We prove the existence of a universal Markov kernel, i.e., a Markov kernel $mu$ such that every commutative POVM $F$ is the smearing of a self-adjoint operator $A^F$ with the smearing realized through $mu$. The relevance of the smearing is illustrated in connection with the problem of the joint measurability of two quantum observables. Also the connections with phase space quantum mechanics is outlined.

Universal Markov Kernel for Quantum Observables

Roberto Beneduci
2019

Abstract

We prove the existence of a universal Markov kernel, i.e., a Markov kernel $mu$ such that every commutative POVM $F$ is the smearing of a self-adjoint operator $A^F$ with the smearing realized through $mu$. The relevance of the smearing is illustrated in connection with the problem of the joint measurability of two quantum observables. Also the connections with phase space quantum mechanics is outlined.
978-3-030-01155-0
Positive operator Valued measures, Markov Kernels, Quantum Observables, Smearing
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/288832
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