Quantum Markov States and Quantum Hidden Markov States
In a previous paper (Funct. Anal. Appl., 3 (2015), 205–209), we defined quantum Markov states. Here we recall this definition and present a proof of the results from that paper (which are given there without proofs). We give a definition of a quantum hidden Markov state generated by a function of a...
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Published in | Journal of mathematical sciences (New York, N.Y.) Vol. 240; no. 5; pp. 507 - 514 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
New York
Springer US
01.08.2019
Springer Springer Nature B.V |
Subjects | |
Online Access | Get full text |
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Summary: | In a previous paper (Funct. Anal. Appl.,
3
(2015), 205–209), we defined quantum Markov states. Here we recall this definition and present a proof of the results from that paper (which are given there without proofs). We give a definition of a quantum hidden Markov state generated by a function of a quantum Markov process and show how it is related to other definitions of such states. Our definitions work for quantum Markov fields on ℤ
N
and on graphs. We consider an example with the Cayley tree. |
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ISSN: | 1072-3374 1573-8795 |
DOI: | 10.1007/s10958-019-04368-w |