Results 41 to 50 of about 2,534,683 (266)
Matrix product state renormalization
, 2016 The truncation or compression of the spectrum of Schmidt values is inherent to the matrix product state (MPS) approximation of one-dimensional quantum ground states.
Bal, Matthias +4 more
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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
doaj +1 more source
Quantum phase transitions in matrix product systems [PDF]
, 2005 We investigate quantum phase transitions (QPTs) in spin chain systems characterized by local Hamiltonians with matrix product ground states. We show how to theoretically engineer such QPT points between states with predetermined properties. While some of
Cirac, J. Ignacio +3 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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Revisiting Matrix Product on Master-Worker Platforms [PDF]
, 2006 This paper is aimed at designing efficient parallel matrix-product algorithms for heterogeneous master-worker platforms. While matrix-product is well-understood for homogeneous 2D-arrays of processors (e.g., Cannon algorithm and ScaLAPACK outer product ...
Dongarra, Jack +5 more
core +17 more sources
The Reverse Order Law for the {1,3M,4N}—The Inverse of Two Matrix Products
AxiomsBy using the maximal and minimal ranks of some generalized Schur complement, the equivalent conditions for the reverse order law (AB){1,3M,4K}=B{1,3N,4K}A{1,3M,4N} are presented.
Yingying Qin, Baifeng Qiu, Zhiping Xiong
doaj +1 more source
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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Classification of Matrix-Product Unitaries with Symmetries [PDF]
, 2019 We prove that matrix-product unitaries (MPUs) with on-site unitary symmetries are completely classified by the (chiral) index and the cohomology class of the symmetry group $G$, provided that we can add trivial and symmetric ancillas with arbitrary on ...
Cirac, J. Ignacio +3 more
core +3 more sources
Gaussian Matrix Product States
, 2008 This work originally appeared as Sec. VII of quant-ph/0509166, and is published in the Proceedings on the conference on Quantum information and many body quantum systems, edited by M. Ericsson and S. Montangero, pg. 129 (Edizioni della Normale, Pisa, 2008)
Schuch, N., Cirac, J., Wolf, M.
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Quantum verification of matrix products [PDF]
Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm - SODA '06, 2006 15 pages, submitted; v2: rewritten, clarified, and fixed some ...
Buhrman, H.M., Spalek, R.
openaire +3 more sources