13 citations · 63 across the 32 of their papers we have counts for
32 papers
Quantum -divergences via Nussbaum-Szkoła Distributions and Applications to -divergence Inequalities
George Androulakis, Tiju Cherian John
The main result in this article shows that the quantum -divergence of two states is equal to the classical -divergence of the corresponding Nussbaum-Szkoła distributions. Thi…
Petz-Rényi Relative Entropy of Thermal States and their Displacements
George Androulakis, Tiju Cherian John
In this article, we obtain the precise range of the values of the parameter such that Petz-Rényi -relative entropy of two displaced thermal states is finite. Mor…
A Variational Quantum Algorithm For Approximating Convex Roofs
George Androulakis, Ryan McGaha
Many entanglement measures are first defined for pure states of a bipartite Hilbert space, and then extended to mixed states via the convex roof extension. In this article we alter…
Relative Entropy via Distribution of Observables
George Androulakis, Tiju Cherian John
We obtain formulas for Petz-Rényi and Umegaki relative entropy from the idea of distribution of a positive selfadjoint operator. Classical results on Rényi and Kullback-Leibler div…
Some Remarks on the Entanglement Number
George Androulakis, Ryan McGaha
Gudder, in a recent paper, defined a candidate entanglement measure which is called the entanglement number. The entanglement number is first defined on pure states and then it ext…
The induced semigroup of Schwarz maps to the space of Hilbert-Schmidt operators
George Androulakis, Alexander Wiedemann, Matthew Ziemke
We prove that for every semigroup of Schwarz maps on the von~Neumann algebra of all bounded linear operators on a Hilbert space which has a subinvariant faithful normal state there…