منابع مشابه
ON THE INFINITE ORDER MARKOV PROCESSES
The notion of infinite order Markov process is introduced and the Markov property of the flow of information is established.
متن کاملon the infinite order markov processes
the notion of infinite order markov process is introduced and the markov property of the flow of information is established.
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This chapter reviews the concept of a Markov chain for random variables and then introduces a generalization to quantummechanical systems. We discuss the subtle differences between classical and quantumMarkov chains and point out difficulties that show up in the quantum case. Unlike the classical case that has been analyzed and understood well in the past, certain aspects of quantumMarkov chain...
متن کاملQuantum semi-Markov processes.
We construct a large class of non-Markovian master equations that describe the dynamics of open quantum systems featuring strong memory effects, which relies on a quantum generalization of the concept of classical semi-Markov processes. General conditions for the complete positivity of the corresponding quantum dynamical maps are formulated. The resulting non-Markovian quantum processes allow t...
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A new approach to quantum Markov chains is presented. We first define a transition operation matrix (TOM) as a matrix whose entries are completely positive maps whose column sums form a quantum operation. A quantum Markov chain is defined to be a pair (G, E) where G is a directed graph and E = [Eij ] is a TOM whose entry Eij labels the edge from vertex j to vertex i. We think of the vertices of...
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2019
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.122.140401