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The position density of a "particle" performing a continuous-time quantum walk on the integer lattice, viewed on length scales inversely proportional to the time t, converges (as t tends to infinity) to a probability distribution that…

Quantum Physics · Physics 2013-05-29 Alex D. Gottlieb

This is to reply to the comment of Kenigsberg and Mor on our previous work ``Efficient many-party controlled teleportation of multi-qubit quantum information via entanglement''[Phys. Rev. A 70, 022329 (2004)].

Quantum Physics · Physics 2007-05-23 Chui-Ping Yang

Recently, a new and efficient algorithm (the LLR method) has been proposed for computing densities of states in statistical systems and gauge theories. In this talk, we explore whether this novel density of states method can be applied to…

High Energy Physics - Lattice · Physics 2014-11-04 Biagio Lucini , Kurt Langfeld

We present modified Wang-Landau algorithm for models with continuous degrees of freedom. We demonstrate this algorithm with the calculation of the joint density of states $g(M,E)$ of ferromagnet Heisenberg models. The joint density of…

Statistical Mechanics · Physics 2009-11-11 Chenggang Zhou , T. C. Schulthess , Stefan Torbrügge , D. P. Landau

D. Wilson~\cite{[Wi]} in the 1990's described a simple and efficient algorithm based on loop-erased random walks to sample uniform spanning trees and more generally weighted trees or forests spanning a given graph. This algorithm provides a…

Probability · Mathematics 2018-08-29 L. Avena , F. Castell , A. Gaudilliere , C. Melot

Rejoinder of "Estimating Random Effects via Adjustment for Density Maximization" by C. Morris and R. Tang [arXiv:1108.3234]

Methodology · Statistics 2011-08-22 Carl Morris

The Landau distribution as well as its first and second momenta are well suited for describing the energy loss of charged particles traversing a thin layer of matter. At present, just rational approximations and asymptotic expressions for…

High Energy Physics - Phenomenology · Physics 2009-11-10 Marcelo D. Marucho , C. A. Garcia Canal , H. Fanchiotti

We apply results from Baryshnikov, Brady, Bressler and Pemantle (2008) to compute limiting probability profiles for various quantum random walks in one and two dimensions. Using analytic machinery we show some features of the limit…

Combinatorics · Mathematics 2009-11-23 Andrew Bressler , Torin Greenwood , Robin Pemantle , Marko Petkovsek

Community detection, as well as the identification of other structures like core periphery and disassortative patterns, is an important topic in network analysis. While most methods seek to find the best partition of the network according…

Social and Information Networks · Computer Science 2024-10-25 Rudy Arthur

We propose a new model for a measurement of a characteristic of a microscopic quantum state by a large system that selects stochastically the different eigenstates with appropriate quantum weights. Unlike previous works which formulate a…

Quantum Physics · Physics 2009-01-24 Fariel Shafee

We revisit the one dimensional discrete time quantum walk with 3 states and the Grover coin. We derive analytic expressions for observed the localization, an long time approximation for the probability density function (PDF). We also…

Quantum Physics · Physics 2014-10-29 Stefan Falkner , Stefan Boettcher

Comment on F. Wilhelm et al., Phys. Rev. Lett. 87, 207202 (2001)

Materials Science · Physics 2009-11-10 R. Tyer , G. van der Laan , W. M. Temmerman , Z. Szotek

We show that a histogram maintained throughout the Wang-Landau (WL) sampling for the energy entries visited during the simulation could be used to make the simulated density of states (DOS) converge. The method is easy to be implemented to…

Statistical Mechanics · Physics 2016-06-20 Shijun Lei

By combining two generalized-ensemble algorithms, Replica-Exchange Wang-Landau (REWL) method and Multicanonical Replica-Exchange Method (MUCAREM), we propose an effective simulation protocol to determine the density of states with high…

Statistical Mechanics · Physics 2019-10-23 Takuya Hayashi , Yuko Okamoto

The Wang-Landau algorithm aims at sampling from a probability distribution, while penalizing some regions of the state space and favoring others. It is widely used, but its convergence properties are still unknown. We show that for some…

Statistics Theory · Mathematics 2015-03-19 Pierre E. Jacob , Robin J. Ryder

We present a method for estimating the density of states of a classical statistical model. The algorithm successfully combines the Wang-Landau flat histogram method with the N-fold way in order to improve efficiency of the original single…

Statistical Mechanics · Physics 2009-11-07 B. J. Schulz , K. Binder , M. Mueller

A comment to the paper by S. Chen, H. B\"uttner, and J. Voit, [Phys. Rev. Lett. {\bf 87}, 087205 (2001)].

Strongly Correlated Electrons · Physics 2009-11-07 Luca Capriotti , Federico Becca , Sandro Sorella , Alberto Parola

With regard to the recently published article, ``Y.-Q. Wang, et al., Physical mechanism of equiprobable exclusion network with heterogeneous interactions in phase transitions: Analytical analyses of steady state evolving from initial state,…

Statistical Mechanics · Physics 2022-01-19 Takahiro Ezaki

A Comment on the Letter by M. Rupp et al., Phys. Rev. Lett. 108 058301 (2012).

Materials Science · Physics 2012-08-07 Jonathan E. Moussa