{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T23:00:30Z","timestamp":1777676430721,"version":"3.51.4"},"reference-count":21,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2009,11,2]],"date-time":"2009-11-02T00:00:00Z","timestamp":1257120000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["The International Journal of High Performance Computing Applications"],"published-print":{"date-parts":[[2010,8]]},"abstract":"<jats:p>\n                    In order to explore quantum dynamics of coupled Josephson junctions, we develop a program solving directly the time-dependent Schr\u00f6dinger equation by diagonalizing the Hamiltonian matrix and obtaining its ground and multiple low-lying excitation states. The Schr\u00f6dinger equation is defined on m\n                    <jats:sup>n<\/jats:sup>\n                    grids, in which m is the number of grid points discretized on a characteristic phase space of each junction and n is the number of coupled junctions. In this paper, the calculated maximum system is that m = 256 and n = 4, i.e. the number of degrees of freedom reaches 256\n                    <jats:sup>4<\/jats:sup>\n                    (=4,294,967,296). We examine possible effective numerical schemes and make a parallel tuning to optimize the communication on the Earth Simulator. We sustain floating-point operation performance exceeding 20% of the peak on 512 nodes (4,096 PEs). From systematic calculations, we find a new concept that \u201cquantum-assisted synchronization\u201d occurs with downsizing the junction plane. This is a discovery adding a quantum flavor to the classical concept \u201csynchronization\u201d.\n                  <\/jats:p>","DOI":"10.1177\/1094342009352483","type":"journal-article","created":{"date-parts":[[2009,11,2]],"date-time":"2009-11-02T20:53:43Z","timestamp":1257195223000},"page":"319-334","source":"Crossref","is-referenced-by-count":1,"title":["High-Performance Quantum Simulation for Coupled Josephson Junctions on the Earth Simulator: a Challenge To the Schr\u00f6dinger Equation On 256\n                    <sup>4<\/sup>\n                    Grids"],"prefix":"10.1177","volume":"24","author":[{"given":"Toshiyuki","family":"Imamura","sequence":"first","affiliation":[{"name":"DEPARTMENT OF COMPUTER SCIENCE, THE UNIVERSITY OF ELECTRO-COMMUNICATIONS, CHOFU CITY, TOKYO, JAPAN"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Takuma","family":"Kano","sequence":"additional","affiliation":[{"name":"JAPAN ATOMIC ENERGY AGENCY, CENTER FOR COMPUTATIONAL SCIENCE AND E-SYSTEMS, 6-9-3 HIGASHI-UENO, TAITO-KU, TOKYO 110-0015, JAPAN"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Susumu","family":"Yamada","sequence":"additional","affiliation":[{"name":"JAPAN ATOMIC ENERGY AGENCY, CENTER FOR COMPUTATIONAL SCIENCE AND E-SYSTEMS, 6-9-3 HIGASHI-UENO, TAITO-KU, TOKYO 110-0015, JAPAN,"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Masahiko","family":"Okumura","sequence":"additional","affiliation":[{"name":"JAPAN ATOMIC ENERGY AGENCY, CENTER FOR COMPUTATIONAL SCIENCE AND E-SYSTEMS, 6-9-3 HIGASHI-UENO, TAITO-KU, TOKYO 110-0015, JAPAN"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Masahiko","family":"Machida","sequence":"additional","affiliation":[{"name":"JAPAN ATOMIC ENERGY AGENCY, CENTER FOR COMPUTATIONAL SCIENCE AND E-SYSTEMS, 6-9-3 HIGASHI-UENO, TAITO-KU, TOKYO 110-0015, JAPAN"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2009,11,2]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898719581"},{"key":"atypb2","volume-title":"Matrix Computations","author":"Golub, G.","year":"1996","edition":"3"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.96.177003"},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.68.2394"},{"key":"atypb5","first-page":"104","volume":"7","author":"Knyazev, A.V.","year":"1998","journal-title":"Trans. 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