Parallel quantum simulation of large systems on small NISQ computers

Abstract Tensor networks permit computational and entanglement resources to be concentrated in interesting regions of Hilbert space. Implemented on NISQ machines they allow simulation of quantum systems that are much larger than the computational machine itself. This is achieved by parallelising the...

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Autores principales:	F. Barratt, James Dborin, Matthias Bal, Vid Stojevic, Frank Pollmann, A. G. Green
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
Acceso en línea:	https://doaj.org/article/a910ed924cf84970b8feaf93fd283e2f
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id	oai:doaj.org-article:a910ed924cf84970b8feaf93fd283e2f
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spelling	oai:doaj.org-article:a910ed924cf84970b8feaf93fd283e2f2021-12-02T16:53:03ZParallel quantum simulation of large systems on small NISQ computers10.1038/s41534-021-00420-32056-6387https://doaj.org/article/a910ed924cf84970b8feaf93fd283e2f2021-05-01T00:00:00Zhttps://doi.org/10.1038/s41534-021-00420-3https://doaj.org/toc/2056-6387Abstract Tensor networks permit computational and entanglement resources to be concentrated in interesting regions of Hilbert space. Implemented on NISQ machines they allow simulation of quantum systems that are much larger than the computational machine itself. This is achieved by parallelising the quantum simulation. Here, we demonstrate this in the simplest case; an infinite, translationally invariant quantum spin chain. We provide Cirq and Qiskit code that translates infinite, translationally invariant matrix product state (iMPS) algorithms to finite-depth quantum circuit machines, allowing the representation, optimisation and evolution of arbitrary one-dimensional systems. The illustrative simulated output of these codes for achievable circuit sizes is given.F. BarrattJames DborinMatthias BalVid StojevicFrank PollmannA. G. GreenNature PortfolioarticlePhysicsQC1-999Electronic computers. Computer scienceQA75.5-76.95ENnpj Quantum Information, Vol 7, Iss 1, Pp 1-7 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95
spellingShingle	Physics QC1-999 Electronic computers. Computer science QA75.5-76.95 F. Barratt James Dborin Matthias Bal Vid Stojevic Frank Pollmann A. G. Green Parallel quantum simulation of large systems on small NISQ computers
description	Abstract Tensor networks permit computational and entanglement resources to be concentrated in interesting regions of Hilbert space. Implemented on NISQ machines they allow simulation of quantum systems that are much larger than the computational machine itself. This is achieved by parallelising the quantum simulation. Here, we demonstrate this in the simplest case; an infinite, translationally invariant quantum spin chain. We provide Cirq and Qiskit code that translates infinite, translationally invariant matrix product state (iMPS) algorithms to finite-depth quantum circuit machines, allowing the representation, optimisation and evolution of arbitrary one-dimensional systems. The illustrative simulated output of these codes for achievable circuit sizes is given.
format	article
author	F. Barratt James Dborin Matthias Bal Vid Stojevic Frank Pollmann A. G. Green
author_facet	F. Barratt James Dborin Matthias Bal Vid Stojevic Frank Pollmann A. G. Green
author_sort	F. Barratt
title	Parallel quantum simulation of large systems on small NISQ computers
title_short	Parallel quantum simulation of large systems on small NISQ computers
title_full	Parallel quantum simulation of large systems on small NISQ computers
title_fullStr	Parallel quantum simulation of large systems on small NISQ computers
title_full_unstemmed	Parallel quantum simulation of large systems on small NISQ computers
title_sort	parallel quantum simulation of large systems on small nisq computers
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/a910ed924cf84970b8feaf93fd283e2f
work_keys_str_mv	AT fbarratt parallelquantumsimulationoflargesystemsonsmallnisqcomputers AT jamesdborin parallelquantumsimulationoflargesystemsonsmallnisqcomputers AT matthiasbal parallelquantumsimulationoflargesystemsonsmallnisqcomputers AT vidstojevic parallelquantumsimulationoflargesystemsonsmallnisqcomputers AT frankpollmann parallelquantumsimulationoflargesystemsonsmallnisqcomputers AT aggreen parallelquantumsimulationoflargesystemsonsmallnisqcomputers
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Parallel quantum simulation of large systems on small NISQ computers

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