Notes on coarse grainings and functions of observables

Details Notes on coarse grainings and functions of observables Notes on coarse grainings and functions of observables

2004-11-18

arxiv.org/abs/quant-ph/0411136v1

Physics

Quantum Physics

Scientific paper

10.1016/S0034-4877(05)80030-8

Using the Naimark dilation theory we investigate the question under what
conditions an observable which is a coarse graining of another observable is a
function of it. To this end, conditions for the separability and for the
Boolean structure of an observable are given.

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