Multi-level quantum description of decoherence in superconducting qubits


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BURKARD, Guido, Roger H. KOCH, David P. DIVINCENZO, 2004. Multi-level quantum description of decoherence in superconducting qubits. In: Physical Review(B69), 64503. Available under: doi: 10.1103/PhysRevB.69.064503

@article{Burkard2004Multi-5300, title={Multi-level quantum description of decoherence in superconducting qubits}, year={2004}, doi={10.1103/PhysRevB.69.064503}, number={B69}, journal={Physical Review}, author={Burkard, Guido and Koch, Roger H. and DiVincenzo, David P.}, note={Article Number: 64503} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:rights>terms-of-use</dc:rights> <dc:format>application/pdf</dc:format> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:title>Multi-level quantum description of decoherence in superconducting qubits</dcterms:title> <dcterms:abstract xml:lang="eng">We present a multi-level quantum theory of decoherence for a general circuit realization of a superconducting qubit. Using electrical network graph theory, we derive a Hamiltonian for the circuit. The dissipative circuit elements (external impedances, shunt resistors) are described using the Caldeira-Leggett model. The master equation for the superconducting phases in the Born-Markov approximation is derived and brought into the Bloch-Redfield form in order to describe multi-level dissipative quantum dynamics of the circuit. The model takes into account leakage effects, i.e. transitions from the allowed qubit states to higher excited states of the system. As a special case, we truncate the Hilbert space and derive a two-level (Bloch) theory with characteristic relaxation (T1) and decoherence (T2) times. We apply our theory to the class of superconducting flux qubits; however, the formalism can be applied for both superconducting flux and charge qubits.</dcterms:abstract> <dspace:hasBitstream rdf:resource=""/> <dc:creator>Koch, Roger H.</dc:creator> <dcterms:issued>2004</dcterms:issued> <dc:date rdf:datatype="">2011-03-24T14:54:45Z</dc:date> <dcterms:bibliographicCitation>First publ. in: arXiv:cond-mat/0308025 [cond-mat.mes-hall], also publ. in: Physical Review (2004), B69, 064503</dcterms:bibliographicCitation> <dcterms:rights rdf:resource=""/> <dcterms:available rdf:datatype="">2011-03-24T14:54:45Z</dcterms:available> <dc:contributor>DiVincenzo, David P.</dc:contributor> <dcterms:isPartOf rdf:resource=""/> <dc:creator>Burkard, Guido</dc:creator> <dc:contributor>Burkard, Guido</dc:contributor> <dc:contributor>Koch, Roger H.</dc:contributor> <dc:creator>DiVincenzo, David P.</dc:creator> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dspace:isPartOfCollection rdf:resource=""/> <bibo:uri rdf:resource=""/> <dcterms:hasPart rdf:resource=""/> <dc:language>eng</dc:language> </rdf:Description> </rdf:RDF>

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