Wigner-Araki-Yanase theorem on Distinguishability

Details Wigner-Araki-Yanase theorem on Distinguishability Wigner-Araki-Yanase theorem on Distinguishability

2006-05-24

arxiv.org/abs/quant-ph/0605213v2

Phys.Rev.A 74, 024101 (2006)

Physics

Quantum Physics

To be published in Phys.Rev.A

Scientific paper

10.1103/PhysRevA.74.024101

The presence of an additive conserved quantity imposes a limitation on the measurement process. According to the Wigner-Araki-Yanase theorem, the perfect repeatability and the distinguishability on the apparatus cannot be attained simultaneously. Instead of the repeatability, in this paper, the distinguishability on both systems is examined. We derive a trade-off inequality between the distinguishability of the final states on the system and the one on the apparatus. The inequality shows that the perfect distinguishability of both systems cannot be attained simultaneously.

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