Simulating the dynamics of time-dependent Hamiltonians with a truncated Dyson series

Kieferová, M; Scherer, A; Berry, DW

Simulating the dynamics of time-dependent Hamiltonians with a truncated Dyson series

Kieferová, M Scherer, A Berry, DW

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Publisher:: American Physical Society
Publication Type:: Journal Article
Citation:: Physical Review A, 2019, 99, (4), pp. 1-13
Issue Date:: 2019-04-05

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Field	Value	Language
dc.contributor.author	Kieferová, M
dc.contributor.author	Scherer, A
dc.contributor.author	Berry, DW
dc.date.accessioned	2022-09-11T08:50:27Z
dc.date.available	2022-09-11T08:50:27Z
dc.date.issued	2019-04-05
dc.identifier.citation	Physical Review A, 2019, 99, (4), pp. 1-13
dc.identifier.issn	1050-2947
dc.identifier.issn	2469-9934
dc.identifier.uri	http://hdl.handle.net/10453/161656
dc.description.abstract	We provide a general method for efficiently simulating time-dependent Hamiltonian dynamics on a circuit-model-based quantum computer. Our approach is based on approximating the truncated Dyson series of the evolution operator, extending the earlier proposal by Berry et al. [Phys. Rev. Lett. 114, 090502 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.090502] to evolution generated by explicitly time-dependent Hamiltonians. Two alternative strategies are proposed to implement time ordering while exploiting the superposition principle for sampling the Hamiltonian at different times. The resource cost of our simulation algorithm retains the optimal logarithmic dependence on the inverse of the desired precision.
dc.language	English
dc.publisher	American Physical Society
dc.relation.ispartof	Physical Review A
dc.relation.isbasedon	10.1103/PhysRevA.99.042314
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	01 Mathematical Sciences, 02 Physical Sciences, 03 Chemical Sciences
dc.subject.classification	General Physics
dc.title	Simulating the dynamics of time-dependent Hamiltonians with a truncated Dyson series
dc.type	Journal Article
utslib.citation.volume	99
utslib.for	01 Mathematical Sciences
utslib.for	02 Physical Sciences
utslib.for	03 Chemical Sciences
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - QSI - Centre for Quantum Software and Information
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Computer Science
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2022-09-11T08:50:23Z
pubs.issue	4
pubs.publication-status	Published
pubs.volume	99
utslib.citation.issue	4

Abstract:

We provide a general method for efficiently simulating time-dependent Hamiltonian dynamics on a circuit-model-based quantum computer. Our approach is based on approximating the truncated Dyson series of the evolution operator, extending the earlier proposal by Berry et al. [Phys. Rev. Lett. 114, 090502 (2015)PRLTAO0031-900710.1103/PhysRevLett.114.090502] to evolution generated by explicitly time-dependent Hamiltonians. Two alternative strategies are proposed to implement time ordering while exploiting the superposition principle for sampling the Hamiltonian at different times. The resource cost of our simulation algorithm retains the optimal logarithmic dependence on the inverse of the desired precision.

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http://hdl.handle.net/10453/161656