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
2019-01-01
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.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
