Quantum Markov States and Quantum Hidden Markov States

• Published in: Journal of mathematical sciences (New York, N.Y.) Vol. 240; no. 5; pp. 507 - 514
• Main Authors: Bezhaeva, Z. I., Oseledets, V. I.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.08.2019; Springer; Springer Nature B.V
• Subjects: Algebra; FUNCTIONS; GRAPH THEORY; Markov analysis; MARKOV PROCESS; Markov processes; MATHEMATICAL METHODS AND COMPUTING; Mathematics; Mathematics and Statistics; QUANTUM FIELD THEORY; QUANTUM 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...