Direct and indirect couplings in the interconnection of open two level quantum systems

Zibo Miao; Matthew R. James

doi:10.1109/CCA.2015.7320608

Direct and indirect couplings in the interconnection of open two level quantum systems

Zibo Miao, Matthew R. James

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Citation (Scopus)

Abstract

Recently, the influences and applications of indirect and direct couplings in coherent feedback control of linear quantum stochastic systems have been investigated. However, bilinear quantum stochastic systems escape the realm of the current known results. Furthermore, as fast tunable coupling of a set of two level quantum systems (qubits) with high coherence plays a vital role in quantum computing operations, in this paper we study direct and indirect couplings in the interconnection of qubits. A physical model described by bilinear quantum stochastic differential equations is presented, and physical realizability conditions (necessary and sufficient algebraic constraints) are provided to guarantee these bilinear quantum stochastic differential equations to correspond to the dynamics of directly or indirectly coupled open two level systems. These results shed light on network synthesis of bilinear quantum stochastic systems and coherent control of multiple qubits.

Original language	English
Title of host publication	2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	13-18
Number of pages	6
ISBN (Electronic)	9781479977871
DOIs	https://doi.org/10.1109/CCA.2015.7320608
Publication status	Published - 4 Nov 2015
Event	IEEE Conference on Control and Applications, CCA 2015 - Sydney, Australia Duration: 21 Sept 2015 → 23 Sept 2015

Publication series

Name	2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings

Conference

Conference	IEEE Conference on Control and Applications, CCA 2015
Country/Territory	Australia
City	Sydney
Period	21/09/15 → 23/09/15

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10.1109/CCA.2015.7320608

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Miao, Z., & James, M. R. (2015). Direct and indirect couplings in the interconnection of open two level quantum systems. In 2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings (pp. 13-18). Article 7320608 (2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CCA.2015.7320608

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title = "Direct and indirect couplings in the interconnection of open two level quantum systems",

abstract = "Recently, the influences and applications of indirect and direct couplings in coherent feedback control of linear quantum stochastic systems have been investigated. However, bilinear quantum stochastic systems escape the realm of the current known results. Furthermore, as fast tunable coupling of a set of two level quantum systems (qubits) with high coherence plays a vital role in quantum computing operations, in this paper we study direct and indirect couplings in the interconnection of qubits. A physical model described by bilinear quantum stochastic differential equations is presented, and physical realizability conditions (necessary and sufficient algebraic constraints) are provided to guarantee these bilinear quantum stochastic differential equations to correspond to the dynamics of directly or indirectly coupled open two level systems. These results shed light on network synthesis of bilinear quantum stochastic systems and coherent control of multiple qubits.",

author = "Zibo Miao and James, {Matthew R.}",

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doi = "10.1109/CCA.2015.7320608",

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Miao, Z & James, MR 2015, Direct and indirect couplings in the interconnection of open two level quantum systems. in 2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings., 7320608, 2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings, Institute of Electrical and Electronics Engineers Inc., pp. 13-18, IEEE Conference on Control and Applications, CCA 2015, Sydney, Australia, 21/09/15. https://doi.org/10.1109/CCA.2015.7320608

Direct and indirect couplings in the interconnection of open two level quantum systems. / Miao, Zibo; James, Matthew R.
2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2015. p. 13-18 7320608 (2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Miao, Zibo

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N2 - Recently, the influences and applications of indirect and direct couplings in coherent feedback control of linear quantum stochastic systems have been investigated. However, bilinear quantum stochastic systems escape the realm of the current known results. Furthermore, as fast tunable coupling of a set of two level quantum systems (qubits) with high coherence plays a vital role in quantum computing operations, in this paper we study direct and indirect couplings in the interconnection of qubits. A physical model described by bilinear quantum stochastic differential equations is presented, and physical realizability conditions (necessary and sufficient algebraic constraints) are provided to guarantee these bilinear quantum stochastic differential equations to correspond to the dynamics of directly or indirectly coupled open two level systems. These results shed light on network synthesis of bilinear quantum stochastic systems and coherent control of multiple qubits.

AB - Recently, the influences and applications of indirect and direct couplings in coherent feedback control of linear quantum stochastic systems have been investigated. However, bilinear quantum stochastic systems escape the realm of the current known results. Furthermore, as fast tunable coupling of a set of two level quantum systems (qubits) with high coherence plays a vital role in quantum computing operations, in this paper we study direct and indirect couplings in the interconnection of qubits. A physical model described by bilinear quantum stochastic differential equations is presented, and physical realizability conditions (necessary and sufficient algebraic constraints) are provided to guarantee these bilinear quantum stochastic differential equations to correspond to the dynamics of directly or indirectly coupled open two level systems. These results shed light on network synthesis of bilinear quantum stochastic systems and coherent control of multiple qubits.

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BT - 2015 IEEE Conference on Control and Applications, CCA 2015 - Proceedings

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - IEEE Conference on Control and Applications, CCA 2015

Y2 - 21 September 2015 through 23 September 2015

ER -

Direct and indirect couplings in the interconnection of open two level quantum systems

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