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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：A novel and faster quantum-inspired algorithm for solving linear systems
线性系统 新颖 量子衍生算法
2023/4/14
In this talk, we introduce a modified classical algorithm to solve linear systems in a model that resembles the QRAM used by quantum linear solvers. Specifically, we demonstrate that for the linear sy...
Brown mathematicians’ algorithm to serve as cryptography standard for quantum computing era（图）
算法 量子计算 密码学标准
2022/9/21
The federal government selected four algorithms to serve as standards for public key security in the pending era of quantum computers, three of which are based on technology devised by a team of Brown...
Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：An overlapping domain decomposition splitting algorithm for stochastic NLS equation
随机NLS方程 重叠域 分解拆分 非线性薛定谔方程
2022/1/12
In this talk, we will introduce a novel overlapping domain decomposition splitting algorithm based on a Crank--Nisolson method is developed for the stochastic NLS equation driven by a multiplicative n...
Superfluid-Insulator Transition in Commensurate Disordered Bosonic Systems: Large-Scale Worm Algorithm Simulations
Monte carlo simulation insulator dynamics
2014/12/20
We report results of large-scale Monte Carlo simulations of superfluid-insulator transitions in disordered commensurate 2D bosonic systems. In the off-diagonal disorder case, we find that the transiti...
Worm Algorithm for Continuous-Space Path Integral Monte Carlo Simulations
Integral monte carlo method the worm simulation lattice model the continuous spatial multibody system thermodynamics
2014/12/20
We present a new approach to path integral Monte Carlo (PIMC) simulations based on the worm algorithm, originally developed for lattice models and extended here to continuous-space many-body systems. ...
Worm algorithm and diagrammatic Monte Carlo: A new approach to continuous-space path integral Monte Carlo simulations
Worm algorithm quantum multibody system thermodynamic properties continuous space
2014/12/20
A detailed description is provided of a new worm algorithm, enabling the accurate computation of thermodynamic properties of quantum many-body systems in continuous space, at finite temperature. The a...
Worm Algorithm for Problems of Quantum and Classical Statistics
Quantum phase transition worms algorithm and strength
2014/12/19
This is a chapter of the multi-author book “Understanding Quantum Phase Transitions,” edited by Lincoln Carr and published by Taylor & Francis. In this chapter, we give a general introduction to the w...
Reconstructing Structured Sparse Signals from Compressive Samples via a Max-Product EM Algorithm
Belief propagation expectation maximization (EM) algorithm hidden Markovtree(HMT) max-productalgo-rithm,structured sparsity,sparse signal reconstruction.
2012/9/22
We propose a Bayesian expectation-maximization (EM) algorithm for reconstructing structured approximately sparse signals via belief propagation. The measurements follow an underdetermined linear model...
How to produce discreet Gaussian sequences: Algorithm and code
gaussian distribution random sequence algorithm code
2011/7/17
Abstract: Algorithm and code to produce sequences whose members obey Gaussian distribution function is reported. Discreet and limited number of groups are defined in the distribution function, where e...
Median Algorithm for Sector Spectra Calculation from Images Registered by the Spectral Airglow Temperature Imager
Spectral Airglow Temperature imager sector temperature sector spectre median filter
2011/7/11
Abstract: The Spectral Airglow Temperature Imager is an instrument, specially designed for investigation of the wave processes in the Mesosphere-Lower Thermosphere. In order to determine the kinematic...
The su(n) WZNW fusion ring as integrable model: a new algorithm to compute fusion coefficients
Quantum integrable models Plactic algebra Bethe Ansatz Fusion ring Verlinde algebra
2011/6/27
Abstract: This is a proceedings article reviewing a recent combinatorial construction of the su(n) WZNW fusion ring by C. Stroppel and the author. It contains one novel aspect: the explicit derivation...
An efficient algorithm for the computation of the trace of the symmetrized product of an arbitrary number of Dirac matrices with two indices
Clifford algebra and Dirac matrices Field theories in higher dimensions Computer algebra
2011/6/8
An efficient algorithm for the computation of the trace of the symmetrized product of an arbitrary number of Dirac matrices with two indices.
Algorithm xxx: computing the Faddeyeva and Voigt functions
Faddeyeva Voigt functions computing Mathematical Physics
2011/6/1
Abstract: We present a MATLAB function for the numerical evaluation of the Faddeyeva function w(z). The function is based on a newly developed accurate algorithm. In addition to its higher accuracy, t...
A simple protocol for the probability weights of the simulated tempering algorithm: applications to first-order phase transitions
simulated tempering first-order phase transitions eigenvalues of the transfer matrix Ising and lattice-gas models
2010/11/11
The simulated tempering (ST) is an important method to deal with systems whose phase spaces are hard to sample ergodically. However, it uses accepting probabilities weights which often demand involvin...
Recently, the idea of classical Metropolis sampling through Markov chains has been generalized for quantum Hamiltonians. However, the underlying Markov chain of this algorithm is still classical in na...