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 |
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Article number | 045302 |
Journal | Journal of Physics A: Mathematical and Theoretical |
Volume | 47 |
Issue number | 4 |
DOIs | |
Publication status | Published - Jan 31 2014 |
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)