English
Related papers

Related papers: Stochastic $R$ matrix for $U_q(A^{(1)}_n)$

200 papers

Let S be a denumerable state space and let P be a transition probability matrix on S. If a denumerable set M of nonnegative matrices is such that the sum of the matrices is equal to P, then we call M a partition of P. Let K denote the set…

Probability · Mathematics 2011-03-08 Thomas Kaijser

We give a simple argument to derive the transformation of quantum stochastic calculus formalism between inertial observers, and derive the quantum open system dynamics for a system moving in a vacuum (more generally coherent) quantum field…

Quantum Physics · Physics 2025-10-07 J. E. Gough

We report on a systematic implementation of su(2) invariance for matrix product states (MPS) with concrete computations cast in a diagrammatic language. As an application we present a variational MPS study of $su(2)$ invariant quantum spin…

Statistical Mechanics · Physics 2015-05-28 Andreas Fledderjohann , Andreas Klümper , Karl-Heinz Mütter

We introduce a four-parameter family of interacting particle systems on the line which can be diagonalized explicitly via a complete set of Bethe ansatz eigenfunctions, and which enjoy certain Markov dualities. Using this, for the systems…

Probability · Mathematics 2019-06-07 Ivan Corwin , Leonid Petrov

We consider the problem of symmetrising a neural network along a group homomorphism: given a homomorphism $\varphi : H \to G$, we would like a procedure that converts $H$-equivariant neural networks to $G$-equivariant ones. We formulate…

Machine Learning · Statistics 2025-01-10 Rob Cornish

We propose a piecewise deterministic Markovian jump process in Hilbert space such that the covariance matrix of this stochastic process solves the thermodynamic quantum master equation. The proposed stochastic process is particularly simple…

Quantum Physics · Physics 2018-03-09 Hans Christian Öttinger

We consider a class of random quantum circuits where at each step a gate from a universal set is applied to a random pair of qubits, and determine how quickly averages of arbitrary finite-degree polynomials in the matrix elements of the…

Quantum Physics · Physics 2015-05-14 Winton G. Brown , Lorenza Viola

We develop fast and memory efficient numerical methods for learning functions of many variables that admit sparse representations in terms of general bounded orthonormal tensor product bases. Such functions appear in many applications…

Numerical Analysis · Mathematics 2020-05-11 Bosu Choi , Mark Iwen , Felix Krahmer

Macroscopic observables in a quantum spin system are given by sequences of spatial means of local elements $\frac{1}{2n+1}\sum_{j=-n}^n\gamma_j(A_{i}), \; n\in{\mathbb N},\; i=1,...,m$ in a UHF algebra. One of their properties is that they…

Operator Algebras · Mathematics 2013-04-03 Yoshiko Ogata

We study the limiting spectral distribution of large-dimensional sample covariance matrices associated with symmetric random tensors formed by $\binom{n}{d}$ different products of $d$ variables chosen from $n$ independent standardized…

Probability · Mathematics 2021-11-09 Pavel Yaskov

Representations of branching Markov processes and their measure-valued limits in terms of countable systems of particles are constructed for models with spatially varying birth and death rates. Each particle has a location and a "level,"…

Probability · Mathematics 2011-04-11 Thomas G. Kurtz , Eliane R. Rodrigues

We address a class of Markov jump linear systems that are characterized by the underlying Markov process being time-inhomogeneous with a priori unknown transition probabilities. Necessary and sufficient conditions for uniform stochastic…

Systems and Control · Computer Science 2014-11-24 Collin C. Lutz , Daniel J. Stilwell

In statistics, assuming samples are independent is reasonable. However, this property can fail to hold for the features, a distinction that has led to several lines of work aiming to remove the latter assumption of independence present in…

Probability · Mathematics 2026-02-03 Simona Diaconu

We show that conventional asymmetric chiral random matrix models (ChRMM), with a gaussian distribution in the asymmetry, provide for a screening of the topological charge and a resolution of the $U(1)$ problem in the unquenched…

High Energy Physics - Lattice · Physics 2009-10-28 Romuald A. Janik , Maciej A. Nowak , Gabor Papp , Ismail Zahed

We present a quantum algorithm for estimating the matrix determinant based on quantum spectral sampling. The algorithm estimates the logarithm of the determinant of an $n \times n$ positive sparse matrix to an accuracy $\epsilon$ in time…

Quantum Physics · Physics 2025-05-02 Vittorio Giovannetti , Seth Lloyd , Lorenzo Maccone

We analyze statistical properties of complex eigenvalues of random matrices $\hat{A}$ close to unitary. Such matrices appear naturally when considering quantized chaotic maps within a general theory of open linear stationary systems with…

Chaotic Dynamics · Physics 2009-10-31 Yan V. Fyodorov

This paper addresses the problem of solving nonlinear systems in the context of symmetric quantum signal processing (QSP), a powerful technique for implementing matrix functions on quantum computers. Symmetric QSP focuses on representing…

Quantum Physics · Physics 2023-07-25 Yulong Dong , Lin Lin , Hongkang Ni , Jiasu Wang

We provide numerical evidence that the quantum Fourier transform can be efficiently represented in a matrix product operator with a size growing relatively slowly with the number of qubits. Additionally, we numerically show that the tensors…

Quantum Physics · Physics 2014-06-05 Kieran J. Woolfe , Charles D. Hill , Lloyd C. L. Hollenberg

We study a uniform matrix product state as a variational state for classical and quantum spin chains in the thermodynamic limit. Under a careful treatment of the translational symmetry, eigen values of the transfer matrix defined in the…

Strongly Correlated Electrons · Physics 2011-02-11 Hiroshi Ueda , Isao Maruyama , Kouichi Okunishi

We calculate the autocorrelation functions (or shifted moments) of the characteristic polynomials of matrices drawn uniformly with respect to Haar measure from the groups U(N), O(2N) and USp(2N). In each case the result can be expressed in…

Mathematical Physics · Physics 2016-09-07 J. B. Conrey , D. W. Farmer , J. P. Keating , M. O. Rubinstein , N. C. Snaith
‹ Prev 1 8 9 10 Next ›