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arXiv 2010-05-31 DOI 10.1063/1.3480658 0 views

Non-disturbing quantum measurements

Heinosaari, Teiko · Wolf, Michael M.

Original · EN

We consider pairs of quantum observables (POVMs) and analyze the relation between the notions of non-disturbance, joint measurability and commutativity. We specify conditions under which these properties coincide or differ---depending for instance on the interplay between the number of outcomes and the Hilbert space dimension or on algebraic properties of the effect operators. We also show that (non-)disturbance is in general not a symmetric relation and that it can be decided and quantified by means of a semidefinite program.

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