Monday, February 11, 2013

1302.2074 (Ole Andersson et al.)

Geometric uncertainty relation for mixed quantum states    [PDF]

Ole Andersson, Hoshang Heydari
The phase space of a unitarily evolving quantum system in a mixed state consists of isospectral density operators. In this paper we equip the spaces of isospectral density operators with natural Riemannian and symplectic structures, and we derive a geometric uncertainty relation for observables acting on systems in mixed states. Moreover, we give a geometric proof of the Robertson-Schr\"{o}dinger uncertainty relation, and we compare the two uncertainty relations.
View original: http://arxiv.org/abs/1302.2074

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