scholarly journals Interacting reinforced stochastic processes: Statistical inference based on the weighted empirical means

Bernoulli ◽  
2020 ◽  
Vol 26 (2) ◽  
pp. 1098-1138
Author(s):  
Giacomo Aletti ◽  
Irene Crimaldi ◽  
Andrea Ghiglietti
Keyword(s):  
Stochastic Processes ◽  
Statistical Inference ◽  
Empirical Means

Can One Validly Use Classical Statistical Inference in Open Quantum Systems?

2010 ◽  
Vol 17 (04) ◽  
pp. 311-330
Author(s):  
Mallén Arenas ◽  
Rolando Rebolledo
Keyword(s):  
Stochastic Processes ◽  
Statistical Inference ◽  
Open Quantum Systems ◽  
Quantum Systems ◽  
Measurement Process ◽  
Suitable Choice ◽  
Markov Semigroups ◽  
Open Quantum ◽  
Classical Reduction ◽  
Consistent Approach

A major problem to perform statistical inference in open quantum systems is the perturbation induced by the measurement process. However, at least theoretically, a suitable choice of the measurement process could provide a consistent approach through classical stochastic processes. This work proposes a method to perform statistical inference on open quantum systems represented by quantum Markov semigroups having a suitable classical reduction. The method is based on measurements associated to observables generating invariant abelian algebras.

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