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Wigner-Araki-Yanase theorem beyond conservation laws
Tekijät: Tukiainen M
Kustantaja: AMER PHYSICAL SOC
Julkaisuvuosi: 2017
Journal: Physical Review A
Tietokannassa oleva lehden nimi: PHYSICAL REVIEW A
Lehden akronyymi: PHYS REV A
Artikkelin numero: ARTN 012127
Vuosikerta: 95
Numero: 1
Sivujen määrä: 7
ISSN: 2469-9926
eISSN: 2469-9934
DOI: https://doi.org/10.1103/PhysRevA.95.012127
Verkko-osoite: https://journals.aps.org/pra/pdf/10.1103/PhysRevA.95.012127
Rinnakkaistallenteen osoite: https://research.utu.fi/converis/portal/detail/Publication/19033159
The ability to measure every quantum observable is ensured by a fundamental result in quantum measurement theory. Nevertheless, additive conservation laws associated with physical symmetries, such as the angular momentum conservation, may lead to restrictions on the measurability of the observables. Such limitations are imposed by the theorem of Wigner, Araki, and Yanase (WAY). In this paper a formulation of the WAY theorem is presented rephrasing the measurability limitations in terms of quantum incompatibility. This broader mathematical basis enables us to both capture and generalize the WAY theorem by allowing us to drop the assumptions of additivity and even conservation of the involved quantities. Moreover, we extend the WAY theorem to the general level of positive operator-valued measures.
Ladattava julkaisu This is an electronic reprint of the original article. |  |
