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The main result in this article shows that the quantum $f$-divergence of two states is equal to the classical $f$-divergence of the corresponding Nussbaum-Szko{\l}a distributions. This provides a general framework for studying certain properties of q
Externí odkaz:
http://arxiv.org/abs/2308.02929
Autor:
Androulakis, George, Wosti, Rabins
Publikováno v:
Quantum Information and Computation, Vol. 24, No. 13&14 (2024) 1110-1145
Consider a general quantum stochastic source that emits at discrete time steps quantum pure states which are chosen from a finite alphabet according to some probability distribution which may depend on the whole history. Also, fix two positive intege
Externí odkaz:
http://arxiv.org/abs/2305.18748
Publikováno v:
Letters in Mathematical Physics, Volume 114, article number 57, (2024)
In this article, we obtain the precise range of the values of the parameter $\alpha$ such that Petz-R\'enyi $\alpha$-relative entropy $D_{\alpha}(\rho||\sigma)$ of two displaced thermal states is finite. More precisely, we prove that, given two displ
Externí odkaz:
http://arxiv.org/abs/2303.03380
Autor:
Androulakis, George, McGaha, Ryan
Publikováno v:
Quantum Information and Computation, Vol. 22, No. 13 &14 (2022) 1081-1109
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 the convex roof extension of an entanglement measure, to produce a se
Externí odkaz:
http://arxiv.org/abs/2203.02099
Publikováno v:
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2023
We obtain formulas for Petz-R\'enyi and Umegaki relative entropy from the idea of distribution of a positive selfadjoint operator. Classical results on R\'enyi and Kullback-Leibler divergences are applied to obtain new results and new proofs for some
Externí odkaz:
http://arxiv.org/abs/2203.01964
Autor:
Economakis, George, author, Markaki, Maria, author, Androulakis, George, author, Anastasiadis, Alexios, author
Publikováno v:
Crisis, Movement, Strategy: The Greek Experience. 163:40-66
Autor:
Androulakis, George, McGaha, Ryan
Publikováno v:
Quanta 2020; 9: 22-36
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 extends to mixed states by the convex roof construction. In Gudder's arti
Externí odkaz:
http://arxiv.org/abs/2012.01692
Akademický článek
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Publikováno v:
Math Phys Anal Geom 23, 10 (2020)
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 exists an associated semigroup of contractions on the space of Hilber
Externí odkaz:
http://arxiv.org/abs/1906.05905
Autor:
Androulakis, George, Wright, Duncan
Publikováno v:
Phys. Rev. A 100, 032301 (2019)
In this article we study lossless compression of strings of pure quantum states of indeterminate-length quantum codes which were introduced by Schumacher and Westmoreland. Past work has assumed that the strings of quantum data are prepared to be enco
Externí odkaz:
http://arxiv.org/abs/1904.05402