Maximally incompatible quantum observables

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Authors	HEINOSAARI Teiko SCHULTZ Jussi TOIGO Alessandro ZIMAN Mário
Year of publication	2014
Type	Article in Periodical
Magazine / Source	Physics Letters A
MU Faculty or unit	Faculty of Informatics
Citation
Web	http://dx.doi.org/10.1016/j.physleta.2014.04.026
Doi	http://dx.doi.org/10.1016/j.physleta.2014.04.026
Field	Theoretical physics
Keywords	quantum incompatibility - quantum cloning - quantum measurements
Description	The existence of maximally incompatible quantum observables in the sense of a minimal joint measurability region is investigated. Employing the universal quantum cloning device it is argued that only infinite dimensional quantum systems can accommodate maximal incompatibility. It is then shown that two of the most common pairs of complementary observables (position and momentum; number and phase) are maximally incompatible.
Related projects:	Weak sources of entanglement and randomness