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Representation and network synthesis for a class of mixed quantum-classical linear stochastic systems

Date

2018

Authors

Wang, Shi
Nurdin, Hendra
Zhang, Guofeng
James, Matthew

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier Ltd

Abstract

The purpose of this paper is to present a network realization theory for a class of mixed quantum–classical linear stochastic systems. Two forms, the standard form and the general form, of this class of linear mixed quantum–classical systems are proposed. Necessary and sufficient conditions for their physical realizability are derived. Based on these physical realizability conditions, a network synthesis theory for this class of linear mixed quantum–classical systems is developed, which clearly exhibits the quantum component, the classical component, and their interface. An example is used to illustrate the theory presented in this paper.

Description

Keywords

Linear stochastic systems, Mixed quantum–classical linear stochastic systems, Quantum systems, Classical probability, Quantum probability, Network synthesis theory, Physical realizability condition

Citation

Source

Automatica

Type

Journal article

Book Title

Entity type

Access Statement

License Rights

DOI

10.1016/j.automatica.2018.06.003

Restricted until

2099-12-31