A quantum algorithm for evolving open quantum dynamics on quantum computing devices

Abstract Designing quantum algorithms for simulating quantum systems has seen enormous progress, yet few studies have been done to develop quantum algorithms for open quantum dynamics despite its importance in modeling the system-environment interaction found in most realistic physical models. In th...

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Autores principales:	Zixuan Hu, Rongxin Xia, Sabre Kais
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2020
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/0b305f1fd7124322a2c8c6495cd6a439
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spelling	oai:doaj.org-article:0b305f1fd7124322a2c8c6495cd6a4392021-12-02T14:28:22ZA quantum algorithm for evolving open quantum dynamics on quantum computing devices10.1038/s41598-020-60321-x2045-2322https://doaj.org/article/0b305f1fd7124322a2c8c6495cd6a4392020-02-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-60321-xhttps://doaj.org/toc/2045-2322Abstract Designing quantum algorithms for simulating quantum systems has seen enormous progress, yet few studies have been done to develop quantum algorithms for open quantum dynamics despite its importance in modeling the system-environment interaction found in most realistic physical models. In this work we propose and demonstrate a general quantum algorithm to evolve open quantum dynamics on quantum computing devices. The Kraus operators governing the time evolution can be converted into unitary matrices with minimal dilation guaranteed by the Sz.-Nagy theorem. This allows the evolution of the initial state through unitary quantum gates, while using significantly less resource than required by the conventional Stinespring dilation. We demonstrate the algorithm on an amplitude damping channel using the IBM Qiskit quantum simulator and the IBM Q 5 Tenerife quantum device. The proposed algorithm does not require particular models of dynamics or decomposition of the quantum channel, and thus can be easily generalized to other open quantum dynamical models.Zixuan HuRongxin XiaSabre KaisNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 10, Iss 1, Pp 1-9 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Zixuan Hu Rongxin Xia Sabre Kais A quantum algorithm for evolving open quantum dynamics on quantum computing devices
description	Abstract Designing quantum algorithms for simulating quantum systems has seen enormous progress, yet few studies have been done to develop quantum algorithms for open quantum dynamics despite its importance in modeling the system-environment interaction found in most realistic physical models. In this work we propose and demonstrate a general quantum algorithm to evolve open quantum dynamics on quantum computing devices. The Kraus operators governing the time evolution can be converted into unitary matrices with minimal dilation guaranteed by the Sz.-Nagy theorem. This allows the evolution of the initial state through unitary quantum gates, while using significantly less resource than required by the conventional Stinespring dilation. We demonstrate the algorithm on an amplitude damping channel using the IBM Qiskit quantum simulator and the IBM Q 5 Tenerife quantum device. The proposed algorithm does not require particular models of dynamics or decomposition of the quantum channel, and thus can be easily generalized to other open quantum dynamical models.
format	article
author	Zixuan Hu Rongxin Xia Sabre Kais
author_facet	Zixuan Hu Rongxin Xia Sabre Kais
author_sort	Zixuan Hu
title	A quantum algorithm for evolving open quantum dynamics on quantum computing devices
title_short	A quantum algorithm for evolving open quantum dynamics on quantum computing devices
title_full	A quantum algorithm for evolving open quantum dynamics on quantum computing devices
title_fullStr	A quantum algorithm for evolving open quantum dynamics on quantum computing devices
title_full_unstemmed	A quantum algorithm for evolving open quantum dynamics on quantum computing devices
title_sort	quantum algorithm for evolving open quantum dynamics on quantum computing devices
publisher	Nature Portfolio
publishDate	2020
url	https://doaj.org/article/0b305f1fd7124322a2c8c6495cd6a439
work_keys_str_mv	AT zixuanhu aquantumalgorithmforevolvingopenquantumdynamicsonquantumcomputingdevices AT rongxinxia aquantumalgorithmforevolvingopenquantumdynamicsonquantumcomputingdevices AT sabrekais aquantumalgorithmforevolvingopenquantumdynamicsonquantumcomputingdevices AT zixuanhu quantumalgorithmforevolvingopenquantumdynamicsonquantumcomputingdevices AT rongxinxia quantumalgorithmforevolvingopenquantumdynamicsonquantumcomputingdevices AT sabrekais quantumalgorithmforevolvingopenquantumdynamicsonquantumcomputingdevices
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A quantum algorithm for evolving open quantum dynamics on quantum computing devices

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