[BOOK][B] Geometry of quantum states: an introduction to quantum entanglement

I Bengtsson, K Życzkowski - 2017 - books.google.com
Quantum information theory is a branch of science at the frontier of physics, mathematics,
and information science, and offers a variety of solutions that are impossible using classical …

[BOOK][B] Introduction to nonextensive statistical mechanics: approaching a complex world

C Tsallis - 2009 - Springer
Metaphors, generalizations and unifications are natural and desirable ingredients of the
evolution of scientific theories and concepts. Physics, in particular, obviously walks along …

Entropic uncertainty relations and entanglement

O Gühne, M Lewenstein - Physical Review A—Atomic, Molecular, and Optical …, 2004 - APS
We discuss the relationship between entropic uncertainty relations and entanglement. We
present two methods for deriving separability criteria in terms of entropic uncertainty …

Tsallis entropy and entanglement constraints in multiqubit systems

JS Kim - Physical Review A—Atomic, Molecular, and Optical …, 2010 - APS
We show that the restricted shareability and distribution of multiqubit entanglement can be
characterized by Tsallis-q entropy. We first provide a class of bipartite entanglement …

General monogamy of Tsallis -entropy entanglement in multiqubit systems

Y Luo, T Tian, LH Shao, Y Li - Physical Review A, 2016 - APS
In this paper, we study the monogamy inequality of Tsallis q-entropy entanglement. We first
provide an analytic formula of Tsallis q-entropy entanglement in two-qubit systems for 5− 13 …

Parametrized entanglement monotone

X Yang, MX Luo, YH Yang, SM Fei - Physical Review A, 2021 - APS
Entanglement concurrence has been widely used for featuring entanglement in quantum
experiments. As an entanglement monotone it is related to specific quantum Tsallis entropy …

Tsallis entropy and general polygamy of multiparty quantum entanglement in arbitrary dimensions

JS Kim - Physical Review A, 2016 - APS
We establish a unified view of the polygamy of multiparty quantum entanglement in arbitrary
dimensions. Using quantum Tsallis-q entropy, we provide a one-parameter class of …

Nonadditive generalization of the quantum Kullback-Leibler divergence for measuring the degree of purification

S Abe - Physical Review A, 2003 - APS
Abstract The Kullback-Leibler divergence offers an information-theoretic basis for measuring
the difference between two given distributions. Its quantum analog, however, fails to play a …

Generalized entropic measures of quantum correlations

R Rossignoli, N Canosa, L Ciliberti - … Review A—Atomic, Molecular, and Optical …, 2010 - APS
We propose a general measure of nonclassical correlations for bipartite systems based on
generalized entropic functions and majorization properties. Defined as the minimum …

Many-body entanglement in fermion systems

N Gigena, M Di Tullio, R Rossignoli - Physical Review A, 2021 - APS
We discuss a general bipartitelike representation and Schmidt decomposition of an arbitrary
pure state of N indistinguishable fermions, based on states of M< N and (NM) fermions. It is …