On the computational complexity of curing non-stoquastic Hamiltonians

Quantum many-body systems whose Hamiltonians are non-stoquastic, i.e., have positive off-diagonal matrix elements in a given basis, are known to pose severe limitations on the efficiency of Quantum Monte Carlo algorithms designed to simulate them, due to the infamous sign problem. We study the compu...

Celý popis

Uloženo v:

Podrobná bibliografie
Vydáno v:	Nature communications Ročník 10; číslo 1; s. 1571 - 9
Hlavní autoři:	Marvian, Milad, Lidar, Daniel A., Hen, Itay
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	London Nature Publishing Group UK 05.04.2019 Nature Publishing Group Nature Portfolio
Témata:	639/766/483 639/766/483/3926 639/766/483/481 639/766/483/640 Algorithms Complexity Computation Computer applications Computer simulation Curing Decomposition Humanities and Social Sciences multidisciplinary Qubits (quantum computing) Science Science (multidisciplinary)
ISSN:	2041-1723, 2041-1723
On-line přístup:	Získat plný text
Tagy:	Přidat tag Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!

Abstract	Quantum many-body systems whose Hamiltonians are non-stoquastic, i.e., have positive off-diagonal matrix elements in a given basis, are known to pose severe limitations on the efficiency of Quantum Monte Carlo algorithms designed to simulate them, due to the infamous sign problem. We study the computational complexity associated with ‘curing’ non-stoquastic Hamiltonians, i.e., transforming them into sign-problem-free ones. We prove that if such transformations are limited to single-qubit Clifford group elements or general single-qubit orthogonal matrices, finding the curing transformation is NP-complete. We discuss the implications of this result. 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.
AbstractList	Quantum many-body systems whose Hamiltonians are non-stoquastic, i.e., have positive off-diagonal matrix elements in a given basis, are known to pose severe limitations on the efficiency of Quantum Monte Carlo algorithms designed to simulate them, due to the infamous sign problem. We study the computational complexity associated with 'curing' non-stoquastic Hamiltonians, i.e., transforming them into sign-problem-free ones. We prove that if such transformations are limited to single-qubit Clifford group elements or general single-qubit orthogonal matrices, finding the curing transformation is NP-complete. We discuss the implications of this result.Quantum many-body systems whose Hamiltonians are non-stoquastic, i.e., have positive off-diagonal matrix elements in a given basis, are known to pose severe limitations on the efficiency of Quantum Monte Carlo algorithms designed to simulate them, due to the infamous sign problem. We study the computational complexity associated with 'curing' non-stoquastic Hamiltonians, i.e., transforming them into sign-problem-free ones. We prove that if such transformations are limited to single-qubit Clifford group elements or general single-qubit orthogonal matrices, finding the curing transformation is NP-complete. We discuss the implications of this result. Quantum many-body systems whose Hamiltonians are non-stoquastic, i.e., have positive off-diagonal matrix elements in a given basis, are known to pose severe limitations on the efficiency of Quantum Monte Carlo algorithms designed to simulate them, due to the infamous sign problem. We study the computational complexity associated with ‘curing’ non-stoquastic Hamiltonians, i.e., transforming them into sign-problem-free ones. We prove that if such transformations are limited to single-qubit Clifford group elements or general single-qubit orthogonal matrices, finding the curing transformation is NP-complete. We discuss the implications of this result. 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. 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. Quantum many-body systems whose Hamiltonians are non-stoquastic, i.e., have positive off-diagonal matrix elements in a given basis, are known to pose severe limitations on the efficiency of Quantum Monte Carlo algorithms designed to simulate them, due to the infamous sign problem. We study the computational complexity associated with ‘curing’ non-stoquastic Hamiltonians, i.e., transforming them into sign-problem-free ones. We prove that if such transformations are limited to single-qubit Clifford group elements or general single-qubit orthogonal matrices, finding the curing transformation is NP-complete. We discuss the implications of this result. 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. Quantum many-body systems whose Hamiltonians are non-stoquastic, i.e., have positive off-diagonal matrix elements in a given basis, are known to pose severe limitations on the efficiency of Quantum Monte Carlo algorithms designed to simulate them, due to the infamous sign problem. We study the computational complexity associated with 'curing' non-stoquastic Hamiltonians, i.e., transforming them into sign-problem-free ones. We prove that if such transformations are limited to single-qubit Clifford group elements or general single-qubit orthogonal matrices, finding the curing transformation is NP-complete. We discuss the implications of this result.
ArticleNumber	1571
Author	Lidar, Daniel A. Hen, Itay Marvian, Milad
Author_xml	– sequence: 1 givenname: Milad surname: Marvian fullname: Marvian, Milad email: mmarvian@mit.edu organization: Research Laboratory of Electronics, Massachusetts Institute of Technology, Department of Electrical and Computer Engineering, University of Southern California, Center for Quantum Information Science & Technology, University of Southern California – sequence: 2 givenname: Daniel A. surname: Lidar fullname: Lidar, Daniel A. organization: Department of Electrical and Computer Engineering, University of Southern California, Center for Quantum Information Science & Technology, University of Southern California, Department of Physics and Astronomy, University of Southern California, Department of Chemistry, University of Southern California – sequence: 3 givenname: Itay orcidid: 0000-0002-7009-7739 surname: Hen fullname: Hen, Itay organization: Center for Quantum Information Science & Technology, University of Southern California, Department of Physics and Astronomy, University of Southern California, Information Sciences Institute, University of Southern California
BackLink	https://www.ncbi.nlm.nih.gov/pubmed/30952854$$D View this record in MEDLINE/PubMed
BookMark	eNp9kktv3CAUhVGVqknT_IEuKkvddOMUuBjMplIVpU2kSNm0a4QBTxh5YAq4Sv59mXHSPBZhw-ueT0f3nvfoIMTgEPpI8CnB0H_NjDAuWkxki2WHScvfoCOKGWmJoHDw5HyITnJe47pAkp6xd-gQqoT2HTtC59ehKTeuMXGznYsuPgY97W-Tu_XlroljY-bkw6qpBtpc4p9Z5-JNc6E3fioxeB3yB_R21FN2J_f7Mfr94_zX2UV7df3z8uz7VWs45qU12tIBOjliYgUdBs0GazkmpoPeacmYtZhBx4x0WlM8Cg7SSSC2t8IITOEYXS5cG_VabZPf6HSnovZq_xDTSulUzU1OSe4EA8epwMAMI8NgYGBGCOssAOkq69vC2s7DxlnjQkl6egZ9_hP8jVrFv4qzDkvoK-DLPSDVprhc1MZn46ZJBxfnrGidAJcdozvfn1-UruOcaqf3VSAAU74Dfnrq6L-Vh2nVgn4pMCnmnNyojF9mVg36SRGsdtlQSzZUzYbaZ0PxKqUvpA_0V0WwiPJ2lwCXHm2_ovoHgSHLYw
CitedBy_id	crossref_primary_10_1103_PhysRevA_105_062601 crossref_primary_10_1103_PhysRevResearch_4_043221 crossref_primary_10_1088_1361_6633_ac8c54 crossref_primary_10_1103_PhysRevA_104_052616 crossref_primary_10_1088_1742_5468_ab9e64 crossref_primary_10_1145_3639528_3639535 crossref_primary_10_1088_1361_6633_ab85b8 crossref_primary_10_1103_PhysRevResearch_2_032060 crossref_primary_10_1103_PhysRevB_107_245144 crossref_primary_10_1103_PhysRevApplied_13_034037 crossref_primary_10_1002_qute_201900108 crossref_primary_10_1088_1742_5468_abc7c7 crossref_primary_10_1103_PhysRevResearch_2_033515 crossref_primary_10_1103_PhysRevResearch_3_023080 crossref_primary_10_1109_ACCESS_2023_3323847 crossref_primary_10_1073_pnas_2006103117 crossref_primary_10_1103_PhysRevB_106_214416 crossref_primary_10_1103_PhysRevResearch_2_043032 crossref_primary_10_1103_PhysRevResearch_3_043013 crossref_primary_10_22331_q_2025_07_09_1788 crossref_primary_10_1103_jt8s_hzhd crossref_primary_10_1088_2058_9565_ac16b8 crossref_primary_10_1103_PRXQuantum_6_020312 crossref_primary_10_1088_1367_2630_ab2ee7 crossref_primary_10_1103_PhysRevA_101_012310 crossref_primary_10_1016_j_future_2024_06_012
Cites_doi	10.1017/CBO9780511614460 10.1103/PhysRevB.89.134422 10.1103/PhysRevE.97.043303 10.1103/PhysRevLett.94.170201 10.1103/PhysRevA.92.042325 10.1088/0305-4470/15/10/028 10.1016/0166-218X(84)90081-7 10.1137/140998287 10.1103/PhysRevB.93.054408 10.1103/PhysRevB.41.9301 10.1137/08072689X 10.1063/1.4936216 10.1103/PhysRevLett.117.197203 10.1093/oso/9780198517962.001.0001 10.1007/978-1-4684-2001-2_9
ContentType	Journal Article
Copyright	The Author(s) 2019 The Author(s) 2019. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
Copyright_xml	– notice: The Author(s) 2019 – notice: The Author(s) 2019. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.
DBID	C6C AAYXX CITATION NPM 3V. 7QL 7QP 7QR 7SN 7SS 7ST 7T5 7T7 7TM 7TO 7X7 7XB 88E 8AO 8FD 8FE 8FG 8FH 8FI 8FJ 8FK ABUWG AEUYN AFKRA ARAPS AZQEC BBNVY BENPR BGLVJ BHPHI C1K CCPQU DWQXO FR3 FYUFA GHDGH GNUQQ H94 HCIFZ K9. LK8 M0S M1P M7P P5Z P62 P64 PHGZM PHGZT PIMPY PJZUB PKEHL PPXIY PQEST PQGLB PQQKQ PQUKI RC3 SOI 7X8 5PM DOA
DOI	10.1038/s41467-019-09501-6
DatabaseName	Springer Nature OA Free Journals CrossRef PubMed ProQuest Central (Corporate) Bacteriology Abstracts (Microbiology B) Calcium & Calcified Tissue Abstracts Chemoreception Abstracts Ecology Abstracts Entomology Abstracts (Full archive) Environment Abstracts Immunology Abstracts Industrial and Applied Microbiology Abstracts (Microbiology A) Nucleic Acids Abstracts Oncogenes and Growth Factors Abstracts Health & Medical Collection ProQuest Central (purchase pre-March 2016) Medical Database (Alumni Edition) ProQuest Pharma Collection Technology Research Database ProQuest SciTech Collection ProQuest Technology Collection ProQuest Natural Science Collection Hospital Premium Collection Hospital Premium Collection (Alumni Edition) ProQuest Central (Alumni) (purchase pre-March 2016) ProQuest Central (Alumni) ProQuest One Sustainability ProQuest Central UK/Ireland Advanced Technologies & Computer Science Collection ProQuest Central Essentials Biological Science Database ProQuest Central Technology collection Natural Science Collection Environmental Sciences and Pollution Management ProQuest One Community College ProQuest Central Korea Engineering Research Database Health Research Premium Collection Health Research Premium Collection (Alumni) ProQuest Central Student AIDS and Cancer Research Abstracts SciTech Premium Collection ProQuest Health & Medical Complete (Alumni) ProQuest Biological Science Collection Health & Medical Collection (Alumni Edition) PML(ProQuest Medical Library) Biological Science Database Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection Biotechnology and BioEngineering Abstracts ProQuest Central Premium ProQuest One Academic ProQuest Publicly Available Content ProQuest Health & Medical Research Collection ProQuest One Academic Middle East (New) ProQuest One Health & Nursing ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic (retired) ProQuest One Academic UKI Edition Genetics Abstracts Environment Abstracts MEDLINE - Academic PubMed Central (Full Participant titles) DOAJ Directory of Open Access Journals
DatabaseTitle	CrossRef PubMed Publicly Available Content Database ProQuest Central Student Oncogenes and Growth Factors Abstracts ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials Nucleic Acids Abstracts SciTech Premium Collection Environmental Sciences and Pollution Management ProQuest One Applied & Life Sciences ProQuest One Sustainability Health Research Premium Collection Natural Science Collection Health & Medical Research Collection Biological Science Collection Chemoreception Abstracts Industrial and Applied Microbiology Abstracts (Microbiology A) ProQuest Central (New) ProQuest Medical Library (Alumni) Advanced Technologies & Aerospace Collection ProQuest Biological Science Collection ProQuest One Academic Eastern Edition ProQuest Hospital Collection ProQuest Technology Collection Health Research Premium Collection (Alumni) Biological Science Database Ecology Abstracts ProQuest Hospital Collection (Alumni) Biotechnology and BioEngineering Abstracts Entomology Abstracts ProQuest Health & Medical Complete ProQuest One Academic UKI Edition Engineering Research Database ProQuest One Academic Calcium & Calcified Tissue Abstracts ProQuest One Academic (New) Technology Collection Technology Research Database ProQuest One Academic Middle East (New) ProQuest Health & Medical Complete (Alumni) ProQuest Central (Alumni Edition) ProQuest One Community College ProQuest One Health & Nursing ProQuest Natural Science Collection ProQuest Pharma Collection ProQuest Central ProQuest Health & Medical Research Collection Genetics Abstracts Health and Medicine Complete (Alumni Edition) ProQuest Central Korea Bacteriology Abstracts (Microbiology B) AIDS and Cancer Research Abstracts ProQuest SciTech Collection Advanced Technologies & Aerospace Database ProQuest Medical Library Immunology Abstracts Environment Abstracts ProQuest Central (Alumni) MEDLINE - Academic
DatabaseTitleList	MEDLINE - Academic PubMed CrossRef Publicly Available Content Database
Database_xml	– sequence: 1 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 2 dbid: NPM name: PubMed url: http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=PubMed sourceTypes: Index Database – sequence: 3 dbid: PIMPY name: Publicly Available Content Database url: http://search.proquest.com/publiccontent sourceTypes: Aggregation Database
DeliveryMethod	fulltext_linktorsrc
Discipline	Biology
EISSN	2041-1723
EndPage	9
ExternalDocumentID	oai_doaj_org_article_96e743e627034c41bbc3b4c77ded3315 PMC6450938 30952854 10_1038_s41467_019_09501_6
Genre	Research Support, U.S. Gov't, Non-P.H.S Journal Article
GroupedDBID	--- 0R~ 39C 3V. 53G 5VS 70F 7X7 88E 8AO 8FE 8FG 8FH 8FI 8FJ AAHBH AAJSJ ABUWG ACGFO ACGFS ACIWK ACMJI ACPRK ACSMW ADBBV ADFRT ADMLS ADRAZ AENEX AEUYN AFKRA AFRAH AHMBA AJTQC ALIPV ALMA_UNASSIGNED_HOLDINGS AMTXH AOIJS ARAPS ASPBG AVWKF AZFZN BBNVY BCNDV BENPR BGLVJ BHPHI BPHCQ BVXVI C6C CCPQU DIK EBLON EBS EE. EMOBN F5P FEDTE FYUFA GROUPED_DOAJ HCIFZ HMCUK HVGLF HYE HZ~ KQ8 LK8 M1P M48 M7P M~E NAO O9- OK1 P2P P62 PIMPY PQQKQ PROAC PSQYO RNS RNT RNTTT RPM SNYQT SV3 TSG UKHRP AASML AAYXX AFFHD CITATION PHGZM PHGZT PJZUB PPXIY PQGLB NPM 7QL 7QP 7QR 7SN 7SS 7ST 7T5 7T7 7TM 7TO 7XB 8FD 8FK AZQEC C1K DWQXO FR3 GNUQQ H94 K9. P64 PKEHL PQEST PQUKI RC3 SOI 7X8 PUEGO 5PM
ID	FETCH-LOGICAL-c606t-cad2b359f01d72bba4bdd601c538ea944dd04354c9eaa20f7639e931d8d7c7023
IEDL.DBID	DOA
ISICitedReferencesCount	45
ISICitedReferencesURI	http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000463472200016&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
ISSN	2041-1723
IngestDate	Fri Oct 03 12:42:18 EDT 2025 Tue Nov 04 01:42:43 EST 2025 Wed Oct 01 13:38:29 EDT 2025 Sat Nov 29 14:32:53 EST 2025 Mon Jul 21 05:44:02 EDT 2025 Sat Nov 29 03:38:04 EST 2025 Tue Nov 18 20:51:36 EST 2025 Fri Feb 21 02:38:55 EST 2025
IsDoiOpenAccess	true
IsOpenAccess	true
IsPeerReviewed	true
IsScholarly	true
Issue	1
Language	English
License	Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.
LinkModel	DirectLink
MergedId	FETCHMERGED-LOGICAL-c606t-cad2b359f01d72bba4bdd601c538ea944dd04354c9eaa20f7639e931d8d7c7023
Notes	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23
ORCID	0000-0002-7009-7739
OpenAccessLink	https://doaj.org/article/96e743e627034c41bbc3b4c77ded3315
PMID	30952854
PQID	2203730268
PQPubID	546298
PageCount	9
ParticipantIDs	doaj_primary_oai_doaj_org_article_96e743e627034c41bbc3b4c77ded3315 pubmedcentral_primary_oai_pubmedcentral_nih_gov_6450938 proquest_miscellaneous_2204695422 proquest_journals_2203730268 pubmed_primary_30952854 crossref_citationtrail_10_1038_s41467_019_09501_6 crossref_primary_10_1038_s41467_019_09501_6 springer_journals_10_1038_s41467_019_09501_6
PublicationCentury	2000
PublicationDate	2019-04-05
PublicationDateYYYYMMDD	2019-04-05
PublicationDate_xml	– month: 04 year: 2019 text: 2019-04-05 day: 05
PublicationDecade	2010
PublicationPlace	London
PublicationPlace_xml	– name: London – name: England
PublicationTitle	Nature communications
PublicationTitleAbbrev	Nat Commun
PublicationTitleAlternate	Nat Commun
PublicationYear	2019
Publisher	Nature Publishing Group UK Nature Publishing Group Nature Portfolio
Publisher_xml	– name: Nature Publishing Group UK – name: Nature Publishing Group – name: Nature Portfolio
References	CR3 Bravyi, DiVincenzo, Oliveira, Terhal (CR4) 2008; 8 Alet, Damle, Pujari (CR10) 2016; 117 CR15 CR14 CR12 Hastings (CR13) 2016; 57 Bravyi, Terhal (CR5) 2009; 39 Okunishi, Harada (CR9) 2014; 89 Tovey (CR16) 1984; 8 Cubitt, Montanaro (CR7) 2016; 45 Hen (CR17) 2015; 92 Loh (CR1) 1990; 41 Honecker (CR11) 2016; 93 Landau, Binder (CR2) 2005 Barahona (CR8) 1982; 15 Hamze (CR18) 2018; 97 Troyer, Wiese (CR6) 2005; 94 EY Loh (9501_CR1) 1990; 41 M Troyer (9501_CR6) 2005; 94 S Bravyi (9501_CR4) 2008; 8 F Alet (9501_CR10) 2016; 117 M Hastings (9501_CR13) 2016; 57 9501_CR15 9501_CR14 D Landau (9501_CR2) 2005 9501_CR12 S Bravyi (9501_CR5) 2009; 39 A Honecker (9501_CR11) 2016; 93 K Okunishi (9501_CR9) 2014; 89 I Hen (9501_CR17) 2015; 92 9501_CR3 CA Tovey (9501_CR16) 1984; 8 F Barahona (9501_CR8) 1982; 15 F Hamze (9501_CR18) 2018; 97 T Cubitt (9501_CR7) 2016; 45
References_xml	– year: 2005 ident: CR2 publication-title: A Guide to Monte Carlo Simulations in Statistical Physics doi: 10.1017/CBO9780511614460 – volume: 89 start-page: 134422 year: 2014 ident: CR9 article-title: Symmetry-protected topological order and negative-sign problem for SO( ) bilinear-biquadratic chains publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.89.134422 – volume: 97 start-page: 043303 year: 2018 ident: CR18 article-title: From near to eternity: spin-glass planting, tiling puzzles, and constraint-satisfaction problems publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.97.043303 – ident: CR3 – ident: CR14 – ident: CR15 – volume: 94 start-page: 170201 year: 2005 ident: CR6 article-title: Computational complexity and fundamental limitations to fermionic quantum monte carlo simulations publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.94.170201 – volume: 92 start-page: 042325 year: 2015 ident: CR17 article-title: Probing for quantum speedup in spin-glass problems with planted solutions publication-title: Phys. Rev. A. doi: 10.1103/PhysRevA.92.042325 – volume: 15 start-page: 3241 year: 1982 ident: CR8 article-title: On the computational complexity of Ising spin glass models publication-title: J. Phys. A: Math. Gen. doi: 10.1088/0305-4470/15/10/028 – ident: CR12 – volume: 8 start-page: 0361 year: 2008 ident: CR4 article-title: The complexity of stoquastic local hamiltonian problems publication-title: Quant. Inf. Comp. – volume: 8 start-page: 85 year: 1984 end-page: 89 ident: CR16 article-title: A simplified np-complete satisfiability problem publication-title: Discret. Appl. Math. doi: 10.1016/0166-218X(84)90081-7 – volume: 45 start-page: 268 year: 2016 end-page: 316 ident: CR7 article-title: Complexity classification of local hamiltonian problems publication-title: SIAM J. Comput. doi: 10.1137/140998287 – volume: 93 start-page: 054408 year: 2016 ident: CR11 article-title: Thermodynamic properties of highly frustrated quantum spin ladders: Influence of many-particle bound states publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.93.054408 – volume: 41 start-page: 9301 year: 1990 end-page: 9307 ident: CR1 article-title: Sign problem in the numerical simulation of many-electron systems publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.41.9301 – volume: 39 start-page: 1462 year: 2009 end-page: 1485 ident: CR5 article-title: Complexity of stoquastic frustration-free hamiltonians publication-title: SIAM J. Comput. doi: 10.1137/08072689X – volume: 57 start-page: 015210 year: 2016 ident: CR13 article-title: How quantum are non-negative wavefunctions? publication-title: J. Math. Phys. doi: 10.1063/1.4936216 – volume: 117 start-page: 197203 year: 2016 ident: CR10 article-title: Sign-problem-free monte carlo simulation of certain frustrated quantum magnets publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.117.197203 – volume: 94 start-page: 170201 year: 2005 ident: 9501_CR6 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.94.170201 – volume: 92 start-page: 042325 year: 2015 ident: 9501_CR17 publication-title: Phys. Rev. A. doi: 10.1103/PhysRevA.92.042325 – volume: 15 start-page: 3241 year: 1982 ident: 9501_CR8 publication-title: J. Phys. A: Math. Gen. doi: 10.1088/0305-4470/15/10/028 – volume: 93 start-page: 054408 year: 2016 ident: 9501_CR11 publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.93.054408 – volume: 89 start-page: 134422 year: 2014 ident: 9501_CR9 publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.89.134422 – ident: 9501_CR3 doi: 10.1093/oso/9780198517962.001.0001 – ident: 9501_CR15 doi: 10.1007/978-1-4684-2001-2_9 – ident: 9501_CR12 – volume: 45 start-page: 268 year: 2016 ident: 9501_CR7 publication-title: SIAM J. Comput. doi: 10.1137/140998287 – ident: 9501_CR14 – volume: 117 start-page: 197203 year: 2016 ident: 9501_CR10 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.117.197203 – volume: 97 start-page: 043303 year: 2018 ident: 9501_CR18 publication-title: Phys. Rev. E doi: 10.1103/PhysRevE.97.043303 – volume: 41 start-page: 9301 year: 1990 ident: 9501_CR1 publication-title: Phys. Rev. B doi: 10.1103/PhysRevB.41.9301 – volume: 8 start-page: 0361 year: 2008 ident: 9501_CR4 publication-title: Quant. Inf. Comp. – volume-title: A Guide to Monte Carlo Simulations in Statistical Physics year: 2005 ident: 9501_CR2 doi: 10.1017/CBO9780511614460 – volume: 39 start-page: 1462 year: 2009 ident: 9501_CR5 publication-title: SIAM J. Comput. doi: 10.1137/08072689X – volume: 8 start-page: 85 year: 1984 ident: 9501_CR16 publication-title: Discret. Appl. Math. doi: 10.1016/0166-218X(84)90081-7 – volume: 57 start-page: 015210 year: 2016 ident: 9501_CR13 publication-title: J. Math. Phys. doi: 10.1063/1.4936216
SSID	ssj0000391844
Score	2.5541468
Snippet	Quantum many-body systems whose Hamiltonians are non-stoquastic, i.e., have positive off-diagonal matrix elements in a given basis, are known to pose severe... Non-stoquastic Hamiltonians are known to be hard to simulate due to the infamous sign problem. Here, the authors study the computational complexity of...
SourceID	doaj pubmedcentral proquest pubmed crossref springer
SourceType	Open Website Open Access Repository Aggregation Database Index Database Enrichment Source Publisher
StartPage	1571
SubjectTerms	639/766/483 639/766/483/3926 639/766/483/481 639/766/483/640 Algorithms Complexity Computation Computer applications Computer simulation Curing Decomposition Humanities and Social Sciences multidisciplinary Qubits (quantum computing) Science Science (multidisciplinary)
SummonAdditionalLinks	– databaseName: Biological Science Database dbid: M7P link: http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1Lb9QwEB5BAYkL5U2goCBxA6uJ7djxCdGqVU-lB5B6s_xKqYSSdrOL1H_P2PGmWh699JjEkceeh8cz9jcAH5xB9fN1RzrVUMK9aYgVhhIavAw1Ex6pT8Um5PFxe3qqTnLAbczHKtc2MRlqP7gYI9-ltGIojVS0ny8uSawaFbOruYTGXbgXURJYOrp3MsdYIvp5y3m-K1OxdnfkyTJU8eaOanAnLTbWowTb_y9f8-8jk3_kTdNydLh924E8hkfZES2_TJLzBO6E_ik8mEpTXj2Dg699ib5h6VLVhxwxTE8RQXN5VQ5dmSL1Z2U_9ARdyMuViZjP5VEMmaBHiXI3Pofvhwff9o9ILrlAHO5klsQZTy1rVFfVXlJrDbfe457NoV0MRnHufYUOFncqGEOrDq2TCorVvvXSSVz_X8AW9hpeQenrxhnBJDe46bExn2mpd0pxylkQVhVQrydeu4xHHsti_NQpL85aPTFLI7N0YpYWBXyc_7mY0DhubL0X-Tm3jEja6cWwONNZMbUSQUaCKJo-7nhtrWOWOyl98IzVTQE7azbqrN6jvuZhAe_nz6iYMdti-jCsUhsuVMMpLeDlJDwzJQwpjFdXC5AbYrVB6uaX_vxHAv8WHF08hv1-WgvgNVn_n4rXN4_iDTykSSc4qZod2FouVuEt3He_lufj4l1Sqt-nPij5 priority: 102 providerName: ProQuest
Title	On the computational complexity of curing non-stoquastic Hamiltonians
URI	https://link.springer.com/article/10.1038/s41467-019-09501-6 https://www.ncbi.nlm.nih.gov/pubmed/30952854 https://www.proquest.com/docview/2203730268 https://www.proquest.com/docview/2204695422 https://pubmed.ncbi.nlm.nih.gov/PMC6450938 https://doaj.org/article/96e743e627034c41bbc3b4c77ded3315
Volume	10
WOSCitedRecordID	wos000463472200016&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D
hasFullText	1
inHoldings	1
isFullTextHit
isPrint
journalDatabaseRights	– providerCode: PRVAON databaseName: DOAJ Directory of Open Access Journals customDbUrl: eissn: 2041-1723 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000391844 issn: 2041-1723 databaseCode: DOA dateStart: 20150101 isFulltext: true titleUrlDefault: https://www.doaj.org/ providerName: Directory of Open Access Journals – providerCode: PRVHPJ databaseName: ROAD: Directory of Open Access Scholarly Resources customDbUrl: eissn: 2041-1723 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000391844 issn: 2041-1723 databaseCode: M~E dateStart: 20100101 isFulltext: true titleUrlDefault: https://road.issn.org providerName: ISSN International Centre – providerCode: PRVPQU databaseName: AAdvanced Technologies & Aerospace Database (subscription) customDbUrl: eissn: 2041-1723 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000391844 issn: 2041-1723 databaseCode: P5Z dateStart: 20100101 isFulltext: true titleUrlDefault: https://search.proquest.com/hightechjournals providerName: ProQuest – providerCode: PRVPQU databaseName: Biological Science Database customDbUrl: eissn: 2041-1723 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000391844 issn: 2041-1723 databaseCode: M7P dateStart: 20100101 isFulltext: true titleUrlDefault: http://search.proquest.com/biologicalscijournals providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest Central customDbUrl: eissn: 2041-1723 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000391844 issn: 2041-1723 databaseCode: BENPR dateStart: 20100101 isFulltext: true titleUrlDefault: https://www.proquest.com/central providerName: ProQuest – providerCode: PRVPQU databaseName: ProQuest_Health & Medical Collection customDbUrl: eissn: 2041-1723 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000391844 issn: 2041-1723 databaseCode: 7X7 dateStart: 20100101 isFulltext: true titleUrlDefault: https://search.proquest.com/healthcomplete providerName: ProQuest – providerCode: PRVPQU databaseName: Publicly Available Content Database customDbUrl: eissn: 2041-1723 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0000391844 issn: 2041-1723 databaseCode: PIMPY dateStart: 20100101 isFulltext: true titleUrlDefault: http://search.proquest.com/publiccontent providerName: ProQuest
link	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrR3LbtQwcAQFpF4qKI-GllWQegOrie3Y8bFFW5UDS1QVaeFi-ZVSqdo-drdS_56xk912eV64WErsKKN5ecbjmQHYdQbFz5ctaVVFCfemIlYYSmjwMpRMeIQ-NZuQo1E9HqvmXquveCesKw_cIW5PiYCbXBAUWZM7XlrrmOVOSh88Yym9nKLVc8-ZSjqYKXRdeJ8lU7B6b8qTTihizo6q0IcWKztRKtj_Oyvz18uSP0VM00Z0-BQ2egsy3-8gfwYPwmQTnnQ9JW-fw_DzJEejLnepXUN_1JeeYunL2W1-0ebpiP00R8-foO13NTexWHN-FM860BREhpm-gC-Hw5MPR6TvlUAcuiAz4oynllWqLUovqbWGW-_R2XKo0IJRnHtfoGXEnQrG0KJFtaKCYqWvvXQSN-6XsIZ_DVuQ-7JyRjDJDXorNgYiLfVOKU4jHazKoFzgTbu-kHjsZ3GuU0Cb1brDtUZc64RrLTJ4t_zmsiuj8dfVB5Ecy5WxBHZ6gYyhe8bQ_2KMDHYWxNS9XE41pQVDnUZFncHb5TRKVAyTmEm4mKc1XKiKU5rBq472S0gYQhhzTjOQK1yxAurqzOTse6raLTjaZgz_-37BP3dg_RkVr_8HKrZhnSbG56SodmBtdj0Pb-Cxu5mdTa8H8FCOZRrrATw6GI6a40GSpkG8CNvg2FTfcKb5-Kn5-gMAVCG9
linkProvider	Directory of Open Access Journals
linkToHtml	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB5VBQQX3o9AgSDBCaImthPHB4R4tNqqZemhSL0Zv1IqoaTd7IL2T_EbGTuPann01gPHJI48tr8Zf_bYMwDPjUL1s1mVVCInCbMqT3ShSEKc5S6jhUXpQ7IJPp2Wh4difw1-Dndh_LHKwSYGQ20b4_fINwlJKaKRFOWbk9PEZ43y3tUhhUYHi123_IFLtvb1zgcc3xeEbG8dvJ8kfVaBxCBZnydGWaJpLqo0s5xorZi2FpclBlXfKcGYtSlyCGaEU4qkFSqgcIJmtrTc8BDoAE3-JaQRpAxHBffHPR0fbb1krL-bk9Jys2XBEqX-ppDIceVerMx_IU3A37jtn0c0f_PThulv-8b_1nE34XpPtOO3nWbcgjVX34YrXerN5R3Y-lTHyH1jE7Ja9Dui4clHCJ0v46aKgyfiKK6bOkGKfLpQPqZ1PPFbQsiYUa_au_D5QtpwD9axVvcAYpvlRhWUM4WLOu39tZpYIwQjjLpCiwiyYaCl6eOt-7Qf32Tw-9NSduCQCA4ZwCGLCF6O_5x00UbOLf3O42cs6SOFhxfN7Ej2hkeKwnEvEEHTzgzLtDZUM8O5dZbSLI9gY4CN7M1XK88wE8Gz8TMaHu9NUrVrFqEMK0TOCIngfgfWURKKEvqruRHwFRiviLr6pT7-GoKbFwwpLMV6Xw2APxPr313x8PxWPIWrk4OPe3JvZ7r7CK6RoI8sSfMNWJ_PFu4xXDbf58ft7ElQ6Bi-XLQi_AKBOYaM
linkToPdf	http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMw1V1Lb9QwEB5V5SEuvKGBAkGCE0Sb2E4cHxAC2lWromUPIPVm_EqpVCXtZhe0f41fx9hJtloevfXAcTeOMkm--TL2jL8BeGEUup_NqqQSOUmYVXmiC0US4ix3GS0sWh-aTfDJpDw8FNMN-DnshfFllQMnBqK2jfFr5CNCUopoJEU5qvqyiOnO-O3pWeI7SPlM69BOo4PIgVv-wOlb-2Z_B9_1S0LGu58_7CV9h4HEYOA-T4yyRNNcVGlmOdFaMW0tTlEM0oBTgjFrU4wnmBFOKZJW6IzCCZrZ0nLDg-gB0v8V7kXLQ9ngdLW-45XXS8b6fTopLUctC6yU-l1DIsdZfLH2LQwtA_4W5_5ZrvlbzjZ8Cse3_ueHeBtu9gF4_K7zmDuw4eq7cK1rybm8B7uf6hhj4tiEbhf9Smn45ZVD58u4qeKQoTiK66ZOMHQ-WyivdR3v-aUijKTR39r78OVS7uEBbOJV3RbENsuNKihnCid72udxNbFGCEYYdYUWEWTDS5em12H37UBOZKgHoKXsgCIRKDIARRYRvFqdc9qpkFw4-r3H0mqkVxAPfzSzI9kTkhSF494ggpTPDMu0NlQzw7l1ltIsj2B7gJDsaa2V5_iJ4PnqMBKSzzKp2jWLMIYVImeERPCwA-7KEooW-i27EfA1SK-Zun6kPv4WRM8LhqEtxeu-HsB_bta_H8Wji-_iGVxH_MuP-5ODx3CDBNdkSZpvw-Z8tnBP4Kr5Pj9uZ0-Db8fw9bL94BftwI9J
openUrl	ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=On+the+computational+complexity+of+curing+non-stoquastic+Hamiltonians&rft.jtitle=Nature+communications&rft.au=Marvian%2C+Milad&rft.au=Lidar%2C+Daniel+A&rft.au=Hen%2C+Itay&rft.date=2019-04-05&rft.eissn=2041-1723&rft.volume=10&rft.issue=1&rft.spage=1571&rft_id=info:doi/10.1038%2Fs41467-019-09501-6&rft_id=info%3Apmid%2F30952854&rft.externalDocID=30952854
thumbnail_l	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=2041-1723&client=summon
thumbnail_m	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=2041-1723&client=summon
thumbnail_s	http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=2041-1723&client=summon