Hellinger distance as a measure of Gaussian discord

Hellinger distance

In this lecture, we will introduce a new notion of distance between probability distributions called Hellinger distance. Using some of the nice properties of this distance, we will generalize the fooling set argument for deterministic protocols to the randomized setting. We will then use this to prove a Ω(n) lower bound for the communication complexity of Disjointness. We will also see how this...

Revision of a fuzzy distance measure

Optimality of Gaussian discord.

In this Letter we exploit the recently solved conjecture on the bosonic minimum output entropy to show the optimality of Gaussian discord, so that the computation of quantum discord for bipartite Gaussian states can be restricted to local Gaussian measurements. We prove such optimality for a large family of Gaussian states, including all two-mode squeezed thermal states, which are the most typi...

Gaussian quantum discord.

We extend the quantum discord to continuous variable systems and evaluate Gaussian quantum discord C(ϱ) for bipartite Gaussian states. In particular, for squeezed-thermal states, we explicitly maximize the extractable information over Gaussian measurements: C(ϱ) is minimized by a generalized measurement rather than a projective one. Almost all squeezed-thermal states have nonzero Gaussian disco...

Degree of Optimality as a Measure of Distance of Power System Operation from Optimal Operation

This paper presents an algorithm based on inter-solutions of having scheduled electricity generation resources and the fuzzy logic as a sublimation tool of outcomes obtained from the schedule inter-solutions. The goal of the algorithm is to bridge the conflicts between minimal cost and other aspects of generation. In the past, the optimal scheduling of electricity generation resources has been ...