Purity- and Gaussianity-bounded uncertainty relations

A. Mandilara; E. Karpov; N. J. Cerf

doi:10.1088/1751-8113/47/4/045302

Purity- and Gaussianity-bounded uncertainty relations

A. Mandilara, E. Karpov, N. J. Cerf

Department of Physics

Research output: Contribution to journal › Article

4 Citations (Scopus)

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 Man'ko and Dodonov and the Gaussianity-bounded one (Mandilara and Cerf 2012 Phys. Rev. A 86 030102R).

Original language	English
Article number	045302
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	47
Issue number	4
DOIs	https://doi.org/10.1088/1751-8113/47/4/045302
Publication status	Published - Jan 31 2014

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Keywords

non-Gaussianity
uncertainty relation

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
Physics and Astronomy(all)

Cite this

Mandilara, A., Karpov, E., & Cerf, N. J. (2014). Purity- and Gaussianity-bounded uncertainty relations. Journal of Physics A: Mathematical and Theoretical, 47(4), [045302]. https://doi.org/10.1088/1751-8113/47/4/045302

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10.1088/1751-8113/47/4/045302