Sequential product on standard effect algebra

A quantum effect is an operator A on a complex Hilbert space H that satisfies is the set of all quantum effects on H. In 2001, Professors Gudder and Nagy studied the sequential product for. In 2005, Professor Gudder asked: Is the only sequential product on ? Recently, Liu and Wu have presented an ex...

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Published inJournal of physics. A, Mathematical and theoretical Vol. 42; no. 34; pp. 345203 - 345203 (12)
Main Authors Jun, Shen, Junde, Wu
Format Journal Article
LanguageEnglish
Published IOP Publishing 28.08.2009
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Abstract A quantum effect is an operator A on a complex Hilbert space H that satisfies is the set of all quantum effects on H. In 2001, Professors Gudder and Nagy studied the sequential product for. In 2005, Professor Gudder asked: Is the only sequential product on ? Recently, Liu and Wu have presented an example to show that the answer is negative. In this paper, first, we characterize some algebraic properties of the abstract sequential product on, second, we present a general method for constructing sequential products on and, finally, we study some properties of the sequential products constructed by the method.
AbstractList A quantum effect is an operator A on a complex Hilbert space H that satisfies is the set of all quantum effects on H. In 2001, Professors Gudder and Nagy studied the sequential product for. In 2005, Professor Gudder asked: Is the only sequential product on ? Recently, Liu and Wu have presented an example to show that the answer is negative. In this paper, first, we characterize some algebraic properties of the abstract sequential product on, second, we present a general method for constructing sequential products on and, finally, we study some properties of the sequential products constructed by the method.
Author Junde, Wu
Jun, Shen
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Cites_doi 10.1007/BF02283036
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10.1016/j.physleta.2009.02.073
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10.1215/S0012-7094-53-02025-0
10.1090/S0002-9939-03-07063-1
10.1088/1751-8113/42/18/185206
10.1016/S0034-4877(02)80007-6
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Snippet A quantum effect is an operator A on a complex Hilbert space H that satisfies is the set of all quantum effects on H. In 2001, Professors Gudder and Nagy...
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Title Sequential product on standard effect algebra
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