Finite‐Size Analysis of Thermal States Quantum Cryptography with the Optimal Noise

2021 ◽  
pp. 2100268
Author(s):  
Fangli Yang ◽  
Daowen Qiu ◽  
Liuping Chen ◽  
Xiangkui Wan
Keyword(s):  
Quantum Cryptography ◽  
Finite Size ◽  
Size Analysis ◽  
Thermal States

Finite-size analysis and the influence of the cross-section shape of the granular column collapses

2021 ◽  
Author(s):  
Teng Man ◽  
Herbert Huppert ◽  
Ling Li ◽  
Sergio Galindo-Torres
Keyword(s):  
Size Effect ◽  
Cross Section ◽  
Finite Size ◽  
Size Analysis ◽  
Cross Section Shape ◽  
Section Shape ◽  
The Cross ◽  
Shape Influence ◽  
Deposition Morphology ◽  
Granular Column

<p>The collapse of granular columns, which sheds light on the kinematics, dynamics, and deposition morphology of mass-driven flows, is crucial for understanding complex flows in both natural and engineering systems, such as debris flows and landslides. However, our research shows that a strong size effect and cross-section shape influence exist in this test. Thus, it is essential to better understand these effects. In this study, we explore the influence of both relative column sizes and cross-section shapes on the run-out behavior of collapsed granular columns and analyze their influence on the deposition morphology with the discrete element method (DEM) with Voronoi-based spheropolyhedron particles. We link the size effect that occurs in granular column collapse problems to the finite-size scaling functions and investigate the characteristic correlation length associated with the granular column collapses. The collapsing behavior of granular columns with different cross-section shapes is also studied, and we find that particles tend to accumulate in the direction normal to the edge of the cross-section instead of the vertex of it. The differences in the run-out behavior in different directions when the cross-section is no longer a circle can also be explained by the finite-size analysis we have performed in this study. We believe that such a study is crucial for us to better understand how granular material flows, how it deposits, and how to consider the size effect in the rheology of granular flows.</p>

Characterizing Fractal and Hierarchical Morphologies Beyond the Fractal Dimension

1994 ◽  
Vol 367 ◽  
Author(s):  
Raphael Blumenfeld ◽  
Robin C. Ball
Keyword(s):  
Asymptotic Behavior ◽  
Fractal Dimension ◽  
Finite Size ◽  
Size Analysis ◽  
Corrections To Scaling ◽  
Diffusion Limited Aggregation ◽  
Diffusion Limited ◽  
Markovian Processes ◽  
Branching Patterns ◽  
Admissible Solutions

AbstractWe present a novel correlation scheme to characterize the morphology of fractal and hierarchical patterns beyond traditional scaling. The method consists of analysing correlations between more than two-points in logarithmic coordinates. This technique has several advantages: i) It can be used to quantify the currently vague concept of morphology; ii) It allows to distinguish between different signatures of structures with similar fractal dimension but different morphologies already for relatively small systems; iii) The method is sensitive to oscillations in logarithmic coordinates, which are both admissible solutions for renormalization equations and which appear in many branching patterns (e.g., noise-reduced diffusion-limited-aggregation and bronchial structures); iv) The methods yields information on corrections to scaling from the asymptotic behavior, which is very useful in finite size analysis. Markovian processes are calculated exactly and several structures are analyzed by this method to demonstrate its advantages.

Finite-size analysis of continuous-variable quantum key distribution with entanglement in the middle

2019 ◽  
Vol 28 (1) ◽  
pp. 010305 ◽  
Author(s):  
Ying Guo ◽  
Yu Su ◽  
Jian Zhou ◽  
Ling Zhang ◽  
Duan Huang
Keyword(s):  
Quantum Key Distribution ◽  
Finite Size ◽  
Key Distribution ◽  
Continuous Variable ◽  
Size Analysis

Averaging and finite-size analysis for disorder: The Hopfield model

1996 ◽  
Vol 232 (1-2) ◽  
pp. 61-73 ◽  
Author(s):  
Thomas Stiefvater ◽  
Klaus-Robert Müller ◽  
Reimer Kühn
Keyword(s):  
Finite Size ◽  
Hopfield Model ◽  
Size Analysis

scholarly journals Scherrer grain-size analysis adapted to grazing-incidence scattering with area detectors

2009 ◽  
Vol 42 (6) ◽  
pp. 1030-1034 ◽  
Author(s):  
Detlef-M. Smilgies
Keyword(s):  
Grain Size ◽  
Finite Size ◽  
Grazing Incidence ◽  
Limiting Factors ◽  
Grain Size Analysis ◽  
Size Analysis ◽  
X Ray Scattering ◽  
Scattering Geometry ◽  
Scherrer Formula ◽  
Basic Features

Ever since its formulation, the Scherrer formula has been the workhorse for quantifying finite size effects in X-ray scattering. Various aspects of Scherrer-type grain-size analysis are discussed with regard to the characterization of thin films with grazing-incidence scattering methods utilizing area detectors. After a brief review of the basic features of Scherrer analysis, a description of resolution-limiting factors in grazing-incidence scattering geometry is provided. As an application, the CHESS D1 beamline is characterized for typical scattering modes covering length scales from the molecular scale to the nanoscale.

Sign in / Sign up

Export Citation Format

Share Document