Nondisturbing quantum measurements

Teiko Heinosaari; Michael M. Wolf

doi:10.1063/1.3480658

Nondisturbing quantum measurements

Teiko Heinosaari
, Michael M. Wolf

Niels Bohr Institutet

Research output: Contribution to journal › Article › peer-review

71 Scopus citations

Abstract

We consider pairs of discrete quantum observables (POVMs) and analyze the relation between the notions of nondisturbance, 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.

Original language	English
Article number	092201
Journal	Journal of Mathematical Physics
Volume	51
Issue number	9
DOIs	https://doi.org/10.1063/1.3480658
State	Published - Sep 2010
Externally published	Yes

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Nondisturbing quantum measurements

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