Results 11 to 20 of about 1,129,252 (322)

Matrix product state representations [PDF]

Quantum Information and Computation, 2006
This work gives a detailed investigation of matrix product state (MPS) representations for pure multipartite quantum states. We determine the freedom in representations with and without translation symmetry, derive respective canonical forms and provide ...
D. Pérez-García, F. Verstraete, M. Wolf, J. Cirac   +3 more
semanticscholar   +9 more sources

Stochastic matrix product states [PDF]

Physical Review Letters, 2010
The concept of stochastic matrix product states is introduced and a natural form for the states is derived. This allows us to define the analogue of Schmidt coefficients for steady states of nonequilibrium stochastic processes.
Verstraete, Frank, Temme, Kristan
core   +6 more sources

Algebraic Geometry of Matrix Product States [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2014
. We quantify the representational power of matrix product states (MPS) for entangled qubit systems by giving polynomial expressions in a pure quantum state’s am-plitudes which hold if and only if the state is a translation invariant matrix product state
Andrew Critch, Jason Morton, Morton, J., Critch, A.   +3 more
core   +5 more sources

Unbiasing fermionic auxiliary-field quantum Monte Carlo with matrix product state trial wavefunctions [PDF]

Physical Review Research
In this work, we report, for the first time, an implementation of fermionic auxiliary-field quantum Monte Carlo (AFQMC) using matrix product state (MPS) trial wavefunctions, dubbed MPS-AFQMC. Calculating overlaps between an MPS trial and arbitrary Slater
Tong Jiang, Bryan O'Gorman, Ankit Mahajan, Joonho Lee   +3 more
doaj   +2 more sources

Matrix product state of multi-time correlations [PDF]

Journal of Physics A: Mathematical and Theoretical, 2019
For an interacting spatio-temporal lattice system we introduce a formal way of expressing multi-time correlation functions of local observables located at the same spatial point with a time state, i.e.
Katja Klobas, M. Vanicat, J. P. Garrahan, T. Prosen   +3 more
semanticscholar   +3 more sources

Matrix product state formulation of the multiconfiguration time-dependent Hartree theory [PDF]

Journal of Chemical Physics, 2018
A matrix product state formulation of the multiconfiguration time-dependent Hartree (MPS-MCTDH) theory is presented. The Hilbert space that is spanned by the direct products of the phonon degree of freedoms, which is linearly parameterized in the MCTDH ...
Yuki Kurashige, Kurashige Yuki
exaly   +2 more sources

Matrix Product State–Based Quantum Classifier [PDF]

Neural Computation, 2019
Interest in quantum computing has increased significantly. Tensor network theory has become increasingly popular and widely used to simulate strongly entangled correlated systems.
A. Bhatia, M. Saggi, Ajay Kumar, Sushma Jain   +3 more
semanticscholar   +5 more sources

Matrix product state description of Halperin states [PDF]

Physical Review B, 2018
Many fractional quantum Hall states can be expressed as a correlator of a given conformal field theory used to describe their edge physics. As a consequence, these states admit an economical representation as an exact matrix product state (MPS) that was ...
V. Crépel, B. Estienne, B. Bernevig, P. Lecheminant, N. Regnault   +4 more
semanticscholar   +4 more sources

Continuous Matrix Product States for Quantum Fields [PDF]

Physical Review Letters, 2010
We define matrix product states in the continuum limit, without any reference to an underlying lattice parameter. This allows us to extend the density matrix renormalization group and variational matrix product state formalism to quantum field theories ...
Verstraete, F., Cirac, JI, Verstraete, FrankWE058010015516530009-0002-3157-71043BD5ED34-F0EE-11E1-A9DE-61C894A0A6B4, Cirac, J. Ignacio, Verstraete, Frank, Cirac, J.   +5 more
core   +7 more sources

Matrix product state applications for the ALPS project [PDF]

Computer Physics Communications, 2014
The density-matrix renormalization group method has become a standard computational approach to the low-energy physics as well as dynamics of low-dimensional quantum systems.
Giamarchi, Thierry, Ewart, Timothée,, Dolfi, Michele, Keller, Sebastian,, Bauer, Bela, Kantian, Adrian,, Kosenkov, Alexandr,, Troyer, Matthias, Bauer, Bela,, Troyer, Matthias,, Kantian, Adrian, Giamarchi, Thierry,, Dolfi, Michele,, Kosenkov, Alexandr, Keller, Sebastian, Ewart, Timothee   +15 more
core   +4 more sources