FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W3100992967> ?p ?o ?g. }

• W3100992967 endingPage "495302" @default.
• W3100992967 startingPage "495302" @default.
• W3100992967 abstract "We revisit entropic formulations of the uncertainty principle for an arbitrary pair of positive operator-valued measures (POVM) $A$ and $B$, acting on finite dimensional Hilbert space. Salicr'u generalized $(h,phi)$-entropies, including R'enyi and Tsallis ones among others, are used as uncertainty measures associated with the distribution probabilities corresponding to the outcomes of the observables. We obtain a nontrivial lower bound for the sum of generalized entropies for any pair of entropic functionals, which is valid for both pure and mixed states. The bound depends on the overlap triplet $(c_A,c_B,c_{A,B})$ with $c_A$ (resp. $c_B$) being the overlap between the elements of the POVM $A$ (resp. $B$) and $c_{A,B}$ the overlap between the pair of POVM. Our approach is inspired by that of de Vicente and S'anchez-Ruiz [Phys. Rev. A textbf{77}, 042110 (2008)] and consists in a minimization of the entropy sum subject to the Landau-Pollak inequality that links the maximum probabilities of both observables. We solve the constrained optimization problem in a geometrical way and furthermore, when dealing with R'enyi or Tsallis entropic formulations of the uncertainty principle, we overcome the Holder conjugacy constraint imposed on the entropic indices by the Riesz-Thorin theorem. In the case of nondegenerate observables, we show that for given $c_{A,B} > frac{1}{sqrt2}$, the bound obtained is optimal; and that, for R'enyi entropies, our bound improves Deutsch one, but Maassen-Uffink bound prevails when $c_{A,B} leqfrac12$. Finally, we illustrate by comparing our bound with known previous results in particular cases of R'enyi and Tsallis entropies." @default.
• W3100992967 created "2020-11-23" @default.
• W3100992967 creator A5079737709 @default.
• W3100992967 creator A5087548623 @default.
• W3100992967 creator A5090329151 @default.
• W3100992967 date "2014-11-20" @default.
• W3100992967 modified "2023-10-16" @default.
• W3100992967 title "General entropy-like uncertainty relations in finite dimensions" @default.
• W3100992967 cites W1507476386 @default.
• W3100992967 cites W1590757293 @default.
• W3100992967 cites W1626361632 @default.
• W3100992967 cites W1667026800 @default.
• W3100992967 cites W1711208845 @default.
• W3100992967 cites W1964063389 @default.
• W3100992967 cites W1965626588 @default.
• W3100992967 cites W1975446074 @default.
• W3100992967 cites W1975584024 @default.
• W3100992967 cites W1983874169 @default.
• W3100992967 cites W1987172889 @default.
• W3100992967 cites W1988565257 @default.
• W3100992967 cites W1993562512 @default.
• W3100992967 cites W1996025010 @default.
• W3100992967 cites W2000370840 @default.
• W3100992967 cites W2001257482 @default.
• W3100992967 cites W2009419862 @default.
• W3100992967 cites W2012016549 @default.
• W3100992967 cites W2012659421 @default.
• W3100992967 cites W2013881510 @default.
• W3100992967 cites W2014975899 @default.
• W3100992967 cites W2022028155 @default.
• W3100992967 cites W2024009312 @default.
• W3100992967 cites W2025644344 @default.
• W3100992967 cites W2028850464 @default.
• W3100992967 cites W2032698344 @default.
• W3100992967 cites W2034442087 @default.
• W3100992967 cites W2039255727 @default.
• W3100992967 cites W2040362900 @default.
• W3100992967 cites W2042601507 @default.
• W3100992967 cites W2046535252 @default.
• W3100992967 cites W2056086109 @default.
• W3100992967 cites W2057180031 @default.
• W3100992967 cites W2057233237 @default.
• W3100992967 cites W2058913783 @default.
• W3100992967 cites W2059431686 @default.
• W3100992967 cites W2059678209 @default.
• W3100992967 cites W2062618427 @default.
• W3100992967 cites W2065117079 @default.
• W3100992967 cites W2069140304 @default.
• W3100992967 cites W2071647555 @default.
• W3100992967 cites W2071994113 @default.
• W3100992967 cites W2075138946 @default.
• W3100992967 cites W2077384199 @default.
• W3100992967 cites W2078210981 @default.
• W3100992967 cites W2084502203 @default.
• W3100992967 cites W2087910039 @default.
• W3100992967 cites W2088325035 @default.
• W3100992967 cites W2088529110 @default.
• W3100992967 cites W2088696280 @default.
• W3100992967 cites W2090099030 @default.
• W3100992967 cites W2091693476 @default.
• W3100992967 cites W2094654291 @default.
• W3100992967 cites W2099294566 @default.
• W3100992967 cites W2109943725 @default.
• W3100992967 cites W2118932052 @default.
• W3100992967 cites W2156976736 @default.
• W3100992967 cites W2159410513 @default.
• W3100992967 cites W2167839759 @default.
• W3100992967 cites W2320045903 @default.
• W3100992967 cites W2332809074 @default.
• W3100992967 cites W2952913674 @default.
• W3100992967 cites W2993383518 @default.
• W3100992967 cites W3098857864 @default.
• W3100992967 cites W3099896948 @default.
• W3100992967 cites W3101325722 @default.
• W3100992967 cites W3102179809 @default.
• W3100992967 cites W3103630501 @default.
• W3100992967 cites W3106107679 @default.
• W3100992967 cites W360650912 @default.
• W3100992967 cites W4205350838 @default.
• W3100992967 cites W4210733153 @default.
• W3100992967 cites W4240906956 @default.
• W3100992967 doi "https://doi.org/10.1088/1751-8113/47/49/495302" @default.
• W3100992967 hasPublicationYear "2014" @default.
• W3100992967 type Work @default.
• W3100992967 sameAs 3100992967 @default.
• W3100992967 citedByCount "48" @default.
• W3100992967 countsByYear W31009929672015 @default.
• W3100992967 countsByYear W31009929672016 @default.
• W3100992967 countsByYear W31009929672017 @default.
• W3100992967 countsByYear W31009929672018 @default.
• W3100992967 countsByYear W31009929672019 @default.
• W3100992967 countsByYear W31009929672020 @default.
• W3100992967 countsByYear W31009929672021 @default.
• W3100992967 countsByYear W31009929672022 @default.
• W3100992967 countsByYear W31009929672023 @default.
• W3100992967 crossrefType "journal-article" @default.
• W3100992967 hasAuthorship W3100992967A5079737709 @default.
• W3100992967 hasAuthorship W3100992967A5087548623 @default.

• next