Number-phase Wigner representation for scalable stochastic simulations of controlled quantum systems

M. R. Hush; S. S. Szigeti; A. R.R. Carvalho; J. J. Hope

doi:10.1109/IQEC-CLEO.2011.6193774

Number-phase Wigner representation for scalable stochastic simulations of controlled quantum systems

M. R. Hush^*, S. S. Szigeti, A. R.R. Carvalho, J. J. Hope

^*Corresponding author for this work

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

Abstract

Simulation of conditional master equations for many-body systems is important for state estimation and control of large quantum systems. Many-body conditional master equations have been simulated recently with stochastic methods, but the convergence time was restricted by the use of representations based on coherent states. We demonstrate that applying a stochastic method based on the number-phase Wigner (NPW) representation can converge over an order of magnitude longer than it's coherent equivalent. This technique can provide a drastic improvement in the convergence of simulations of controlled many-body quantum systems.

Original language	English
Title of host publication	2011 Int. Quantum Electr. Conf., IQEC 2011 Conf Lasers Electro-Optics, CLEO Pacific Rim 2011 Incorporating Australasian Conf. on Optics, Lasers Spectrosc. Australian Conf. Optical Fibre Technol.- Conf
Pages	728-730
Number of pages	3
DOIs	https://doi.org/10.1109/IQEC-CLEO.2011.6193774
Publication status	Published - 2011
Event	2011 International Quantum Electronics Conference, IQEC 2011 and Conference on Lasers and Electro-Optics, CLEO Pacific Rim 2011 - Sydney, NSW, Australia Duration: 28 Aug 2011 → 1 Sept 2011

Publication series

Name	2011 Int. Quantum Electron. Conf., IQEC 2011 and Conf. Lasers and Electro-Optics, CLEO Pacific Rim 2011 Incorporating the Australasian Conf. Optics, Lasers and Spectroscopy and the Australian Conf.

Conference

Conference	2011 International Quantum Electronics Conference, IQEC 2011 and Conference on Lasers and Electro-Optics, CLEO Pacific Rim 2011
Country/Territory	Australia
City	Sydney, NSW
Period	28/08/11 → 1/09/11

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10.1109/IQEC-CLEO.2011.6193774

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Hush, M. R., Szigeti, S. S., Carvalho, A. R. R., & Hope, J. J. (2011). Number-phase Wigner representation for scalable stochastic simulations of controlled quantum systems. In 2011 Int. Quantum Electr. Conf., IQEC 2011 Conf Lasers Electro-Optics, CLEO Pacific Rim 2011 Incorporating Australasian Conf. on Optics, Lasers Spectrosc. Australian Conf. Optical Fibre Technol.- Conf (pp. 728-730). Article 6193774 (2011 Int. Quantum Electron. Conf., IQEC 2011 and Conf. Lasers and Electro-Optics, CLEO Pacific Rim 2011 Incorporating the Australasian Conf. Optics, Lasers and Spectroscopy and the Australian Conf.). https://doi.org/10.1109/IQEC-CLEO.2011.6193774

Hush, M. R. ; Szigeti, S. S. ; Carvalho, A. R.R. et al. / Number-phase Wigner representation for scalable stochastic simulations of controlled quantum systems. 2011 Int. Quantum Electr. Conf., IQEC 2011 Conf Lasers Electro-Optics, CLEO Pacific Rim 2011 Incorporating Australasian Conf. on Optics, Lasers Spectrosc. Australian Conf. Optical Fibre Technol.- Conf. 2011. pp. 728-730 (2011 Int. Quantum Electron. Conf., IQEC 2011 and Conf. Lasers and Electro-Optics, CLEO Pacific Rim 2011 Incorporating the Australasian Conf. Optics, Lasers and Spectroscopy and the Australian Conf.).

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title = "Number-phase Wigner representation for scalable stochastic simulations of controlled quantum systems",

abstract = "Simulation of conditional master equations for many-body systems is important for state estimation and control of large quantum systems. Many-body conditional master equations have been simulated recently with stochastic methods, but the convergence time was restricted by the use of representations based on coherent states. We demonstrate that applying a stochastic method based on the number-phase Wigner (NPW) representation can converge over an order of magnitude longer than it's coherent equivalent. This technique can provide a drastic improvement in the convergence of simulations of controlled many-body quantum systems.",

author = "Hush, {M. R.} and Szigeti, {S. S.} and Carvalho, {A. R.R.} and Hope, {J. J.}",

year = "2011",

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language = "English",

isbn = "9780977565771",

series = "2011 Int. Quantum Electron. Conf., IQEC 2011 and Conf. Lasers and Electro-Optics, CLEO Pacific Rim 2011 Incorporating the Australasian Conf. Optics, Lasers and Spectroscopy and the Australian Conf.",

pages = "728--730",

booktitle = "2011 Int. Quantum Electr. Conf., IQEC 2011 Conf Lasers Electro-Optics, CLEO Pacific Rim 2011 Incorporating Australasian Conf. on Optics, Lasers Spectrosc. Australian Conf. Optical Fibre Technol.- Conf",

note = "2011 International Quantum Electronics Conference, IQEC 2011 and Conference on Lasers and Electro-Optics, CLEO Pacific Rim 2011 ; Conference date: 28-08-2011 Through 01-09-2011",

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Hush, MR, Szigeti, SS, Carvalho, ARR & Hope, JJ 2011, Number-phase Wigner representation for scalable stochastic simulations of controlled quantum systems. in 2011 Int. Quantum Electr. Conf., IQEC 2011 Conf Lasers Electro-Optics, CLEO Pacific Rim 2011 Incorporating Australasian Conf. on Optics, Lasers Spectrosc. Australian Conf. Optical Fibre Technol.- Conf., 6193774, 2011 Int. Quantum Electron. Conf., IQEC 2011 and Conf. Lasers and Electro-Optics, CLEO Pacific Rim 2011 Incorporating the Australasian Conf. Optics, Lasers and Spectroscopy and the Australian Conf., pp. 728-730, 2011 International Quantum Electronics Conference, IQEC 2011 and Conference on Lasers and Electro-Optics, CLEO Pacific Rim 2011, Sydney, NSW, Australia, 28/08/11. https://doi.org/10.1109/IQEC-CLEO.2011.6193774

Number-phase Wigner representation for scalable stochastic simulations of controlled quantum systems. / Hush, M. R.; Szigeti, S. S.; Carvalho, A. R.R. et al.
2011 Int. Quantum Electr. Conf., IQEC 2011 Conf Lasers Electro-Optics, CLEO Pacific Rim 2011 Incorporating Australasian Conf. on Optics, Lasers Spectrosc. Australian Conf. Optical Fibre Technol.- Conf. 2011. p. 728-730 6193774 (2011 Int. Quantum Electron. Conf., IQEC 2011 and Conf. Lasers and Electro-Optics, CLEO Pacific Rim 2011 Incorporating the Australasian Conf. Optics, Lasers and Spectroscopy and the Australian Conf.).

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

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AB - Simulation of conditional master equations for many-body systems is important for state estimation and control of large quantum systems. Many-body conditional master equations have been simulated recently with stochastic methods, but the convergence time was restricted by the use of representations based on coherent states. We demonstrate that applying a stochastic method based on the number-phase Wigner (NPW) representation can converge over an order of magnitude longer than it's coherent equivalent. This technique can provide a drastic improvement in the convergence of simulations of controlled many-body quantum systems.

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BT - 2011 Int. Quantum Electr. Conf., IQEC 2011 Conf Lasers Electro-Optics, CLEO Pacific Rim 2011 Incorporating Australasian Conf. on Optics, Lasers Spectrosc. Australian Conf. Optical Fibre Technol.- Conf

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Y2 - 28 August 2011 through 1 September 2011

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Hush MR, Szigeti SS, Carvalho ARR, Hope JJ. Number-phase Wigner representation for scalable stochastic simulations of controlled quantum systems. In 2011 Int. Quantum Electr. Conf., IQEC 2011 Conf Lasers Electro-Optics, CLEO Pacific Rim 2011 Incorporating Australasian Conf. on Optics, Lasers Spectrosc. Australian Conf. Optical Fibre Technol.- Conf. 2011. p. 728-730. 6193774. (2011 Int. Quantum Electron. Conf., IQEC 2011 and Conf. Lasers and Electro-Optics, CLEO Pacific Rim 2011 Incorporating the Australasian Conf. Optics, Lasers and Spectroscopy and the Australian Conf.). doi: 10.1109/IQEC-CLEO.2011.6193774

Number-phase Wigner representation for scalable stochastic simulations of controlled quantum systems

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