scholarly journals Information Gain versus State Disturbance for a Single Qubit

2006 ◽  
Vol 13 (01) ◽  
pp. 1-16 ◽  
Author(s):  
Konrad Banaszek
Keyword(s):  
Shannon Entropy ◽  
Pure State ◽  
Information Gain ◽  
The State ◽  
Trade Off ◽  
Invariant Functions ◽  
Output State ◽  
Quantum Operations ◽  
Single Qubit

The trade-off between the information gain and the state disturbance is derived for quantum operations on a single qubit prepared in a uniformly distributed pure state. The derivation is valid for a class of measures quantifying the state disturbance and the information gain which satisfy certain invariance conditions. This class includes in particular the Shannon entropy versus the operation fidelity. The central role in the derivation is played by efficient quantum operations, which leave the system in a pure output state for any measurement outcome. It is pointed out that the optimality of efficient quantum operations among those inducing a given operator-valued measure is related to Davies' characterization of convex invariant functions on hermitian operators.

scholarly journals On equicontinuous factors of flows on locally path-connected compact spaces

2020 ◽  
pp. 1-18
Author(s):  
NIKOLAI EDEKO
Keyword(s):  
Lie Group ◽  
Metric Space ◽  
Betti Number ◽  
Alternative Proof ◽  
Simple Consequence ◽  
Compact Metric Space ◽  
Invariant Functions ◽  
Compact Spaces ◽  
Path Connected

Abstract We consider a locally path-connected compact metric space K with finite first Betti number $\textrm {b}_1(K)$ and a flow $(K, G)$ on K such that G is abelian and all G-invariant functions $f\,{\in}\, \text{\rm C}(K)$ are constant. We prove that every equicontinuous factor of the flow $(K, G)$ is isomorphic to a flow on a compact abelian Lie group of dimension less than ${\textrm {b}_1(K)}/{\textrm {b}_0(K)}$ . For this purpose, we use and provide a new proof for Theorem 2.12 of Hauser and Jäger [Monotonicity of maximal equicontinuous factors and an application to toral flows. Proc. Amer. Math. Soc.147 (2019), 4539–4554], which states that for a flow on a locally connected compact space the quotient map onto the maximal equicontinuous factor is monotone, i.e., has connected fibers. Our alternative proof is a simple consequence of a new characterization of the monotonicity of a quotient map $p\colon K\to L$ between locally connected compact spaces K and L that we obtain by characterizing the local connectedness of K in terms of the Banach lattice $\textrm {C}(K)$ .

Hamilton–Jacobi characterization of the state constrained value

2005 ◽  
Vol 61 (5) ◽  
pp. 725-734 ◽  
Author(s):  
F.H. Clarke ◽  
R.J. Stern
Keyword(s):  
The State

scholarly journals On Uncertainty Relations and Entanglement Detection with Mutually Unbiased Measurements

2015 ◽  
Vol 22 (01) ◽  
pp. 1550005 ◽  
Author(s):  
Alexey E. Rastegin
Keyword(s):  
The State ◽  
Uncertainty Relations ◽  
Trade Off ◽  
Entropic Uncertainty Relations ◽  
Finite Dimensional ◽  
State Dependent ◽  
Entanglement Detection

We formulate some properties of a set of several mutually unbiased measurements. These properties are used for deriving entropic uncertainty relations. Applications of mutually unbiased measurements in entanglement detection are also revisited. First, we estimate from above the sum of the indices of coincidence for several mutually unbiased measurements. Further, we derive entropic uncertainty relations in terms of the Rényi and Tsallis entropies. Both the state-dependent and state-independent formulations are obtained. Using the two sets of local mutually unbiased measurements, a method of entanglement detection in bipartite finite-dimensional systems may be realized. A certain trade-off between a sensitivity of the scheme and its experimental complexity is discussed.

scholarly journals Characterization of accidents involving tractors in Brazilian federal highways in the state of Minas Gerais

2015 ◽  
Vol 10 (31) ◽  
pp. 3049-3055 ◽  
Author(s):  
Ximenes Siqueira Macedo Deivielison ◽  
de Almeida Monteiro Leonardo ◽  
Castro dos Santos Viviane ◽  
Alessandro Chioderoli Carlos ◽  
Albiero Daniel
Keyword(s):  
Minas Gerais ◽  
The State

scholarly journals Characterization of Veterans’ Poisoning Events in the State of Florida

2015 ◽  
Vol 03 (02) ◽  
pp. 17-23
Author(s):  
G. T. Johnson ◽  
J. White ◽  
C. Younger ◽  
P. Xu ◽  
A. Abrittis ◽  
...  
Keyword(s):  
The State

scholarly journals Epidemiological and sociodemographic characterization of women and men with cancer in a State in the Brazilian Amazon

2020 ◽  
Vol 8 (6) ◽  
pp. 545-576
Author(s):  
Carlos Alberto Paraguassu Chaves ◽  
Allan Kardec Duailibe Barros Filho ◽  
Carlos de Andrade Macieira ◽  
Fabrício Moraes de Almeida ◽  
Lenita Rodrigues Moreira Dantas ◽  
...  
Keyword(s):  
The State ◽  
Primary Data ◽  
Cross Sectional ◽  
Unified Health System ◽  
Informed Consent Form ◽  
Health Council ◽  
Reference Hospital ◽  
Therapeutic Procedures ◽  
Epidemiological Profile

Objective: Objective: Analyzes the epidemiological and sociodemographic characterization of women and men with cancer in the State of Rondônia, Western Amazon (Brazil), diagnosed over a period of 2 (two) years. Materials and Methods: It is a documentary, cross-sectional and descriptive study, with the systematization of primary data, according to the methodological model recommended by Paraguassú-Chaves et al [25]. We used an instrument developde by Paraguassu-Chaves et al [26], semi-structured, divided into two blocks: (a) Block I – sociodemographic profile and (b) Block II – epidemiological profile. The Ethics Committee on Human Research at the reference hospital was asked to waive the Informed Consent Form. The research project is in accordance with Resolution 196/96 of the National Health Council of Brazil. Results: Of the 3.333 new cases of cancer, 53.4% ​​were female and 46.5% male. The 10 (ten) most common types of cancer among men and women in Rondônia over a 2-year period were non-melanoma skin (C44), breast (C50), prostate (C61), cervix (C53), stomach (C16), thyroid gland (C73), bronchi and lungs (C33-C34), colon (C18), reticuloendothelial hematopoietic system (C42) and rectal cancer (C20). An age range of 50 to 69 years was predominant in both sexes and patients with low educational level. The highest frequency was for married patients. There was a predominance of brown skin, patients born in the State of Rondônia (22.6%) and agricultural workers. The Unified Health System - SUS was responsible for the entry for treatment of 99.5% of patients. Most patients underwent “other isolated therapeutic procedures” and with the disease in advanced stages. Conclusions: The estimate of new cancer cases in Rondônia follows an increasing trend. The scenarios selected from the variables of the sociodemographic and epidemiological indicators of the research require the public health authorities of Rondônia, urgent redirection of actions and strategies for the prevention, control, assistance and treatment of cancer in women and men in Rondônia.

scholarly journals CONHECENDO A PESCA ARTESANAL EM TRAMANDAÍ E IMBÉ – RS: DISTRIBUIÇÃO ESPACIAL E DESAFIOS

2017 ◽  
Vol 39 (2) ◽  
pp. 341
Author(s):  
Abraão Martins Terceiro
Keyword(s):  
Spatial Distribution ◽  
Rio Grande ◽  
Economic Importance ◽  
The State ◽  
Artisanal Fisheries ◽  
Rio Grande Do Sul ◽  
Popular Knowledge

The work deals with the theme artisanal fisheries and has as main objective, the characterization of the activity in the municipalities of Tramandaí and Imbé, located in the State of Rio Grande do Sul, the spatial distribution and the challenges to occur fisheries in this region. The research is justified by the large number of fishermen in the study area and the economic importance of the activity, mapping through popular knowledge areas of greatest value for fishing, the main existing species and the main features and instruments used in fish capture.

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