Quantum covariance and filtering

John E. Gough

doi:10.1016/j.arcontrol.2022.05.003

Quantum covariance and filtering

John E. Gough^*

^*Corresponding author for this work

Department of Physics

Research output: Contribution to journal › Review Article › peer-review

2 Citations (Scopus)

38 Downloads (Pure)

Abstract

We give a tutorial exposition of the analogue of the filtering equation for quantum systems focusing on the quantum probabilistic framework and developing the ideas from the classical theory. Quantum covariances and conditional expectations on von Neumann algebras play an essential part in the presentation.

Original language	English
Pages (from-to)	262-273
Number of pages	12
Journal	Annual Reviews in Control
Volume	54
DOIs	https://doi.org/10.1016/j.arcontrol.2022.05.003
Publication status	Published - 02 Nov 2022

Keywords

Quantum filtering
Quantum Markovian systems
Quantum probability

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10.1016/j.arcontrol.2022.05.003

Accepted ManuscriptAccepted author manuscript, 472 KBLicence: CC BY-NC-ND

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title = "Quantum covariance and filtering",

abstract = "We give a tutorial exposition of the analogue of the filtering equation for quantum systems focusing on the quantum probabilistic framework and developing the ideas from the classical theory. Quantum covariances and conditional expectations on von Neumann algebras play an essential part in the presentation.",

keywords = "Quantum filtering, Quantum Markovian systems, Quantum probability",

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AB - We give a tutorial exposition of the analogue of the filtering equation for quantum systems focusing on the quantum probabilistic framework and developing the ideas from the classical theory. Quantum covariances and conditional expectations on von Neumann algebras play an essential part in the presentation.

KW - Quantum filtering

KW - Quantum Markovian systems

KW - Quantum probability

UR - https://www.scopus.com/pages/publications/85132944834

U2 - 10.1016/j.arcontrol.2022.05.003

DO - 10.1016/j.arcontrol.2022.05.003

M3 - Review Article

AN - SCOPUS:85132944834

SN - 1367-5788

VL - 54

SP - 262

EP - 273

JO - Annual Reviews in Control

JF - Annual Reviews in Control

ER -

Quantum covariance and filtering

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Keywords

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