Mostrar el registro sencillo del ítem
dc.contributor.author | Mehrabankar, Somayeh | es_ES |
dc.contributor.author | Garcia March, Miguel Angel | es_ES |
dc.contributor.author | Almudéver, Carmen G. | es_ES |
dc.contributor.author | Pérez, Armando | es_ES |
dc.date.accessioned | 2024-10-03T18:26:42Z | |
dc.date.available | 2024-10-03T18:26:42Z | |
dc.date.issued | 2024-08-01 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/209282 | |
dc.description.abstract | [EN] We investigate the Ising and Heisenberg models using the block renormalization group method (BRGM), focusing on its behavior across different system sizes. The BRGM reduces the number of spins by a factor of 1/2 (1/3) for the Ising (Heisenberg) model, effectively preserving essential physical features of the model while using only a fraction of the spins. Through a comparative analysis, we demonstrate that as the system size increases, there is an exponential convergence between results obtained from the original and renormalized Ising Hamiltonians, provided the coupling constants are redefined accordingly. Remarkably, for a spin chain with 24 spins, all physical features, including magnetization, correlation function, and entanglement entropy, exhibit an exact correspondence with the results from the original Hamiltonian. The study of the Heisenberg model also shows this tendency, although complete convergence may appear for a size much larger than 24 spins, and is therefore beyond our computational capabilities. The success of BRGM in accurately characterizing the Ising model, even with a relatively small number of spins, underscores its robustness and utility in studying complex physical systems, and facilitates its simulation on current NISQ computers, where the available number of qubits is largely constrained. | es_ES |
dc.description.sponsorship | The authors would like to acknowledge the enlightening discussions with German Sierra and express their gratitude to Ali Najafi (www.linkedin.com/in/ali-najafi-84345546) for his collaboration in numerical calculations. These calculations were performed using the Luis Vives machine at the University of Valencia, Spain. The authors gratefully acknowledge the computer resources at Artemisa, funded by the European Union ERDF and Comunitat Valenciana, as well as the technical support provided by the Instituto de Fisica Corpuscular, IFIC (CSIC-UV). This work has been funded by the Spanish MCIN/AEI/10.13039/501100011033 Grant PID2020-113334GB-I00, Generalitat Valenciana Grant CIPROM/2022/66, the Ministry of Economic Affairs and Digital Transformation of the Spanish Government through the QUANTUM ENIA project call-QUANTUM SPAIN project, and by the European Union through the Recovery, Transformation, and Resilience Plan: NextGenerationEU within the framework of the Digital Spain 2026 Agenda, and by the CSIC Interdisciplinary Thematic Platform (PTI+) on Quantum Technologies (PTI-QTEP+). This project has also received funding from the European Union's Horizon 2020 research and innovation program under Grant Agreement 101086123-CaLIGOLA. M A G-M acknowledges funding from the Spanish Ministry of Education and Professional Training (MEFP) through the Beatriz Galindo program 2018 (BEAGAL18/00203), QuantERA II Cofund 2021 PCI2022-133004, Projects of MCIN with funding from European Union Next GenerationEU (PRTR-C17.I1) and by Generalitat Valenciana, with reference 20220883 (PerovsQuTe) and COMCUANTICA/007 (QuanTwin), and Red Tematica RED2022-134391-T. CGA acknowledges support from the Spanish Ministry of Science, Innovation and Universities through the Beatriz Galindo program 2020 (BG20-00023) and the European ERDF under Grant PID2021-123627OB-C51 and from the QuantERA Grant EQUIP with the Grant Numbers PCI2022-133004, funded by Agencia Estatal de Investigacion, Ministerio de Ciencia e Innovacion, Gobierno de Espana, MCIN/AEI/10.13039/501100011033, and by the European Union 'NextGenerationEU/PRTR' | es_ES |
dc.language | Inglés | es_ES |
dc.publisher | IOP Publishing | es_ES |
dc.relation.ispartof | New Journal of Physics | es_ES |
dc.rights | Reconocimiento (by) | es_ES |
dc.subject | Block Renormalization Group Method (BRGM) | es_ES |
dc.subject | Ising model | es_ES |
dc.subject | Quantum simulation | es_ES |
dc.subject | NISQ computers | es_ES |
dc.subject | Heisenberg model | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Reducing the number of qubits in quantum simulations of one dimensional many-body Hamiltonians | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1088/1367-2630/ad6d84 | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-113334GB-I00/ES/PARTICULAS ELEMENTALES: EL MODELO ESTANDAR Y SUS EXTENSIONES/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PCI2022-133004/ES/ERROR CORRECTION FOR QUANTUM INFORMATION PROCESSING/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/PID2021-123627OB-C51/ES/MEJORA DEL PROCESADOR, SUBSISTEMA DE MEMORIA, ACELERADORES Y REDES/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/HE/101086123/EU/Cartan geometry, Lie and representation theory, Integrable Systems, quantum Groups and quantum computing towards the understanding of the geometry of deep Learning and its Applications/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//CIPROM%2F2022%2F66/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//20220883/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//COMCUANTICA%2F007/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//RED2022-134391-T/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MECD//BEAGAL18%2F00203//AYUDA BEATRIZ GALINDO MODALIDAD JUNIOR-GARCIA MARCH/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MCIU//BG20-00023/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MICINN//PRTR-C17.I1/ | es_ES |
dc.rights.accessRights | Abierto | es_ES |
dc.contributor.affiliation | Universitat Politècnica de València. Escuela Técnica Superior de Ingenieros Industriales - Escola Tècnica Superior d'Enginyers Industrials | es_ES |
dc.description.bibliographicCitation | Mehrabankar, S.; Garcia March, MA.; Almudéver, CG.; Pérez, A. (2024). Reducing the number of qubits in quantum simulations of one dimensional many-body Hamiltonians. New Journal of Physics. 26(8). https://doi.org/10.1088/1367-2630/ad6d84 | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1088/1367-2630/ad6d84 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 26 | es_ES |
dc.description.issue | 8 | es_ES |
dc.identifier.eissn | 1367-2630 | es_ES |
dc.relation.pasarela | S\525499 | es_ES |
dc.contributor.funder | European Commission | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Agencia Estatal de Investigación | es_ES |
dc.contributor.funder | European Regional Development Fund | es_ES |
dc.contributor.funder | Ministerio de Ciencia e Innovación | es_ES |
dc.contributor.funder | Ministerio de Educación, Cultura y Deporte | es_ES |
dc.contributor.funder | Ministerio de Ciencia, Innovación y Universidades | es_ES |