Purity and Gaussianity bounded uncertainty relation
Quantum Physics
2018-01-24 v3
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)].
Keywords
Cite
@article{arxiv.0910.3473,
title = {Purity and Gaussianity bounded uncertainty relation},
author = {A. Mandilara and E. Karpov and N. J. Cerf},
journal= {arXiv preprint arXiv:0910.3473},
year = {2018}
}
Comments
Major changes in the presentation of the results but also in the proofs which have become more compact. Submitted to Journal of Physics A