Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Springer eBooks

Stochastic Processes and Quantum Theory

John R. Klauder

Published Jan 1, 1975• 0 citations
Publisher
DOI
10.1007/978-3-7091-8424-0_14

Related papers

Stochastic Processes in Quantum Theory and Statistical Physics

Sergio A Albeverio, Ph. Combe, M. Sirugue-Collin

Lecture notes in physics•Jan 1, 1982•35 citations

Parallelism between quantum mechanics and theory of stochastic processes

U. Lindner

Physics Letters A•Mar 1, 1988•1 citation

Quantum theory and stochastic processes — Some contact points

Ludwig Streit

Lecture notes in mathematics•Jan 1, 1986•7 citations

Quantum theory and stochastic processes—some contact points

Stochastic Processes and their Applications•Dec 1, 1985•2 citations

Theory of stochastic processes in quantum dynamical systems

Yu. N. Barabanenkov, Vladimir D. Ozrin, A. V. Shelest

Theoretical and Mathematical Physics•Feb 1, 1980•1 citation

From the Heisenberg to the Schrödinger Picture: Quantum Stochastic Processes and Process Tensors

Hendra I. Nurdin, John Edward Gough

A general theory of quantum stochastic processes was formulated by Accardi, Frigerio and Lewis in 1982 within the operator-algebraic framework of quantum probability theory, as a non-commutative extension of the Kolmogorovian classical stochastic processes. More recently, studies on non-Markovian quantum processes have led to the discrete-time process tensor formalism in the Schrödinger picture to describe the outcomes of sequential interventions on open quantum systems. However, there has been no treatment of the relationship of the process tensor formalism to the quantum probabilistic theory of quantum stochastic processes. This paper gives an exposition of quantum stochastic processes and the process tensor and the relationship between them. In particular, it is shown how the latter emerges from the former via extended correlation kernels incorporating ancillas.

arXiv:2109.09256•IEEE Conference on Decision and Control (CDC)•Dec 14, 2021•3 citations
A general theory of quantum stochastic processes was formulated by Accardi, Frigerio and Lewis in 1982 within the operator-algebraic framework of quantum probability theory, as a non-commutative extension of the Kolmogorovian classical stochastic processes. More recently, studies on non-Markovian quantum processes have led to the discrete-time process tensor formalism in the Schrödinger picture to describe the outcomes of sequential interventions on open quantum systems. However, there has been no treatment of the relationship of the process tensor formalism to the quantum probabilistic theory of quantum stochastic processes. This paper gives an exposition of quantum stochastic processes and the process tensor and the relationship between them. In particular, it is shown how the latter emerges from the former via extended correlation kernels incorporating ancillas.