Uncertainty relation for mutual information
نویسندگان
چکیده
منابع مشابه
Uncertainty relation for mutual information
James Schneeloch,1,2 Curtis J. Broadbent,1,2,3 and John C. Howell1,2 1Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627, USA 2Center for Coherence and Quantum Optics, University of Rochester, Rochester, New York 14627, USA 3Rochester Theory Center, University of Rochester, Rochester, New York 14627, USA (Received 25 April 2014; revised manuscript received 2...
متن کاملThe Mutual Information Diagram for Uncertainty Visualization
We present a variant of the Taylor diagram, a type of 2D plot that succinctly shows the relationship between two or more random variables based on their variance and correlation. The Taylor diagram has been adopted by the climate and geophysics communities to produce insightful visualizations, e.g., for intercomparison studies. Our variant, which we call the Mutual Information Diagram, represen...
متن کاملOn generalized skew information and uncertainty relation
A generalized skew correlation and a generalized skew information are defined and then a kind of the generalization of uncertainty relation is established by the help of the trace inequality which was recently proven by J.I.Fujii. In addition, we prove the trace inequality which is an extension of the conjecture addressed in [1]. This manuscript is based on our recent paper [2]. Mathematics Sub...
متن کاملInformation-Disturbance theorem and Uncertainty Relation
It has been shown that Information-Disturbance theorem can play an important role in security proof of quantum cryptography. The theorem is by itself interesting since it can be regarded as an information theoretic version of uncertainty principle. It, however, has been able to treat restricted situations. In this paper, the restriction on the source is abandoned, and a general information-dist...
متن کاملUncertainty relation for photons.
The uncertainty relation for the photons in three dimensions that overcomes the difficulties caused by the nonexistence of the photon position operator is derived in quantum electrodynamics. The photon energy density plays the role of the probability density in configuration space. It is shown that the measure of the spatial extension based on the energy distribution in space leads to an inequa...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review A
سال: 2014
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.90.062119