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Quantum Markov States on Cayley trees
, 2019 It is known that any locally faithful quantum Markov state (QMS) on one dimensional setting can be considered as a Gibbs state associated with Hamiltonian with commuting nearest-neighbor interactions. In our previous results, we have investigated quantum
Mukhamedov, Farrukh, Souissi, Abdessatar
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A Factorization Theorem for $\varphi$--Maps
, 2012 We present a far reaching generalization of a factorization theorem by Bhat, Ramesh, and Sumesh (stated first by Asadi) and furnish a very quick proof.Comment: Reivised according to the referee's suggestions (now 5 pages); to appear in Journal of ...
Skeide, Michael
core
, 2017 We define bi-monotone independence, prove a bi-monotone central limit theorem and use it to study the distribution of bi-monotone Brownian motion, which is defined as the two-dimensional operator process with monotone and antimonotone Brownian motion as ...
Gerhold, Malte
core
Spreadability for Quantum Stochastic Processes, with an Application to Boolean Commutation Relations. [PDF]
Entropy (Basel), 2020 Crismale V, Fidaleo F, Griseta ME.
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Non-commutative L p spaces and Grassmann stochastic analysis. [PDF]
Probab Theory Relat FieldsDe Vecchi F +3 more
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The ergodic theorem for random walks on finite quantum groups
Communications in Algebra, 2021J P Mccarthy
exaly
Optimal estimates for martingale transforms
Journal of Functional Analysis, 2022Jinghao Huang, Dmitriy Zanin
exaly
Connes' bicentralizer problem for q‐deformed Araki–Woods algebras
Bulletin of the London Mathematical Society, 2020Cyril Houdayer, Yusuke Isono
exaly
A variance bound for a general function of independent noncommutative random variables
Quaestiones Mathematicae, 2019Mohammad Sal Moslehian, Ali Talebi
exaly