Stopping times for quantum Markov chains

DOI10.1007/BF01060433zbMath0751.60081MaRDI QIDQ1194478

Luigi Accardi, Dmitry V. Koroliuk

Publication date: 27 September 1992

Published in: Journal of Theoretical Probability (Search for Journal in Brave)

zbMATH Keywords

strong Markov propertystopping timesrecurrence criteriaHeisenberg potentialquantum Markov states

Mathematics Subject Classification ID

General mathematical topics and methods in quantum theory (81Q99) Markov processes (60J99)

Related Items

Passage times, exit times and Dirichlet problems for open quantum walks, Quantum stopping times stochastic integral in the interacting Fock space, Potential theory for quantum Markov states and other quantum Markov chains, On stopping rules for tree-indexed quantum Markov chains, Recurrence of a class of quantum Markov chains on trees, Open quantum random walks and quantum Markov chains on trees. II: The recurrence, Quantum Markov chains: description of hybrid systems, decidability of equivalence, and model checking linear-time properties, Open quantum random walks: ergodicity, hitting times, gambler's ruin and potential theory, Open quantum random walks, quantum Markov chains and recurrence, Quantum Markov chains associated with Open Quantum random walks, Mean hitting times of quantum Markov chains in terms of generalized inverses

Cites Work

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• The strong Markov property for fermion Brownian motion
• Stopping unitary processes in Fock space
• The strong Markov property for canonical Wiener processes
• Stopping non-commutative processes
• Positive Functions on C ∗ -Algebras