Tight entropic uncertainty relations for systems with dimension three to five

We consider two (natural) families of observables $O_k$ for systems with dimension $d=3,4,5$: the spin observables $S_x$, $S_y$ and $S_z$, and the observables that have mutually unbiased bases as eigenstates. We derive tight entropic uncertainty relations for these families, in the form $\sum_kH(O_k)\geqslant\alpha_d$, where $H(O_k)$ is the Shannon entropy of the measurement outcomes of $O_k$ and $\alpha_d$ is a constant. We show that most of our bounds are stronger than previously known ones. We also give the form of the states that attain these inequalities

State independent uncertainty relations from eigenvalue minimization

We consider uncertainty relations that give lower bounds to the sum of variances. Finding such lower bounds is typically complicated, and efficient procedures are known only for a handful of cases. In this paper we present procedures based on finding the ground state of appropriate Hamiltonian operators, which can make use of the many known techniques developed to this aim. To demonstrate the simplicity of the method we analyze multiple instances, both previously known and novel, that involve two or more observables, both bounded and unbounded.Comment: 14 pages, 3 figure

Multipartite steering inequalities based on entropic uncertainty relations

We investigate quantum steering for multipartite systems by using entropic uncertainty relations. We introduce entropic steering inequalities whose violation certifies the presence of different classes of multipartite steering. These inequalities witness both steerable states and genuine multipartite steerable states. Furthermore, we study their detection power for several classes of states of a three-qubit system.Comment: 3 figure

Remarks on the Tithonian- Berriasian ammonite biostratigraphy of west central Argentina

Fil: Riccardi, Alberto Carlos. División Paleozoología Invertebrados. Facultad de Ciencias Naturales y Museo. Universidad Nacional de La Plata; Argentin

Gerd E.G. Westermann (11.05.1927-5.11.2014)

Fil: Riccardi, Alberto Carlos. División Paleozoología Invertebrados. Facultad de Ciencias Naturales y Museo. Universidad Nacional de La Plata; Argentin

El personal del Museo de La Plata entre 1890 y 1896

Fil: Riccardi, Alberto Carlos. División Paleozoología Invertebrados. Facultad de Ciencias Naturales y Museo. Universidad Nacional de La Plata; Argentin

Estudios del Museo de La Plata sobre invertebrados fósiles de la región de Malvinas y Antártida (1952-2012)

Fil: Riccardi, Alberto Carlos. División Paleozoología Invertebrados. Facultad de Ciencias Naturales y Museo. Universidad Nacional de La Plata; Argentin

Carlos Andrés Tremouilles : 1914-1984

Fil: Riccardi, Alberto Carlos. División Paleozoología Invertebrados. Facultad de Ciencias Naturales y Museo. Universidad Nacional de La Plata; Argentin

First teuthid cephalopod from the Lower Jurassic of South America (Neuquén Basin, Argentina)

A new species of squid, Teudopsis jeletzkyi n. sp., is described from the Toarcian (Lower Jurassic) of the Los Molles Formation in Neuquen Province, central west Argentina. Fossil squids have thus far been unknown in the Mesozoic of South America. This species is the first record of the Order Teuthida in the Jurassic of South America.Facultad de Ciencias Naturales y MuseoConsejo Nacional de Investigaciones Científicas y Técnica