Massively parallel implementation and approaches to simulate quantum dynamics using Krylov subspace techniques
We have developed an application and implemented parallel algorithms in order to provide a computational framework suitable for massively parallel supercomputers to study the unitary dynamics of quantum systems. We use renowned parallel libraries such as PETSc/SLEPc combined with high-performance co...
Uloženo v:
| Vydáno v: | Computer physics communications Ročník 235; s. 477 - 488 |
|---|---|
| Hlavní autoři: | , , , |
| Médium: | Journal Article |
| Jazyk: | angličtina |
| Vydáno: |
Elsevier B.V
01.02.2019
|
| Témata: | |
| ISSN: | 0010-4655, 1879-2944 |
| On-line přístup: | Získat plný text |
| Tagy: |
Přidat tag
Žádné tagy, Buďte první, kdo vytvoří štítek k tomuto záznamu!
|
| Abstract | We have developed an application and implemented parallel algorithms in order to provide a computational framework suitable for massively parallel supercomputers to study the unitary dynamics of quantum systems. We use renowned parallel libraries such as PETSc/SLEPc combined with high-performance computing approaches in order to overcome the large memory requirements to be able to study systems whose Hilbert space dimension comprises over 9 billion independent quantum states. Moreover, we provide descriptions of the parallel approach used for the three most important stages of the simulation: handling the Hilbert subspace basis, constructing a matrix representation for a generic Hamiltonian operator and the time evolution of the system by means of the Krylov subspace methods. We employ our setup to study the evolution of quasidisordered and clean many-body systems, focussing on the return probability and related dynamical exponents: the large system sizes accessible provide novel insights into their thermalization properties.
Program Title: DSQMKryST
Program Files doi:http://dx.doi.org/10.17632/f6vty3wkwj.1
Licensing provisions: BSD 3-clause
Programming language: C++
Supplementary material:https://github.com/mbrenesn/DSQMKryST
External routines/libraries: PETSc (https://www.mcs.anl.gov/petsc/), SLEPc (http://slepc.upv.es), Boost C++ (http://www.boost.org)
Nature of problem: Unitary dynamics of quantum mechanical many-body systems
Solution method: Krylov subspace techniques (Arnoldi procedure) with a massively parallel, distributed memory approach |
|---|---|
| AbstractList | We have developed an application and implemented parallel algorithms in order to provide a computational framework suitable for massively parallel supercomputers to study the unitary dynamics of quantum systems. We use renowned parallel libraries such as PETSc/SLEPc combined with high-performance computing approaches in order to overcome the large memory requirements to be able to study systems whose Hilbert space dimension comprises over 9 billion independent quantum states. Moreover, we provide descriptions of the parallel approach used for the three most important stages of the simulation: handling the Hilbert subspace basis, constructing a matrix representation for a generic Hamiltonian operator and the time evolution of the system by means of the Krylov subspace methods. We employ our setup to study the evolution of quasidisordered and clean many-body systems, focussing on the return probability and related dynamical exponents: the large system sizes accessible provide novel insights into their thermalization properties.
Program Title: DSQMKryST
Program Files doi:http://dx.doi.org/10.17632/f6vty3wkwj.1
Licensing provisions: BSD 3-clause
Programming language: C++
Supplementary material:https://github.com/mbrenesn/DSQMKryST
External routines/libraries: PETSc (https://www.mcs.anl.gov/petsc/), SLEPc (http://slepc.upv.es), Boost C++ (http://www.boost.org)
Nature of problem: Unitary dynamics of quantum mechanical many-body systems
Solution method: Krylov subspace techniques (Arnoldi procedure) with a massively parallel, distributed memory approach |
| Author | Scardicchio, Antonello Girotto, Ivan Varma, Vipin Kerala Brenes, Marlon |
| Author_xml | – sequence: 1 givenname: Marlon surname: Brenes fullname: Brenes, Marlon email: brenesnm@tcd.ie organization: The Abdus Salam ICTP, Strada Costiera 11, 34151 Trieste, Italy – sequence: 2 givenname: Vipin Kerala surname: Varma fullname: Varma, Vipin Kerala organization: The Abdus Salam ICTP, Strada Costiera 11, 34151 Trieste, Italy – sequence: 3 givenname: Antonello surname: Scardicchio fullname: Scardicchio, Antonello organization: The Abdus Salam ICTP, Strada Costiera 11, 34151 Trieste, Italy – sequence: 4 givenname: Ivan surname: Girotto fullname: Girotto, Ivan organization: The Abdus Salam ICTP, Strada Costiera 11, 34151 Trieste, Italy |
| BookMark | eNp9kN1KxDAQhYMouP48gHd5ga6Tttu0eCXiHyre6HWYnU41S5rWJF3Yt7eyXnkhHBgY-A6c70Qc-sGzEBcKlgpUdblZ0kjLHFS9hDkKDsRC1brJ8qYsD8UC5ldWVqvVsTiJcQMAWjfFQvgXjNFu2e3kiAGdYydtPzru2SdMdvASfStxHMOA9MlRpkFG208OE8uvCX2aetnuPPaWopyi9R_yKezcsJVxWscRiWVi-vT2a-J4Jo46dJHPf--peL-7fbt5yJ5f7x9vrp8zyhudshVSCR0gNkWdqxZ1vSqwaVXR6aqitijVeq3LuqkrpYsGa1gT6bxTFSpFAHlxKvS-l8IQY-DOkN3PSQGtMwrMjzazMbM286PNwBwFM6n-kGOwPYbdv8zVnuF50tZyMJEse-LWBqZk2sH-Q38Dcx-KfA |
| CitedBy_id | crossref_primary_10_1088_1361_6633_ad9756 crossref_primary_10_3390_e22101133 crossref_primary_10_1134_S1995080220080120 crossref_primary_10_1038_s41598_024_53246_2 crossref_primary_10_1103_PhysRevB_105_L060303 crossref_primary_10_1016_j_cpc_2022_108374 crossref_primary_10_1038_s41467_024_50750_x crossref_primary_10_1038_s41570_022_00424_3 |
| Cites_doi | 10.1137/0729014 10.1126/science.1130886 10.1146/annurev-conmatphys-031214-014726 10.1038/nature18318 10.1103/PhysRevLett.81.3108 10.1146/annurev.pc.45.100194.001045 10.1038/nphys3215 10.1137/S0895479895292400 10.1016/j.apnum.2010.03.001 10.1016/j.aop.2005.11.014 10.1038/nature07279 10.1103/PhysRevLett.117.040601 10.1103/PhysRevLett.69.695 10.1103/RevModPhys.83.1405 10.1103/PhysRevLett.111.127201 10.1103/PhysRevA.94.041603 10.1016/j.laa.2009.03.006 10.1063/1.2178027 10.1103/PhysRevA.43.2046 10.1016/j.nuclphysb.2014.12.014 10.1137/S0036142995280572 10.1145/1089014.1089019 10.1145/285861.285868 10.1137/050633846 10.1103/PhysRevA.95.013604 |
| ContentType | Journal Article |
| Copyright | 2018 Elsevier B.V. |
| Copyright_xml | – notice: 2018 Elsevier B.V. |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.cpc.2018.08.010 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 1879-2944 |
| EndPage | 488 |
| ExternalDocumentID | 10_1016_j_cpc_2018_08_010 S0010465518303060 |
| GroupedDBID | --K --M -~X .DC .~1 0R~ 1B1 1RT 1~. 1~5 29F 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AARLI AAXUO AAYFN ABBOA ABFNM ABMAC ABNEU ABQEM ABQYD ABXDB ABYKQ ACDAQ ACFVG ACGFS ACLVX ACNNM ACRLP ACSBN ACZNC ADBBV ADECG ADEZE ADJOM ADMUD AEBSH AEKER AENEX AFKWA AFTJW AFZHZ AGHFR AGUBO AGYEJ AHHHB AHZHX AI. AIALX AIEXJ AIKHN AITUG AIVDX AJBFU AJOXV AJSZI ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ AOUOD ASPBG ATOGT AVWKF AXJTR AZFZN BBWZM BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FLBIZ FNPLU FYGXN G-2 G-Q GBLVA GBOLZ HLZ HME HMV HVGLF HZ~ IHE IMUCA J1W KOM LG9 LZ4 M38 M41 MO0 N9A NDZJH O-L O9- OAUVE OGIMB OZT P-8 P-9 P2P PC. Q38 R2- RIG ROL RPZ SBC SCB SDF SDG SES SEW SHN SPC SPCBC SPD SPG SSE SSK SSQ SSV SSZ T5K TN5 UPT VH1 WUQ ZMT ~02 ~G- 9DU AATTM AAXKI AAYWO AAYXX ABJNI ABWVN ACLOT ACRPL ACVFH ADCNI ADNMO AEIPS AEUPX AFJKZ AFPUW AGQPQ AIGII AIIUN AKBMS AKRWK AKYEP ANKPU APXCP CITATION EFKBS ~HD |
| ID | FETCH-LOGICAL-c297t-5ac40f0aa93821da7853a9d13f766cd341bb7489861739a80bcc72f16a11c0023 |
| ISICitedReferencesCount | 13 |
| ISICitedReferencesURI | http://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=Summon&SrcAuth=ProQuest&DestLinkType=CitingArticles&DestApp=WOS_CPL&KeyUT=000451491100044&url=https%3A%2F%2Fcvtisr.summon.serialssolutions.com%2F%23%21%2Fsearch%3Fho%3Df%26include.ft.matches%3Dt%26l%3Dnull%26q%3D |
| ISSN | 0010-4655 |
| IngestDate | Tue Nov 18 22:43:40 EST 2025 Sat Nov 29 07:30:57 EST 2025 Fri Feb 23 02:49:14 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Unitary quantum dynamics Strongly interacting systems Krylov subspace methods Distributed memory parallelism |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c297t-5ac40f0aa93821da7853a9d13f766cd341bb7489861739a80bcc72f16a11c0023 |
| PageCount | 12 |
| ParticipantIDs | crossref_citationtrail_10_1016_j_cpc_2018_08_010 crossref_primary_10_1016_j_cpc_2018_08_010 elsevier_sciencedirect_doi_10_1016_j_cpc_2018_08_010 |
| PublicationCentury | 2000 |
| PublicationDate | February 2019 2019-02-00 |
| PublicationDateYYYYMMDD | 2019-02-01 |
| PublicationDate_xml | – month: 02 year: 2019 text: February 2019 |
| PublicationDecade | 2010 |
| PublicationTitle | Computer physics communications |
| PublicationYear | 2019 |
| Publisher | Elsevier B.V |
| Publisher_xml | – name: Elsevier B.V |
| References | Fehske, Schneider, Weisse (b14) 2008 Ketzmerick, Petschel, Geisel (b36) 1992; 69 Boost, Boost C++ Libraries, 2016. Jaksch, Bruder, Cirac, Gardiner, Zoller (b1) 1998; 81 Steffen, Ansmann, Bialczak, Katz, Lucero, McDermott, Neeley, Weig, Cleland, Martinis (b2) 2006; 313 Imbrie, Ros, Scardicchio (b12) 2017; 7 Jagels, Reichel (b24) 2009; 431 Intel, Intel Math Kernel Library: Reference Manual (Intel Corporation, 2009). Kosloff (b27) 1994; 45 Deutsch (b5) 1991; 43 Sidje (b20) 1998; 24 Goldstein, Lebowitz, Mastrodonato, Tumulka, Zanghì (b4) 2010; 466 Balay, Abhyankar, Adams, Brown, Brune, Buschelman, Dalcin, Eijkhout, Gropp, Kaushik, Knepley, McInnes, Rupp, Smith, Zampini, Zhang, Zhang (b31) 2016 (Accessed December 2016). Cazadilla, Citro, Giamarchi, Orignac, Rigol (b7) 2011; 83 Serbyn, Papić, Abanin (b10) 2013; 111 Maze, Stanwix, Hodges, Hong, Taylor, Cappellaro, Jiang, Dutt, Togan, Zibrov (b3) 2008; 455 Aubry, André (b18) 1980; 3 Eisert, Friesdorf, Gogolin (b6) 2015; 11 Hernandez, Roman, Vidal (b32) 2005; 31 Nandkishore, Huse (b9) 2015; 6 Saad (b19) 1992; 29 Druskin, Knizhnerman (b23) 1998; 19 Frommer, Lund, Szyld (b26) 2017; 47 DSQMKryST . Schollwöck, White (b13) 2006; 816 Martinez, Muschik, Schindler, Nigg, Erhard, Heyl, Hauke, Dalmonte, Monz, Zoller, Blatt (b17) 2016; 534 Távora, Torres-Herrera, Santos (b28) 2017; 95 Simoncini (b25) 2010; 60 Távora, Torres-Herrera, Santos (b35) 2016; 94 Basko, Aleiner, Altshuler (b8) 2006; 321 Žnidarič, Scardicchio, Varma (b15) 2016; 117 Ros, Müller, Scardicchio (b11) 2015; 891 Hochbruck, Lubich (b21) 1997; 34 S. Balay, S. Abhyankar, M.F. Adams, J. Brown, P. Brune, K. Buschelman, L. Dalcin, V. Eijkhout, W.D. Gropp, D. Kaushik, M.G. Knepley, L.C. McInnes, K. Rupp, B.F. Smith, S. Zampini, H. Zhang, H. Zhang, PETSc Web page, 2016. Varma, Lerose, Pietracaprina, Goold, Scardicchio (b16) 2017; 11 Eiermann, Ernst (b22) 2006; 44 Žnidarič (10.1016/j.cpc.2018.08.010_b15) 2016; 117 Schollwöck (10.1016/j.cpc.2018.08.010_b13) 2006; 816 Nandkishore (10.1016/j.cpc.2018.08.010_b9) 2015; 6 Martinez (10.1016/j.cpc.2018.08.010_b17) 2016; 534 10.1016/j.cpc.2018.08.010_b30 Ketzmerick (10.1016/j.cpc.2018.08.010_b36) 1992; 69 10.1016/j.cpc.2018.08.010_b34 10.1016/j.cpc.2018.08.010_b33 Aubry (10.1016/j.cpc.2018.08.010_b18) 1980; 3 Balay (10.1016/j.cpc.2018.08.010_b31) 2016 Jaksch (10.1016/j.cpc.2018.08.010_b1) 1998; 81 Jagels (10.1016/j.cpc.2018.08.010_b24) 2009; 431 10.1016/j.cpc.2018.08.010_b29 Imbrie (10.1016/j.cpc.2018.08.010_b12) 2017; 7 Saad (10.1016/j.cpc.2018.08.010_b19) 1992; 29 Cazadilla (10.1016/j.cpc.2018.08.010_b7) 2011; 83 Druskin (10.1016/j.cpc.2018.08.010_b23) 1998; 19 Sidje (10.1016/j.cpc.2018.08.010_b20) 1998; 24 Kosloff (10.1016/j.cpc.2018.08.010_b27) 1994; 45 Hochbruck (10.1016/j.cpc.2018.08.010_b21) 1997; 34 Basko (10.1016/j.cpc.2018.08.010_b8) 2006; 321 Hernandez (10.1016/j.cpc.2018.08.010_b32) 2005; 31 Steffen (10.1016/j.cpc.2018.08.010_b2) 2006; 313 Goldstein (10.1016/j.cpc.2018.08.010_b4) 2010; 466 Eiermann (10.1016/j.cpc.2018.08.010_b22) 2006; 44 Ros (10.1016/j.cpc.2018.08.010_b11) 2015; 891 Simoncini (10.1016/j.cpc.2018.08.010_b25) 2010; 60 Maze (10.1016/j.cpc.2018.08.010_b3) 2008; 455 Varma (10.1016/j.cpc.2018.08.010_b16) 2017; 11 Távora (10.1016/j.cpc.2018.08.010_b35) 2016; 94 Deutsch (10.1016/j.cpc.2018.08.010_b5) 1991; 43 Távora (10.1016/j.cpc.2018.08.010_b28) 2017; 95 Serbyn (10.1016/j.cpc.2018.08.010_b10) 2013; 111 Fehske (10.1016/j.cpc.2018.08.010_b14) 2008 Frommer (10.1016/j.cpc.2018.08.010_b26) 2017; 47 Eisert (10.1016/j.cpc.2018.08.010_b6) 2015; 11 |
| References_xml | – volume: 81 start-page: 3108 year: 1998 ident: b1 publication-title: Phys. Rev. Lett. – reference: . (Accessed December 2016). – volume: 466 start-page: 2123 year: 2010 ident: b4 publication-title: Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. – volume: 891 start-page: 420 year: 2015 end-page: 465 ident: b11 publication-title: Nuclear Phys. B – volume: 431 start-page: 441 year: 2009 end-page: 458 ident: b24 publication-title: Linear Algebra Appl. – volume: 69 start-page: 695 year: 1992 end-page: 698 ident: b36 publication-title: Phys. Rev. Lett. – volume: 534 start-page: 516 year: 2016 end-page: 519 ident: b17 publication-title: Nature – volume: 11 start-page: 2 year: 2015 ident: b6 publication-title: Nat. Phys. – volume: 313 start-page: 1423 year: 2006 end-page: 1425 ident: b2 publication-title: Science – volume: 95 year: 2017 ident: b28 publication-title: Phys. Rev. A – reference: Intel, Intel Math Kernel Library: Reference Manual (Intel Corporation, 2009). – year: 2016 ident: b31 article-title: PETSc Users Manual, Tech. Rep. ANL-95/11 - Revision 37 – volume: 117 year: 2016 ident: b15 publication-title: Phys. Rev. Lett. – volume: 11 year: 2017 ident: b16 publication-title: J. Stat. Mech. Theor. Exp. – volume: 3 start-page: 133 year: 1980 ident: b18 publication-title: Ann. Isr. Phys. Soc. – volume: 24 start-page: 130 year: 1998 end-page: 156 ident: b20 publication-title: ACM Trans. Math. Software – volume: 321 start-page: 1126 year: 2006 end-page: 1205 ident: b8 publication-title: Ann. Phys. – volume: 44 start-page: 2481 year: 2006 end-page: 2504 ident: b22 publication-title: SIAM J. Numer. Anal. – volume: 60 start-page: 550 year: 2010 end-page: 560 ident: b25 publication-title: Appl. Numer. Math. – reference: DSQMKryST, – volume: 94 start-page: 4 year: 2016 ident: b35 publication-title: Phys. Rev. A – volume: 7 start-page: 529 year: 2017 ident: b12 publication-title: Ann. Phys. (Berl.) – volume: 455 start-page: 644 year: 2008 end-page: 647 ident: b3 publication-title: Nature – volume: 47 start-page: 100 year: 2017 end-page: 126 ident: b26 publication-title: Electron. Trans. Numer. Anal. – volume: 111 year: 2013 ident: b10 publication-title: Phys. Rev. Lett. – volume: 45 start-page: 145 year: 1994 end-page: 178 ident: b27 publication-title: Annu. Rev. Phys. Chem. – volume: 34 start-page: 1911 year: 1997 end-page: 1925 ident: b21 publication-title: SIAM J. Numer. Anal. – reference: Boost, Boost C++ Libraries, 2016. – volume: 43 start-page: 2046 year: 1991 end-page: 2049 ident: b5 publication-title: Phys. Rev. A – reference: . – volume: 19 start-page: 755 year: 1998 end-page: 771 ident: b23 publication-title: SIAM J. Matrix Anal. Appl. – volume: 6 start-page: 15 year: 2015 end-page: 38 ident: b9 publication-title: Ann. Rev. Cond. Matt. Phys. – year: 2008 ident: b14 article-title: Computational Many-Particle Physics – volume: 816 start-page: 1 year: 2006 ident: b13 publication-title: AIP Conf. Proc. – reference: , (Accessed December 2016). – volume: 29 start-page: 208 year: 1992 end-page: 227 ident: b19 publication-title: SIAM J. Numer. Anal. – volume: 83 start-page: 1405 year: 2011 end-page: 1466 ident: b7 publication-title: Rev. Modern Phys. – volume: 31 start-page: 351 year: 2005 end-page: 362 ident: b32 publication-title: ACM Trans. Math. Softw. – reference: S. Balay, S. Abhyankar, M.F. Adams, J. Brown, P. Brune, K. Buschelman, L. Dalcin, V. Eijkhout, W.D. Gropp, D. Kaushik, M.G. Knepley, L.C. McInnes, K. Rupp, B.F. Smith, S. Zampini, H. Zhang, H. Zhang, PETSc Web page, 2016. – volume: 29 start-page: 208 year: 1992 ident: 10.1016/j.cpc.2018.08.010_b19 publication-title: SIAM J. Numer. Anal. doi: 10.1137/0729014 – volume: 313 start-page: 1423 year: 2006 ident: 10.1016/j.cpc.2018.08.010_b2 publication-title: Science doi: 10.1126/science.1130886 – volume: 6 start-page: 15 year: 2015 ident: 10.1016/j.cpc.2018.08.010_b9 publication-title: Ann. Rev. Cond. Matt. Phys. doi: 10.1146/annurev-conmatphys-031214-014726 – volume: 534 start-page: 516 year: 2016 ident: 10.1016/j.cpc.2018.08.010_b17 publication-title: Nature doi: 10.1038/nature18318 – volume: 81 start-page: 3108 year: 1998 ident: 10.1016/j.cpc.2018.08.010_b1 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.81.3108 – volume: 45 start-page: 145 year: 1994 ident: 10.1016/j.cpc.2018.08.010_b27 publication-title: Annu. Rev. Phys. Chem. doi: 10.1146/annurev.pc.45.100194.001045 – volume: 11 start-page: 2 year: 2015 ident: 10.1016/j.cpc.2018.08.010_b6 publication-title: Nat. Phys. doi: 10.1038/nphys3215 – volume: 19 start-page: 755 year: 1998 ident: 10.1016/j.cpc.2018.08.010_b23 publication-title: SIAM J. Matrix Anal. Appl. doi: 10.1137/S0895479895292400 – volume: 60 start-page: 550 year: 2010 ident: 10.1016/j.cpc.2018.08.010_b25 publication-title: Appl. Numer. Math. doi: 10.1016/j.apnum.2010.03.001 – volume: 321 start-page: 1126 year: 2006 ident: 10.1016/j.cpc.2018.08.010_b8 publication-title: Ann. Phys. doi: 10.1016/j.aop.2005.11.014 – volume: 3 start-page: 133 year: 1980 ident: 10.1016/j.cpc.2018.08.010_b18 publication-title: Ann. Isr. Phys. Soc. – volume: 47 start-page: 100 year: 2017 ident: 10.1016/j.cpc.2018.08.010_b26 publication-title: Electron. Trans. Numer. Anal. – volume: 455 start-page: 644 year: 2008 ident: 10.1016/j.cpc.2018.08.010_b3 publication-title: Nature doi: 10.1038/nature07279 – volume: 117 year: 2016 ident: 10.1016/j.cpc.2018.08.010_b15 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.117.040601 – ident: 10.1016/j.cpc.2018.08.010_b33 – volume: 69 start-page: 695 year: 1992 ident: 10.1016/j.cpc.2018.08.010_b36 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.69.695 – volume: 83 start-page: 1405 year: 2011 ident: 10.1016/j.cpc.2018.08.010_b7 publication-title: Rev. Modern Phys. doi: 10.1103/RevModPhys.83.1405 – volume: 111 year: 2013 ident: 10.1016/j.cpc.2018.08.010_b10 publication-title: Phys. Rev. Lett. doi: 10.1103/PhysRevLett.111.127201 – volume: 94 start-page: 4 year: 2016 ident: 10.1016/j.cpc.2018.08.010_b35 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.94.041603 – volume: 431 start-page: 441 year: 2009 ident: 10.1016/j.cpc.2018.08.010_b24 publication-title: Linear Algebra Appl. doi: 10.1016/j.laa.2009.03.006 – ident: 10.1016/j.cpc.2018.08.010_b29 – volume: 11 year: 2017 ident: 10.1016/j.cpc.2018.08.010_b16 publication-title: J. Stat. Mech. Theor. Exp. – volume: 466 start-page: 2123 year: 2010 ident: 10.1016/j.cpc.2018.08.010_b4 publication-title: Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. – year: 2016 ident: 10.1016/j.cpc.2018.08.010_b31 – ident: 10.1016/j.cpc.2018.08.010_b34 – volume: 816 start-page: 1 year: 2006 ident: 10.1016/j.cpc.2018.08.010_b13 publication-title: AIP Conf. Proc. doi: 10.1063/1.2178027 – year: 2008 ident: 10.1016/j.cpc.2018.08.010_b14 – volume: 43 start-page: 2046 year: 1991 ident: 10.1016/j.cpc.2018.08.010_b5 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.43.2046 – volume: 891 start-page: 420 year: 2015 ident: 10.1016/j.cpc.2018.08.010_b11 publication-title: Nuclear Phys. B doi: 10.1016/j.nuclphysb.2014.12.014 – volume: 34 start-page: 1911 year: 1997 ident: 10.1016/j.cpc.2018.08.010_b21 publication-title: SIAM J. Numer. Anal. doi: 10.1137/S0036142995280572 – volume: 31 start-page: 351 year: 2005 ident: 10.1016/j.cpc.2018.08.010_b32 publication-title: ACM Trans. Math. Softw. doi: 10.1145/1089014.1089019 – volume: 7 start-page: 529 year: 2017 ident: 10.1016/j.cpc.2018.08.010_b12 publication-title: Ann. Phys. (Berl.) – volume: 24 start-page: 130 year: 1998 ident: 10.1016/j.cpc.2018.08.010_b20 publication-title: ACM Trans. Math. Software doi: 10.1145/285861.285868 – ident: 10.1016/j.cpc.2018.08.010_b30 – volume: 44 start-page: 2481 year: 2006 ident: 10.1016/j.cpc.2018.08.010_b22 publication-title: SIAM J. Numer. Anal. doi: 10.1137/050633846 – volume: 95 year: 2017 ident: 10.1016/j.cpc.2018.08.010_b28 publication-title: Phys. Rev. A doi: 10.1103/PhysRevA.95.013604 |
| SSID | ssj0007793 |
| Score | 2.3402946 |
| Snippet | We have developed an application and implemented parallel algorithms in order to provide a computational framework suitable for massively parallel... |
| SourceID | crossref elsevier |
| SourceType | Enrichment Source Index Database Publisher |
| StartPage | 477 |
| SubjectTerms | Distributed memory parallelism Krylov subspace methods Strongly interacting systems Unitary quantum dynamics |
| Title | Massively parallel implementation and approaches to simulate quantum dynamics using Krylov subspace techniques |
| URI | https://dx.doi.org/10.1016/j.cpc.2018.08.010 |
| Volume | 235 |
| WOSCitedRecordID | wos000451491100044&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: PRVESC databaseName: Elsevier SD Freedom Collection Journals 2021 customDbUrl: eissn: 1879-2944 dateEnd: 99991231 omitProxy: false ssIdentifier: ssj0007793 issn: 0010-4655 databaseCode: AIEXJ dateStart: 19950101 isFulltext: true titleUrlDefault: https://www.sciencedirect.com providerName: Elsevier |
| link | http://cvtisr.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1Nb9QwELVWLUhcEJ-ilCIfOBEFbeIkTo4VakUpVD2Uam-R4-yKVNtklaSr_qb-SmbisbMtFNEDl2hlJd7szpPneTzzhrEPQsHwItF-USaFH8Uy8FOthC8KYOsSdhDZcKJ7_k2enKSzWXY6mdzYWpj1UtZ1en2drf6rqWEMjI2lsw8wt5sUBuAzGB2uYHa4_pPhvwMdhiUMoxaqxU4pSyyFpCzx3mYfWy1xo_DQVZfYxmuONZbghC690jSq77yrIZZw3MK-fu11sMrAHnvuOeXXbpPc2g4RFC7pMF99rD4Z4_GootlRodByTAM4x-j6kHeL_bS9Y4yWOaeBB0VlpfXPqiHNgwYTdBqXP1S1TT-0hPKO1oR4CmZg_ZRLDKEFGtwCSrptLtChiDeW2IjavhhvHZmmgL85AhOTuPikV6hTGaSDTisl0N4S3b7jDF2Kos1-u8hhihynyLFfJ1bzbYcyzmAF3d4_Oph9dX5fSpJ4pp9gz9CHbMI77_FnFrTBbM6esae0JeH7BkrP2WRev2CPT40NX7LaAYpbQPHbgOIAKD4CivcNt4DiBChuAcUHQHEDKG4BxUdAvWI_Dg_OPn_xqUuHr8NM9n6sdDRdTJXKRBoGpZJAAFVWBmIhk0SXwJKKAiWOUuDKIlPptNBahosgUUGgkTK-Zls1QOYN43BnLLXCk_MiUoVIBXiHuNSBioHLyXiHTe2_lmuSsMdOKsv8XmvtsI_ukZXRb_nbzZE1RU4E1BDLHGB1_2NvH_Idu-zJCPx3bKtvr-Z77JFe91XXvidM_QLLQa2p |
| linkProvider | Elsevier |
| 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=Massively+parallel+implementation+and+approaches+to+simulate+quantum+dynamics+using+Krylov+subspace+techniques&rft.jtitle=Computer+physics+communications&rft.au=Brenes%2C+Marlon&rft.au=Varma%2C+Vipin+Kerala&rft.au=Scardicchio%2C+Antonello&rft.au=Girotto%2C+Ivan&rft.date=2019-02-01&rft.issn=0010-4655&rft.volume=235&rft.spage=477&rft.epage=488&rft_id=info:doi/10.1016%2Fj.cpc.2018.08.010&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_cpc_2018_08_010 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0010-4655&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0010-4655&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0010-4655&client=summon |