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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Nature Portfolio
2019
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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) |
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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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1718382515380551680 |