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Notes on Joint Measurability of Quantum Observables
Tekijät: Heinosaari T, Reitzner D, Stano P
Kustantaja: SPRINGER
Julkaisuvuosi: 2008
Lehti:Foundations of Physics
Tietokannassa oleva lehden nimiFOUNDATIONS OF PHYSICS
Lehden akronyymi: FOUND PHYS
Vuosikerta: 38
Numero: 12
Aloitussivu: 1133
Lopetussivu: 1147
Sivujen määrä: 15
ISSN: 0015-9018
DOI: https://doi.org/10.1007/s10701-008-9256-7
Tiivistelmä
For sharp quantum observables the following facts hold: (i) if we have a collection of sharp observables and each pair of them is jointly measurable, then they are jointly measurable all together; (ii) if two sharp observables are jointly measurable, then their joint observable is unique and it gives the greatest lower bound for the effects corresponding to the observables; (iii) if we have two sharp observables and their every possible two outcome partitionings are jointly measurable, then the observables themselves are jointly measurable. We show that, in general, these properties do not hold. Also some possible candidates which would accompany joint measurability and generalize these apparently useful properties are discussed.
For sharp quantum observables the following facts hold: (i) if we have a collection of sharp observables and each pair of them is jointly measurable, then they are jointly measurable all together; (ii) if two sharp observables are jointly measurable, then their joint observable is unique and it gives the greatest lower bound for the effects corresponding to the observables; (iii) if we have two sharp observables and their every possible two outcome partitionings are jointly measurable, then the observables themselves are jointly measurable. We show that, in general, these properties do not hold. Also some possible candidates which would accompany joint measurability and generalize these apparently useful properties are discussed.
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