markovian semigroups
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2021 ◽  
Vol 53 (5) ◽  
pp. 5646-5681
Author(s):  
Chunrong Feng ◽  
Huaizhong Zhao
Keyword(s):  


2019 ◽  
Vol 26 (04) ◽  
pp. 1950019
Author(s):  
Dariusz Chruściński ◽  
Andrzej Kossakowski

A new condition for dynamical maps with time independent invariant state displaying Heisenberg divisibility is provided. This condition is trivially satisfied for a Markovian semigroup. However, beyond Markovian semigroups it provides a nontrivial characteristics of quantum Markovianity. Interestingly, when the invariant state is pure one recovers a condition based on Wigner–Yanase skew information.



2019 ◽  
Vol 55 (2) ◽  
pp. 977-1000
Author(s):  
Lucian Beznea ◽  
Iulian Cîmpean ◽  
Michael Röckner


2014 ◽  
Vol 54 (2) ◽  
pp. 367-399 ◽  
Author(s):  
Seiichiro Kusuoka ◽  
Ichiro Shigekawa


2013 ◽  
Vol 50 (4) ◽  
pp. 943-959 ◽  
Author(s):  
Guan-Yu Chen ◽  
Laurent Saloff-Coste

We make a connection between the continuous time and lazy discrete time Markov chains through the comparison of cutoffs and mixing time in total variation distance. For illustration, we consider finite birth and death chains and provide a criterion on cutoffs using eigenvalues of the transition matrix.



2013 ◽  
Vol 50 (04) ◽  
pp. 943-959 ◽  
Author(s):  
Guan-Yu Chen ◽  
Laurent Saloff-Coste

We make a connection between the continuous time and lazy discrete time Markov chains through the comparison of cutoffs and mixing time in total variation distance. For illustration, we consider finite birth and death chains and provide a criterion on cutoffs using eigenvalues of the transition matrix.



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