Synthesis and structure of mixed quantum-classical linear systems

Shi Wang; Hendra I. Nurdin; Guofeng Zhang; Matthew R. James

doi:10.1109/CDC.2012.6426093

Synthesis and structure of mixed quantum-classical linear systems

Shi Wang^*, Hendra I. Nurdin, Guofeng Zhang, Matthew R. James

^*Corresponding author for this work

Research output: Contribution to journal › Conference article › peer-review

15 Citations (Scopus)

Abstract

The purpose of this paper is to formulate and solve a synthesis problem for a class of linear quantum equations that may describe mixed quantum-classical systems. We propose a standard model for mixed quantum-classical linear stochastic systems for the design process, which can present the internal structure of a mixed quantum-classical system. Physical realizability conditions are derived for the standard model to ensure that it can correspond to a physical system. Furthermore, a network synthesis theory for a mixed quantum-classical system of the standard form has been developed. An example is given to illustrate the results.

Original language	English
Article number	6426093
Pages (from-to)	1093-1098
Number of pages	6
Journal	Proceedings of the IEEE Conference on Decision and Control
DOIs	https://doi.org/10.1109/CDC.2012.6426093
Publication status	Published - 2012
Event	51st IEEE Conference on Decision and Control, CDC 2012 - Maui, HI, United States Duration: 10 Dec 2012 → 13 Dec 2012

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10.1109/CDC.2012.6426093

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title = "Synthesis and structure of mixed quantum-classical linear systems",

abstract = "The purpose of this paper is to formulate and solve a synthesis problem for a class of linear quantum equations that may describe mixed quantum-classical systems. We propose a standard model for mixed quantum-classical linear stochastic systems for the design process, which can present the internal structure of a mixed quantum-classical system. Physical realizability conditions are derived for the standard model to ensure that it can correspond to a physical system. Furthermore, a network synthesis theory for a mixed quantum-classical system of the standard form has been developed. An example is given to illustrate the results.",

author = "Shi Wang and Nurdin, \{Hendra I.\} and Guofeng Zhang and James, \{Matthew R.\}",

year = "2012",

doi = "10.1109/CDC.2012.6426093",

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journal = "Proceedings of the IEEE Conference on Decision and Control",

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note = "51st IEEE Conference on Decision and Control, CDC 2012 ; Conference date: 10-12-2012 Through 13-12-2012",

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AU - Wang, Shi

AU - Nurdin, Hendra I.

AU - Zhang, Guofeng

AU - James, Matthew R.

PY - 2012

Y1 - 2012

N2 - The purpose of this paper is to formulate and solve a synthesis problem for a class of linear quantum equations that may describe mixed quantum-classical systems. We propose a standard model for mixed quantum-classical linear stochastic systems for the design process, which can present the internal structure of a mixed quantum-classical system. Physical realizability conditions are derived for the standard model to ensure that it can correspond to a physical system. Furthermore, a network synthesis theory for a mixed quantum-classical system of the standard form has been developed. An example is given to illustrate the results.

AB - The purpose of this paper is to formulate and solve a synthesis problem for a class of linear quantum equations that may describe mixed quantum-classical systems. We propose a standard model for mixed quantum-classical linear stochastic systems for the design process, which can present the internal structure of a mixed quantum-classical system. Physical realizability conditions are derived for the standard model to ensure that it can correspond to a physical system. Furthermore, a network synthesis theory for a mixed quantum-classical system of the standard form has been developed. An example is given to illustrate the results.

UR - https://www.scopus.com/pages/publications/84874241833

U2 - 10.1109/CDC.2012.6426093

DO - 10.1109/CDC.2012.6426093

M3 - Conference article

AN - SCOPUS:84874241833

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SP - 1093

EP - 1098

JO - Proceedings of the IEEE Conference on Decision and Control

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M1 - 6426093

T2 - 51st IEEE Conference on Decision and Control, CDC 2012

Y2 - 10 December 2012 through 13 December 2012

ER -

Synthesis and structure of mixed quantum-classical linear systems

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