On the computational complexity of curing non-stoquastic Hamiltonians

Non-stoquastic Hamiltonians are known to be hard to simulate due to the infamous sign problem. Here, the authors study the computational complexity of transforming such Hamiltonians into stoquastic ones and prove that the task is NP-complete even for the simplest class of transformations.

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Autores principales: Milad Marvian, Daniel A. Lidar, Itay Hen
Formato: article
Lenguaje:EN
Publicado: Nature Portfolio 2019
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Acceso en línea:https://doaj.org/article/96e743e627034c41bbc3b4c77ded3315
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spelling oai:doaj.org-article:96e743e627034c41bbc3b4c77ded33152021-12-02T16:57:40ZOn the computational complexity of curing non-stoquastic Hamiltonians10.1038/s41467-019-09501-62041-1723https://doaj.org/article/96e743e627034c41bbc3b4c77ded33152019-04-01T00:00:00Zhttps://doi.org/10.1038/s41467-019-09501-6https://doaj.org/toc/2041-1723Non-stoquastic Hamiltonians are known to be hard to simulate due to the infamous sign problem. Here, the authors study the computational complexity of transforming such Hamiltonians into stoquastic ones and prove that the task is NP-complete even for the simplest class of transformations.Milad MarvianDaniel A. LidarItay HenNature PortfolioarticleScienceQENNature Communications, Vol 10, Iss 1, Pp 1-9 (2019)
institution DOAJ
collection DOAJ
language EN
topic Science
Q
spellingShingle Science
Q
Milad Marvian
Daniel A. Lidar
Itay Hen
On the computational complexity of curing non-stoquastic Hamiltonians
description Non-stoquastic Hamiltonians are known to be hard to simulate due to the infamous sign problem. Here, the authors study the computational complexity of transforming such Hamiltonians into stoquastic ones and prove that the task is NP-complete even for the simplest class of transformations.
format article
author Milad Marvian
Daniel A. Lidar
Itay Hen
author_facet Milad Marvian
Daniel A. Lidar
Itay Hen
author_sort Milad Marvian
title On the computational complexity of curing non-stoquastic Hamiltonians
title_short On the computational complexity of curing non-stoquastic Hamiltonians
title_full On the computational complexity of curing non-stoquastic Hamiltonians
title_fullStr On the computational complexity of curing non-stoquastic Hamiltonians
title_full_unstemmed On the computational complexity of curing non-stoquastic Hamiltonians
title_sort on the computational complexity of curing non-stoquastic hamiltonians
publisher Nature Portfolio
publishDate 2019
url https://doaj.org/article/96e743e627034c41bbc3b4c77ded3315
work_keys_str_mv AT miladmarvian onthecomputationalcomplexityofcuringnonstoquastichamiltonians
AT danielalidar onthecomputationalcomplexityofcuringnonstoquastichamiltonians
AT itayhen onthecomputationalcomplexityofcuringnonstoquastichamiltonians
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