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Semigrupos cuánticos de Markov: Pasado, presente y futuro
Quantum Markov semigroups (QMS): past, present and future panorama Semigrupos quánticos de Markov: Pasado, pressente e futuro
dc.contributor.author | Agredo Echeverry, Julián Andrés | |
dc.date.accessioned | 2021-05-05T22:53:27Z | |
dc.date.accessioned | 2021-10-01T17:20:45Z | |
dc.date.available | 2021-05-05 | |
dc.date.available | 2021-10-01T17:20:45Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 2011-2629 | |
dc.identifier.uri | https://repositorio.escuelaing.edu.co/handle/001/1396 | |
dc.description.abstract | Los semigrupos cuánticos de Markov (SCM) son una extensión no conmutativa de los semigrupos de Markov definidos en probabilidad clásica. Ellos representan una evolución sin memoria de un sistema microscopico acorde a las leyes de la física cuántica y a la estructura de los sistemas cuánticos abiertos. Esto significa que la dinámica reducida del sistema principal es descrita por un espacio de Hilbert separable complejo h por medio de un semigrupo T=(Tt)t≥0, el cual actúa sobre una subálgebra de von Neumann M del álgebra P(h) de todos los operadores lineales acotados definidos en h. Por simplicidad, algunas veces asumiremos que M=P(h). El semigrupo T corresponde al cuadro de Heisenberg en el sentido que dado cualquier observable x, Tt(x) describe su evolución en el tiempo t. De esta forma, dada una matriz de densidad p, su dinámica (cuadro de Schrödinger) es dada por el semigrupo predual T*t(ρ) , donde tr(ρTt(x))=tr(T*t(ρ)x), tr(⋅) denota p, su dinámica (cuadro de Schrödinger) es dada por el semigrupo predual T*t(ρ) , donde tr(ρTt(x))=tr(T*t(ρ)x), tr(⋅) denota la operación traza. En este trabajo ofrecemos una exposición de varios resultados básicos sobre SCM. Además, discutimos aplicaciones de SCM en teoría de la información cuántica y computación cuántica. | spa |
dc.description.abstract | Quantum Markov semigroups (QMS) are a non-commutative extension of Markov semigroups defined in classical probability. They represent a memoryless evolution of a microscopic system according to the laws of quantum physics and the structure of open quantum systems. This means that the reduced dynamics of the main system is described by a complex separable Hilbert space h by means of a semigroup T=(Tt)t≥0, which acts on a von Neumann subalgebra M of the algebra P(h) of all bounded linear operators defined on h. For simplicity, we will sometimes assume that M=P(h). The semigroup T corresponds to the Heisenberg picture in the sense that given any observable x, Tt(x) describes its evolution in time t. Thus, given a density matrix p, its dynamics (Schrödinger square) is given by the predual semigroup T*t(ρ) , where tr(ρTt(x))=tr(T*t(ρ)x), tr(⋅) denotes p, its dynamics (Schrödinger frame) is given by the predual semigroup T*t(ρ) , where tr(ρTt(x))=tr(T*t(ρ)x), tr(⋅) denotes the trace operation. In this paper we provide an exposition of several basic results on SCM. In addition, we discuss applications of SCM in quantum information theory and quantum computation. | spa |
dc.format.extent | 10 páginas | spa |
dc.format.mimetype | application/pdf | spa |
dc.language.iso | spa | spa |
dc.publisher | Universidad de los Llanos | spa |
dc.source | https://orinoquia.unillanos.edu.co/index.php/orinoquia/article/view/427 | spa |
dc.title | Semigrupos cuánticos de Markov: Pasado, presente y futuro | spa |
dc.title | Quantum Markov semigroups (QMS): past, present and future panorama Semigrupos quánticos de Markov: Pasado, pressente e futuro | eng |
dc.type | Artículo de revista | spa |
dc.description.notes | 1 Matemático, MSc, Phd. Grupo de investigación GIMATH, Escuela Colombiana de Ingeniería Julio Garavito, Bogotá, Colombia Email: julian.agredo@escuelaing.edu.co | spa |
dc.type.version | info:eu-repo/semantics/publishedVersion | spa |
oaire.accessrights | http://purl.org/coar/access_right/c_abf2 | spa |
oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | spa |
dc.contributor.researchgroup | Matemáticas | spa |
dc.identifier.doi | 10.22579/20112629.427 | |
dc.identifier.url | https://doi.org/10.22579/20112629.427 | |
dc.publisher.place | Colombia, Orinoquia | spa |
dc.relation.citationedition | Orinoquia, Volumen 21, Número 1 Sup, p. 20-29, 2017. ISSN electrónico 2011-2629. ISSN impreso 0121-3709. | spa |
dc.relation.citationendpage | 29 | spa |
dc.relation.citationissue | 1 | spa |
dc.relation.citationstartpage | 20 | spa |
dc.relation.citationvolume | 21 | spa |
dc.relation.indexed | N/A | spa |
dc.relation.ispartofjournal | Revista Orinoquia | spa |
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dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
dc.subject.armarc | Teoria de la información | |
dc.subject.armarc | Computación cuántica | |
dc.subject.proposal | Computación cuántica | spa |
dc.subject.proposal | Semigrupos de Markov cuánticos | spa |
dc.subject.proposal | Teoria de la información | spa |
dc.subject.proposal | Quantum computing | spa |
dc.subject.proposal | Quantum Markov semigroups | spa |
dc.subject.proposal | Information theory | spa |
dc.type.coar | http://purl.org/coar/resource_type/c_2df8fbb1 | spa |
dc.type.content | Text | spa |
dc.type.driver | info:eu-repo/semantics/article | spa |
dc.type.redcol | http://purl.org/redcol/resource_type/ART | spa |
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