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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 468, Pages 13–23 (Mi znsl6583)  
I

Quantum Markov states and quantum hidden Markov states

Z. I. Bezhaeva, V. I. Oseledets

Lomonosov Moscow State University, Moscow, Russia
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Abstract: The present article is a continuation of our previous paper “Remarks on quantum Markov states” (Funct. Anal. Appl. 49, No. 3 (2015), 205–209). We prove some propositions from that paper and define quantum Markov states and quantum hidden Markov states. Some connections are established with other definitions of these notions. We consider such states for lattices and graphs. We also consider an example with the Cayley tree.
Key words and phrases: hidden Markov chains, quantum Markov states, quantum hidden Markov states, finitely correlated states, Cayley tree.
Received: 30.07.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 240, Issue 5, Pages 507–514
DOI: https://doi.org/10.1007/s10958-019-04368-w
Bibliographic databases:
Document Type: Article
UDC: 519.2
Language: Russian
Citation: Z. I. Bezhaeva, V. I. Oseledets, “Quantum Markov states and quantum hidden Markov states”, Representation theory, dynamical systems, combinatorial methods. Part XXIX, Zap. Nauchn. Sem. POMI, 468, POMI, St. Petersburg, 2018, 13–23; J. Math. Sci. (N. Y.), 240:5 (2019), 507–514
Citation in format AMSBIB
\Bibitem{BezOse18}
\by Z.~I.~Bezhaeva, V.~I.~Oseledets
\paper Quantum Markov states and quantum hidden Markov states
\inbook Representation theory, dynamical systems, combinatorial methods. Part~XXIX
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 468
\pages 13--23
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6583}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 240
\issue 5
\pages 507--514
\crossref{https://doi.org/10.1007/s10958-019-04368-w}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85068177882}
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