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arXiv · 0910.3473

Purity and Gaussianity bounded uncertainty relation

A. Mandilara·E. Karpov·N. J. Cerf
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Abstract

Bounded uncertainty relations provide the minimum value of the uncertainty assuming some additional information on the state. We derive analytically an uncertainty relation bounded by a pair of constraints, those of purity and Gaussianity. In a limiting case this uncertainty relation reproduces the purity-bounded derived by V I Man'ko and V V Dodonov and the Gaussianity-bounded one [Phys. Rev. A 86, 030102R (2012)].

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A. Mandilara, E. Karpov, N. J. Cerf. 2009-10-19. Purity and Gaussianity bounded uncertainty relation. https://doi.org/10.1088/1751-8113/47/4/045302

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