Results 41 to 50 of about 4,801,130 (303)
Matrix product and sum rule for Macdonald polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 We present a new, explicit sum formula for symmetric Macdonald polynomials Pλ and show that they can be written as a trace over a product of (infinite dimensional) matrices. These matrices satisfy the Zamolodchikov– Faddeev (ZF) algebra.
Luigi Cantini +2 more
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M-MATRIX-WP6.M1 - "DASHBOARDS OPERATIONAL WITHIN THE PILOT PARTICIPATING AGENCIES"
, 2022 M-MATRIX-WP6.M1 - “Dashboards operational within the pilot participating agencies” Milestone report for M1 of MATRIX ...
MATRIX
core +1 more source
Simulating non-equilibrium dynamics and finite temperature physics: efficient representations for matrix product states [PDF]
, 2021 Experimental advances have made it possible to realize and control quantum many-body systems, allowing the experimental study of non-equilibrium phenomena.
Kohn, Lucas
core
Lower Bounds for Matrix Product [PDF]
SIAM Journal on Computing, 2001 We prove lower bounds on the number of product gates in bilinear and quadratic circuits that compute the product of two $n \cross n$ matrices over finite fields. In particular we obtain the following results: 1. We show that the number of product gates in any bilinear (or quadratic) circuit that computes the product of two $n \cross n$ matrices over ...
openaire +5 more sources
Optimising Matrix Product State Simulations of Shor's Algorithm [PDF]
Quantum, 2019 We detail techniques to optimise high-level classical simulations of Shor's quantum factoring algorithm. Chief among these is to examine the entangling properties of the circuit and to effectively map it across the one-dimensional structure of a matrix ...
Aidan Dang +2 more
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Zero Triple Product Determined Matrix Algebras
Journal of Applied Mathematics, 2012 Let A be an algebra over a commutative unital ring C. We say that A is zero triple product determined if for every C-module X and every trilinear map {⋅,⋅,⋅}, the following holds: if {x,y,z}=0 whenever xyz=0, then there exists a C-linear operator T:A3⟶X ...
Hongmei Yao, Baodong Zheng
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Some determinantal inequalities for Hadamard and Fan products of matrices
Journal of Inequalities and Applications, 2016 In this note, we generalize some determinantal inequalities which are due to Lynn (Proc. Camb. Philos. 60:425-431, 1964), Chen (Linear Algebra Appl. 368:99-106, 2003) and Ando (Linear Multilinear Algebra 8:291-316, 1980).
Xiaohui Fu, Yang Liu
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Short notes: improved matrix product computation using double-pipeline systolic arrays
, 1988 A volume-efficient retimed hexagonal array for computing matrix product is described. The new array requires the same time as the well-known hex array of Kung and Leiserson but uses only half the hardware.
Megson, G.M., Evans, D.J.
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Out-of-equilibrium dynamics with matrix product states
New Journal of Physics, 2012 Theoretical understanding of strongly correlated systems in one spatial dimension has been greatly advanced by the density-matrix renormalization group (DMRG) algorithm, which is a variational approach using a class of entanglement-restricted states ...
M L Wall, Lincoln D Carr
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Exact bosonic Matrix Product States (and holography)
Journal of High Energy Physics, 2019 We derive an exact formula for a matrix product state (MPS) representation (or a PEPS in higher number of dimensions) of the ground state of translationally invariant bosonic lattice systems in terms of a single one-dimensional Euclidean quantum ...
Romuald A. Janik
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