Uncertainty, Entropy and non-Gaussianity for mixed states

被引:2
|
作者
Mandilara, Aikaterini [1 ]
Karpov, Evgueni [1 ]
Cerf, Nicolas J. [1 ]
机构
[1] Univ Libre Bruxelles, Ecole Polytech, B-1050 Brussels, Belgium
来源
QUANTUM OPTICS | 2010年 / 7727卷
关键词
Uncertainty principle; mixed states; non-Gaussian states; QUANTUM OPTICS; DISTANCE;
D O I
10.1117/12.854750
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
In the space of mixed states the Schrodinger-Robertson uncertainty relation holds though it can never be saturated. Two tight extensions of this relation in the space of mixed states exist; one proposed by Dodonov and Man'ko, where the lower limit on the uncertainty depends on the purity of the state, and another where the uncertainty is bounded by the von Neumann entropy of the state proposed by Bastiaans. Driven by the needs that have emerged in the field of quantum information, in a recent work we have extended the purity-bounded uncertainty relation by adding an additional parameter characterizing the state, namely its degree of non-Gaussianity. In this work we alternatively present a extension of the entropy-bounded uncertainty relation. The common points and differences between the two extensions of the uncertainty relation help us to draw more general conclusions concerning the bounds on the non-Gaussianity of mixed states.
引用
收藏
页数:10
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