit sets

Details Optimum detection for extracting maximum information from symmetric qubit sets Optimum detection for extracting maximum information from symmetric qubit sets

2001-06-29

arxiv.org/abs/quant-ph/0106164v2

PHYSICAL REVIEW A, VOLUME 65, 012315 (2001)

Physics

Quantum Physics

10 pages, 11 figures, to be submitted to Phys. Rev. A Converted to REVTeX4 format, and a few other minor modifications accordi

Scientific paper

10.1103/PhysRevA.65.012315

We demonstrate a class of optimum detection strategies for extracting the maximum information from sets of equiprobable real symmetric qubit states of a single photon. These optimum strategies have been predicted by Sasaki et al. [Phys. Rev. A{\bf 59}, 3325 (1999)]. The peculiar aspect is that the detections with at least three outputs suffice for optimum extraction of information regardless of the number of signal elements. The cases of ternary (or trine), quinary, and septenary polarization signals are studied where a standard von Neumann detection (a projection onto a binary orthogonal basis) fails to access the maximum information. Our experiments demonstrate that it is possible with present technologies to attain about 96% of the theoretical limit.

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