THE DECOHERENCE-FREE SUBALGEBRA OF A QUANTUM MARKOV SEMIGROUP WITH UNBOUNDED GENERATOR

Simple item page
dc.contributor.authorDhahri, Ameur
dc.contributor.authorFagnola, Franco
dc.contributor.authorRebolledo, Rolando
dc.date.accessioned2024-01-10T13:43:46Z
dc.date.available2024-01-10T13:43:46Z
dc.date.issued2010
dc.description.abstractLet T be a quantum Markov semigroup on B(h) with a faithful normal invariant state.. The decoherence-free subalgebra N(T) of T is the biggest subalgebra of B(h) where the completely positive maps T(t) act as homomorphisms. When T is the minimal semigroup whose generator is represented in a generalised GKSL form L(x) = -1/2 Sigma(l)(L(l)*L(l)x-2L(l)*xL(l)+xL(l)*L(l))+i[H, x], with possibly unbounded H, L(l), we show that N(T) coincides with the generalised commutator of {e(-itH) L(l)e(itH), e(-itH) L(l)*e(itH) vertical bar l >= 1, t >= 0} under some natural regularity conditions.
dc.description.abstractAs a corollary we derive simple sufficient algebraic conditions for convergence towards a steady state based on multiple commutators of H and L(l).
dc.description.abstractWe give examples of quantum Markov semigroups B(h), with h infinite-dimensional, having a non-trivial decoherence-free subalgebra.
dc.description.funderMIUR
dc.fechaingreso.objetodigital2024-05-14
dc.format.extent21 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1142/S0219025710004176
dc.identifier.issn0219-0257
dc.identifier.urihttps://doi.org/10.1142/S0219025710004176
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/78752
dc.identifier.wosidWOS:000283073100005
dc.information.autorucMatemática;Dhahri A;S/I;1007537
dc.information.autorucMatemática;Rebolledo R;S/I;99203
dc.issue.numero3
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final433
dc.pagina.inicio413
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.revistaINFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
dc.rightsacceso restringido
dc.subjectQuantum Markov semigroups
dc.subjectdecoherence
dc.subjectconvergence to a steady state
dc.subjectgeneralised Lindblad form
dc.subjectmultiple commutators
dc.subjectSTOCHASTIC DIFFERENTIAL-EQUATIONS
dc.subjectDYNAMICAL SEMIGROUPS
dc.subject.ods09 Industry, Innovation and Infrastructure
dc.subject.odspa09 Industria, innovación e infraestructura
dc.titleTHE DECOHERENCE-FREE SUBALGEBRA OF A QUANTUM MARKOV SEMIGROUP WITH UNBOUNDED GENERATOR
dc.typeartículo
dc.volumen13
sipa.codpersvinculados1007537
sipa.codpersvinculados99203
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
The decoherence-free subalgebra of a quantum Markov semigroup with unbounded generator.pdf
Size:
2.81 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Artículos de revistas