期刊
JOURNAL OF MATHEMATICAL PHYSICS
卷 51, 期 9, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.3480658
关键词
algebra; Hilbert spaces; quantum theory
资金
- QUANTOP
- EU
- Danish research council (FNU)
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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