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dc.contributor.author
Zozor, Steeve
dc.contributor.author
Bosyk, Gustavo Martin
dc.contributor.author
Portesi, Mariela Adelina
dc.date.available
2020-04-03T17:36:31Z
dc.date.issued
2013-11
dc.identifier.citation
Zozor, Steeve; Bosyk, Gustavo Martin; Portesi, Mariela Adelina; On a generalized entropic uncertainty relation in the case of the qubit; IOP Publishing; Journal of Physics A: Mathematical and Theoretical; 46; 46; 11-2013; 465301-465317
dc.identifier.issn
1751-8113
dc.identifier.uri
http://hdl.handle.net/11336/101872
dc.description.abstract
We revisit generalized entropic formulations of the uncertainty principle for an arbitrary pair of quantum observables in two-dimensional Hilbert space. Rényi entropy is used as an uncertainty measure associated with the distribution probabilities corresponding to the outcomes of the observables. We derive a general expression for the tight lower bound of the sum of Rényi entropies for any couple of (positive) entropic indices (alpha, beta). Thus, we have overcome the Hölder conjugacy constraint imposed on the entropic indices by Riesz-Thorin theorem. In addition, we present an analytical expression for the tight bound inside the square [0,1/2]x[0,1/2] in the alpha-beta plane, and a semi-analytical expression on the line beta=alpha. It is seen that previous results are included as particular cases. Moreover we present a semi-analytical, suboptimal bound for any couple of indices. In all cases, we provide the minimizing states.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
IOP Publishing
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
ENTROPIC MEASURES
dc.subject
UNCERTAINTY RELATION
dc.subject
QUBIT SYSTEM
dc.subject.classification
Otras Ciencias Físicas
dc.subject.classification
Ciencias Físicas
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CIENCIAS NATURALES Y EXACTAS
dc.title
On a generalized entropic uncertainty relation in the case of the qubit
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2020-04-02T15:09:13Z
dc.journal.volume
46
dc.journal.number
46
dc.journal.pagination
465301-465317
dc.journal.pais
Reino Unido
dc.journal.ciudad
Londres
dc.description.fil
Fil: Zozor, Steeve. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
dc.description.fil
Fil: Bosyk, Gustavo Martin. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
dc.description.fil
Fil: Portesi, Mariela Adelina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina
dc.journal.title
Journal of Physics A: Mathematical and Theoretical
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/1751-8121/46/46/465301/article?fromSearchPage=true
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1088/1751-8113/46/46/465301
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