Emergent gauge symmetries and quantum operations

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MetadadosDescriçãoIdioma
Autor(es): dc.contributorSyracuse University-
Autor(es): dc.contributorUniversidad de Los Andes-
Autor(es): dc.contributorUniversidade Estadual Paulista (Unesp)-
Autor(es): dc.creatorBalachandran, A. P.-
Autor(es): dc.creatorBurbano, I. M. [UNESP]-
Autor(es): dc.creatorReyes-Lega, A. F.-
Autor(es): dc.creatorTabban, S.-
Data de aceite: dc.date.accessioned2022-02-22T00:29:34Z-
Data de disponibilização: dc.date.available2022-02-22T00:29:34Z-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2020-12-11-
Data de envio: dc.date.issued2020-01-13-
Fonte completa do material: dc.identifierhttp://dx.doi.org/10.1088/1751-8121/ab6143-
Fonte completa do material: dc.identifierhttp://hdl.handle.net/11449/200144-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/11449/200144-
Descrição: dc.descriptionThe algebraic approach to quantum physics emphasizes the role played by the structure of the algebra of observables and its relation to the space of states. An important feature of this point of view is that subsystems can be described by subalgebras, with partial trace being replaced by the more general notion of restriction to a subalgebra. This, in turn, has recently led to applications to the study of entanglement in systems of identical particles. In the course of those investigations on entanglement and particle identity, an emergent gauge symmetry has been found by Balachandran, de Queiroz and Vaidya. In this letter we establish a novel connection between that gauge symmetry, entropy production and quantum operations. Thus, let A be a system described by a finite dimensional observable algebra and ω a mixed faithful state. Using the Gelfand-Naimark-Segal (GNS) representation we construct a canonical purification of ω, allowing us to embed A into a larger system C. Using Tomita-Takesaki theory, we obtain a subsystem decomposition of C into subsystems A and B, without making use of any tensor product structure. We identify a group of transformations that acts as a gauge group on A while at the same time giving rise to entropy increasing quantum operations on C. We provide physical means to simulate this gauge symmetry/quantum operation duality.-
Descrição: dc.descriptionDepartment of Physics Syracuse University-
Descrição: dc.descriptionDepartamento de Física Universidad de Los Andes, A.A. 4976-12340-
Descrição: dc.descriptionICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP - Universidade Estadual Paulista, Rua Dr. Bento T. Ferraz 271-
Descrição: dc.descriptionICTP South American Institute for Fundamental Research Instituto de Física Teórica UNESP - Universidade Estadual Paulista, Rua Dr. Bento T. Ferraz 271-
Idioma: dc.languageen-
Relação: dc.relationJournal of Physics A: Mathematical and Theoretical-
???dc.source???: dc.sourceScopus-
Palavras-chave: dc.subjectgauge symmetry-
Palavras-chave: dc.subjectquantum operations-
Palavras-chave: dc.subjectTomita-Takesaki-
Título: dc.titleEmergent gauge symmetries and quantum operations-
Tipo de arquivo: dc.typelivro digital-
Aparece nas coleções:Repositório Institucional - Unesp

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