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arXiv · 1312.3499

Maximally incompatible quantum observables

Teiko Heinosaari·Jussi Schultz·Alessandro Toigo·Mario Ziman
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Abstract

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.

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Teiko Heinosaari, Jussi Schultz, Alessandro Toigo, Mario Ziman. 2013-12-12. Maximally incompatible quantum observables. https://doi.org/10.1016/j.physleta.2014.04.026

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