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Linear algebraic proof of Wigner theorem and its consequences

In: Mathematica Slovaca, vol. 67, no. 2
Jáchym Barvínek - Jan Hamhalter
Detaily:
Rok, strany: 2017, 371 - 386
Kľúčové slová:
Jordan homomorphisms, Wigner theorem, relative quantum entropy
O článku:
We present new proof of non-bijective Wigner theorem on symmetries of quantum systems using only basic linear algebra. It is based on showing that any non-zero Jordan $*$-homomorphism between matrix algebras preserving rank-one projections is implemented by either a unitary or an anitiunitary map. As a new application we extend hitherto known results on preservers of quantum relative entropy to infinite quantum systems.
Ako citovať:
ISO 690:
Barvínek, J., Hamhalter, J. 2017. Linear algebraic proof of Wigner theorem and its consequences. In Mathematica Slovaca, vol. 67, no.2, pp. 371-386. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0273

APA:
Barvínek, J., Hamhalter, J. (2017). Linear algebraic proof of Wigner theorem and its consequences. Mathematica Slovaca, 67(2), 371-386. 0139-9918. DOI: https://doi.org/10.1515/ms-2016-0273
O vydaní:
Publikované: 25. 4. 2017