Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 51, Issue 9, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3480658
Keywords
algebra; Hilbert spaces; quantum theory
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Funding
- QUANTOP
- EU
- Danish research council (FNU)
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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. (C) 2010 American Institute of Physics. [doi:10.1063/1.3480658]
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