Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving

Autores
Ferrón, Alejandro; Domínguez, Daniel
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Solid-state devices for quantum-bit computation qubits are not perfect isolated two-level systems sinceadditional higher energy levels always exist. One example is the Josephson flux qubit, which consists on amesoscopic superconducting quantum interference device loop with three Josephson junctions operated at ornear a magnetic flux of half quantum. We study intrinsic leakage effects, i.e., direct transitions from theallowed qubit states to higher excited states of the system during the application of pulses for quantumcomputation operations. The system is started in the ground state and rf-magnetic field pulses are applied at thequbit resonant frequency with pulse intensity f p. A perturbative calculation of the average leakage for small f pis performed for this case, obtaining that the leakage is quadratic in f p, and that it depends mainly on the matrixelements of the supercurrent. Numerical simulations of the time-dependent Schrödinger equation correspondingto the full Hamiltonian of this device were also performed. From the simulations we obtain the value of f pabove which the two-level approximation breaks down, and we estimate the maximum Rabi frequency that canbe achieved. We study the leakage as a function of the ratio among the Josephson energies of the junctionsof the device, obtaining the best value for minimum leakage 0.85. The effects of flux noise on the leakageare also discussed.
Fil: Ferrón, Alejandro. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Domínguez, Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina
Materia
qubits
superconductividad
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/242337
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong drivingFerrón, AlejandroDomínguez, Danielqubitssuperconductividadhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Solid-state devices for quantum-bit computation qubits are not perfect isolated two-level systems sinceadditional higher energy levels always exist. One example is the Josephson flux qubit, which consists on amesoscopic superconducting quantum interference device loop with three Josephson junctions operated at ornear a magnetic flux of half quantum. We study intrinsic leakage effects, i.e., direct transitions from theallowed qubit states to higher excited states of the system during the application of pulses for quantumcomputation operations. The system is started in the ground state and rf-magnetic field pulses are applied at thequbit resonant frequency with pulse intensity f p. A perturbative calculation of the average leakage for small f pis performed for this case, obtaining that the leakage is quadratic in f p, and that it depends mainly on the matrixelements of the supercurrent. Numerical simulations of the time-dependent Schrödinger equation correspondingto the full Hamiltonian of this device were also performed. From the simulations we obtain the value of f pabove which the two-level approximation breaks down, and we estimate the maximum Rabi frequency that canbe achieved. We study the leakage as a function of the ratio among the Josephson energies of the junctionsof the device, obtaining the best value for minimum leakage 0.85. The effects of flux noise on the leakageare also discussed.Fil: Ferrón, Alejandro. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Domínguez, Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; ArgentinaAmerican Physical Society2010-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/242337Ferrón, Alejandro; Domínguez, Daniel; Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 81; 10; 3-2010; 1-111098-0121CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.81.104505info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.81.104505info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:54:03Zoai:ri.conicet.gov.ar:11336/242337instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:54:03.571CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving
title Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving
spellingShingle Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving
Ferrón, Alejandro
qubits
superconductividad
title_short Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving
title_full Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving
title_fullStr Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving
title_full_unstemmed Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving
title_sort Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving
dc.creator.none.fl_str_mv Ferrón, Alejandro
Domínguez, Daniel
author Ferrón, Alejandro
author_facet Ferrón, Alejandro
Domínguez, Daniel
author_role author
author2 Domínguez, Daniel
author2_role author
dc.subject.none.fl_str_mv qubits
superconductividad
topic qubits
superconductividad
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Solid-state devices for quantum-bit computation qubits are not perfect isolated two-level systems sinceadditional higher energy levels always exist. One example is the Josephson flux qubit, which consists on amesoscopic superconducting quantum interference device loop with three Josephson junctions operated at ornear a magnetic flux of half quantum. We study intrinsic leakage effects, i.e., direct transitions from theallowed qubit states to higher excited states of the system during the application of pulses for quantumcomputation operations. The system is started in the ground state and rf-magnetic field pulses are applied at thequbit resonant frequency with pulse intensity f p. A perturbative calculation of the average leakage for small f pis performed for this case, obtaining that the leakage is quadratic in f p, and that it depends mainly on the matrixelements of the supercurrent. Numerical simulations of the time-dependent Schrödinger equation correspondingto the full Hamiltonian of this device were also performed. From the simulations we obtain the value of f pabove which the two-level approximation breaks down, and we estimate the maximum Rabi frequency that canbe achieved. We study the leakage as a function of the ratio among the Josephson energies of the junctionsof the device, obtaining the best value for minimum leakage 0.85. The effects of flux noise on the leakageare also discussed.
Fil: Ferrón, Alejandro. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Domínguez, Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro | Universidad Nacional de Cuyo. Instituto Balseiro. Archivo Histórico del Centro Atómico Bariloche e Instituto Balseiro; Argentina
description Solid-state devices for quantum-bit computation qubits are not perfect isolated two-level systems sinceadditional higher energy levels always exist. One example is the Josephson flux qubit, which consists on amesoscopic superconducting quantum interference device loop with three Josephson junctions operated at ornear a magnetic flux of half quantum. We study intrinsic leakage effects, i.e., direct transitions from theallowed qubit states to higher excited states of the system during the application of pulses for quantumcomputation operations. The system is started in the ground state and rf-magnetic field pulses are applied at thequbit resonant frequency with pulse intensity f p. A perturbative calculation of the average leakage for small f pis performed for this case, obtaining that the leakage is quadratic in f p, and that it depends mainly on the matrixelements of the supercurrent. Numerical simulations of the time-dependent Schrödinger equation correspondingto the full Hamiltonian of this device were also performed. From the simulations we obtain the value of f pabove which the two-level approximation breaks down, and we estimate the maximum Rabi frequency that canbe achieved. We study the leakage as a function of the ratio among the Josephson energies of the junctionsof the device, obtaining the best value for minimum leakage 0.85. The effects of flux noise on the leakageare also discussed.
publishDate 2010
dc.date.none.fl_str_mv 2010-03
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/242337
Ferrón, Alejandro; Domínguez, Daniel; Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 81; 10; 3-2010; 1-11
1098-0121
CONICET Digital
CONICET
url http://hdl.handle.net/11336/242337
identifier_str_mv Ferrón, Alejandro; Domínguez, Daniel; Intrinsic leakage of the Josephson flux qubit and breakdown of the two-level approximation for strong driving; American Physical Society; Physical Review B: Condensed Matter and Materials Physics; 81; 10; 3-2010; 1-11
1098-0121
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prb/abstract/10.1103/PhysRevB.81.104505
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevB.81.104505
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.13397

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