Nondisturbing quantum measurements

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3480658· OSTI ID:21476487

Heinosaari, Teiko; Wolf, Michael M ^[1]

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1. Niels Bohr Institute, Blegdamsvej 17, 2100 Copenhagen (Denmark)

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.

• OSTI ID: 21476487
• Journal Information: Journal of Mathematical Physics, Vol. 51, Issue 9; Other Information: DOI: 10.1063/1.3480658; (c) 2010 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ALGEBRA
COMMUTATION RELATIONS
DISTURBANCES
HILBERT SPACE
QUANTIZATION
QUANTUM MECHANICS
QUANTUM OPERATORS
SYMMETRY
BANACH SPACE
MATHEMATICAL OPERATORS
MATHEMATICAL SPACE
MATHEMATICS
MECHANICS
SPACE