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

Hendra I. Nurdin, John Gough

Research output: Chapter in Book/Report/Conference proceedingConference Proceeding (Non-Journal item)

2 Citations (SciVal)

Abstract

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.

Original languageEnglish
Title of host publication60th IEEE Conference on Decision and Control, CDC 2021
PublisherIEEE Press
Pages4164-4169
Number of pages6
ISBN (Electronic)9781665436595
DOIs
Publication statusPublished - 2021
Event60th IEEE Conference on Decision and Control, CDC 2021 - Austin, United States of America
Duration: 13 Dec 202117 Dec 2021

Publication series

NameProceedings of the IEEE Conference on Decision and Control
Volume2021-December
ISSN (Print)0743-1546
ISSN (Electronic)2576-2370

Conference

Conference60th IEEE Conference on Decision and Control, CDC 2021
Country/TerritoryUnited States of America
CityAustin
Period13 Dec 202117 Dec 2021

Fingerprint

Dive into the research topics of 'From the Heisenberg to the Schrödinger Picture: Quantum Stochastic Processes and Process Tensors'. Together they form a unique fingerprint.

Cite this