Non-disturbing quantum measurements

Details Non-disturbing quantum measurements Non-disturbing quantum measurements

2010-05-31

arxiv.org/abs/1005.5659v2

J. Math. Phys. 51, 092201 (2010)

Physics

Quantum Physics

Minor corrections in v2

Scientific paper

10.1063/1.3480658

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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