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Strength of interaction for information distribution and generalized Wigner-Araki-Yanase theorem

Takayuki Miyadera, Hideki Imai

IEEE International Symposium on Information Theory (ISIT)Nov 28, 20060 citations

A Generalization of Wigner's Theorem

Kan He, Hou Jin-chuan

数学物理学报：A辑Jan 1, 20110 citations

Alternative formulation of the Wigner-Araki-Yanase theorem

Kiyotaka Kakazu, Saverio Pascazio

We study the Wigner-Araki-Yanase theorem by utilizing a slightly modified version of a formulation recently proposed by Ozawa [Phys. Rev. Lett. 67, 1950 (1991)]. After characterizing the quantities that are conserved in the evolution of the total system (object plus apparatus), we suitably decompose the Hamiltonian and show that the Wigner-Araki-Yanase theorem can be formulated in terms of the conserved quantities of the object system and of some observables of the apparatus. A few examples clarify our general arguments.We study the Wigner-Araki-Yanase theorem by utilizing a slightly modified version of a formulation recently proposed by Ozawa [Phys. Rev. Lett. 67, 1950 (1991)]. After characterizing the quantities that are conserved in the evolution of the total system (object plus apparatus), we suitably decompose the Hamiltonian and show that the Wigner-Araki-Yanase theorem can be formulated in terms of the conserved quantities of the object system and of some observables of the apparatus. A few examples clarify our general arguments.

Physical Review AMay 1, 19958 citations

Generalized states and measuring processes for continuous observables

Shuichi Matsumoto, 修一松本

An extension of the concept of physical state is introduced. It is shown that if we accept all the "generalized states" as initial states of an apparatus, then we can circumvent the Ozawa's theorem which rules out the existence of repeatable measuring processes for continuous observables. A generalization of the Wigner-Araki- Yanase theorem is argued.

Feb 25, 19930 citations

Wigner's theorem and its generalizations

Georges Chevalier

Elsevier eBooksJan 1, 200746 citations

Uncertainty beyond the Uncertainty Principle

Charles Day

According to a new extension to an old theory, a particle's position cannot be measured precisely even if its momentum is not measured simultaneously.By Charles Day H eisenberg's uncertainty principle limits the precision with which two observables that do not commute with each other can be simultaneously measured.The Wigner-Araki-Yanase (WAY) theorem goes further.If observables A and B do not commute, and if observable A is conserved, observable B cannot be measured with arbitrary precision even if A is not measured at all.In its original 1960 formulation, the WAY theorem applied only to observables, such as spin, whose possible values are discrete and bounded.Now Yui Kuramochi of Kyushu University and Hiroyasu Tajima of the University of Electro-Communications-both in Japan-have proven that the WAY theorem also encompasses observables, such as position, that are continuous and unbounded [1].Besides resolving the decades-long problem of how to deal with such observables, the extension will likely find practical applications in quantum optics.The difficulty of extending the WAY theorem arose from how anAccording to a new extension to an old theory, a particle's position cannot be measured precisely even if its momentum is not measured simultaneously.By Charles Day H eisenberg's uncertainty principle limits the precision with which two observables that do not commute with each other can be simultaneously measured.The Wigner-Araki-Yanase (WAY) theorem goes further.If observables A and B do not commute, and if observable A is conserved, observable B cannot be measured with arbitrary precision even if A is not measured at all.In its original 1960 formulation, the WAY theorem applied only to observables, such as spin, whose possible values are discrete and bounded.Now Yui Kuramochi of Kyushu University and Hiroyasu Tajima of the University of Electro-Communications-both in Japan-have proven that the WAY theorem also encompasses observables, such as position, that are continuous and unbounded [1].Besides resolving the decades-long problem of how to deal with such observables, the extension will likely find practical applications in quantum optics.The difficulty of extending the WAY theorem arose from how an

PhysicsNov 21, 20230 citations

Extension of the Wigner-Araki-Yanase theorem in Ozawa's formulation

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Extension of the Wigner-Araki-Yanase theorem in Ozawa's formulation

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