An operational measure for squeezing
Mathematical Physics
2016-11-23 v1 math.MP
Quantum Physics
Abstract
We propose and analyse a mathematical measure for the amount of squeezing contained in a continuous variable quantum state. We show that the proposed measure operationally quantifies the minimal amount of squeezing needed to prepare a given quantum state and that it can be regarded as a squeezing analogue of the "entanglement of formation". We prove that the measure is convex and superadditive and we provide analytic bounds as well as a numerical convex optimisation algorithm for its computation. By example, we then show that the amount of squeezing needed for the preparation of certain multi-mode quantum states can be significantly lower than naive approaches suggest.
Cite
@article{arxiv.1607.00873,
title = {An operational measure for squeezing},
author = {Martin Idel and Daniel Lercher and Michael M. Wolf},
journal= {arXiv preprint arXiv:1607.00873},
year = {2016}
}
Comments
51+7 pages, 2 figures, comments always welcome