dorsal/arxiv
View SchemaWigner-Araki-Yanase theorem on Distinguishability
| Authors | Takayuki Miyadera, Hideki Imai |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0605213 |
| URL | https://arxiv.org/abs/quant-ph/0605213 |
| DOI | 10.1103/PhysRevA.74.024101 |
| Journal | Phys.Rev.A 74, 024101 (2006) |
Abstract
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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"abstract": "The presence of an additive conserved quantity imposes a limitation on the\nmeasurement process. According to the Wigner-Araki-Yanase theorem, the perfect\nrepeatability and the distinguishability on the apparatus cannot be attained\nsimultaneously. Instead of the repeatability, in this paper, the\ndistinguishability on both systems is examined. We derive a trade-off\ninequality between the distinguishability of the final states on the system and\nthe one on the apparatus. The inequality shows that the perfect\ndistinguishability of both systems cannot be attained simultaneously.",
"arxiv_id": "quant-ph/0605213",
"authors": [
"Takayuki Miyadera",
"Hideki Imai"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.74.024101",
"journal_ref": "Phys.Rev.A 74, 024101 (2006)",
"title": "Wigner-Araki-Yanase theorem on Distinguishability",
"url": "https://arxiv.org/abs/quant-ph/0605213"
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