Results 31 to 40 of about 10,519,625 (210)
Decomposition of matrix product states into shallow quantum circuits [PDF]
Quantum Science and Technology, 2022 Tensor networks (TNs) are a family of computational methods built on graph-structured factorizations of large tensors, which have long represented state-of-the-art methods for the approximate simulation of complex quantum systems on classical computers ...
Manuel S. Rudolph +4 more
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Generalized quantum measurements with matrix product states: Entanglement phase transition and clusterization [PDF]
Physical Review Research, 2021 We propose a method, based on matrix product states, for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement. Both the frequency and the strength of generalized measurements can be varied within
Elmer V. H. Doggen +4 more
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Magic of random matrix product states [PDF]
Physical review B, 2022 Magic, or nonstabilizerness, characterizes how far away a state is from the stabilizer states, making it an important resource in quantum computing, under the formalism of the Gotteman-Knill theorem.
Liyuan Chen +3 more
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Explicitly Correlated Electronic Structure Calculations with Transcorrelated Matrix Product Operators. [PDF]
Journal of Chemical Theory and Computation, 2022 In this work, we present the first implementation of the transcorrelated electronic Hamiltonian in an optimization procedure for matrix product states by the density matrix renormalization group (DMRG) algorithm.
Alberto Baiardi, M. Lesiuk, M. Reiher
semanticscholar +1 more source
Emergent Statistical Mechanics from Properties of Disordered Random Matrix Product States [PDF]
PRX Quantum, 2021 The study of generic properties of quantum states has led to an abundance of insightful results. A meaningful set of states that can be efficiently prepared in experiments are ground states of gapped local Hamiltonians, which are well approximated by ...
J. Haferkamp +3 more
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Efficiently Correcting Matrix Products [PDF]
Algorithmica, 2016 We study the problem of efficiently correcting an erroneous product of two $n\times n$ matrices over a ring. Among other things, we provide a randomized algorithm for correcting a matrix product with at most $k$ erroneous entries running in $\tilde{O}(n^2+kn)$ time and a deterministic $\tilde{O}(kn^2)$-time algorithm for this problem (where the ...
Gąsieniec, Leszek +4 more
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Structured matrix recovery from matrix‐vector products
Numerical Linear Algebra with Applications, 2023 AbstractCan one recover a matrix efficiently from only matrix‐vector products? If so, how many are needed? This article describes algorithms to recover matrices with known structures, such as tridiagonal, Toeplitz, Toeplitz‐like, and hierarchical low‐rank, from matrix‐vector products.
Diana Halikias, Alex Townsend
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A unique and novel graph matrix for efficient extraction of structural information of networks
Electronic Journal of Graph Theory and Applications, 2021 In this article, we propose a new type of square matrix associated with an undirected graph by trading off the natural embedded symmetry in them. The proposed matrix is defined using the neighbourhood sets of the vertices, called as neighbourhood matrix
Sivakumar Karunakaran +1 more
doaj +1 more source
Non-Markovian stochastic Schrödinger equation: Matrix-product-state approach to the hierarchy of pure states [PDF]
Physical Review A, 2021 We derive a stochastic hierarchy of matrix product states (HOMPS) for non-Markovian dynamics in open quantum system at finite temperature, which is numerically exact and efficient.
Xing Gao +3 more
semanticscholar +1 more source
Computational and Structural Biotechnology Journal, 2021 The high mutation rate in retroviruses is one of the leading causes of drug resistance. In human immunodeficiency virus type-1 (HIV-1), synergistic mutations in its protease and the protease substrate – the Group-specific antigen (Gag) polyprotein – work
Firdaus Samsudin +2 more
doaj +1 more source