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arxiv: quant-ph/0411136 · v1 · submitted 2004-11-18 · 🪐 quant-ph

Notes on coarse grainings and functions of observables

classification 🪐 quant-ph
keywords observablecoarseconditionsanotherbooleandilationfunctionfunctions
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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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