Notes on Joint Measurability of Quantum Observables

Details Notes on Joint Measurability of Quantum Observables Notes on Joint Measurability of Quantum Observables

2008-11-05

arxiv.org/abs/0811.0783v2

Foundations of Physics (2008) 38: 1133-1147

Physics

Quantum Physics

published version, some minor corrections

Scientific paper

10.1007/s10701-008-9256-7

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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