Results 31 to 40 of about 21,155,000 (291)
Heat current in non-Markovian open systems
New Journal of Physics, 2023 We generalize time-evolving matrix product operators method to nonequilibrium quantum transport problems. The nonequilibrium current is obtained via numerical differentiation of the generating functional which is represented as a tensor network.
Ruofan Chen
doaj +1 more source
Variational Optimization of Continuous Matrix Product States [PDF]
Physical Review Letters, 2022 Just as matrix product states represent ground states of one-dimensional quantum spin systems faithfully, continuous matrix product states (cMPS) provide faithful representations of the vacuum of interacting field theories in one spatial dimension. Unlike the quantum spin case however, for which the density matrix renormalization group and related ...
Benoît Tuybens +3 more
openaire +4 more sources
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
Language as a matrix product state
CoRR, 2017 We propose a statistical model for natural language that begins by considering language as a monoid, then representing it in complex matrices with a compatible translation invariant probability measure. We interpret the probability measure as arising via the Born rule from a translation invariant matrix product state.
Vasily Pestun +2 more
openaire +3 more sources
Row Compression and Nested Product Decomposition of a Hierarchical Representation of a Quasiseparable Matrix [PDF]
, 2014 This research introduces a row compression and nested product decomposition of an nxn hierarchical representation of a rank structured matrix A, which extends the compression and nested product decomposition of a quasiseparable matrix.
Hudachek-Buswell, Mary
core +1 more source
Entanglement classification with matrix product states [PDF]
Scientific Reports, 2016 AbstractWe propose an entanglement classification for symmetric quantum states based on their diagonal matrix-product-state (MPS) representation. The proposed classification, which preserves the stochastic local operation assisted with classical communication (SLOCC) criterion, relates entanglement families to the interaction length of Hamiltonians. In
M. Sanz +5 more
openaire +3 more sources
Thermal pure quantum matrix product states recovering a volume law entanglement
Physical Review Research, 2021 We propose a way to construct a thermal pure quantum matrix product state (TPQ-MPS) that can simulate finite-temperature quantum many-body systems with a minimal numerical cost comparable to the matrix product algorithm for the ground state.
Atsushi Iwaki +2 more
doaj +1 more source
Probabilistic Modeling with Matrix Product States [PDF]
Entropy, 2019 Inspired by the possibility that generative models based on quantum circuits can provide a useful inductive bias for sequence modeling tasks, we propose an efficient training algorithm for a subset of classically simulable quantum circuit models.
Stokes, James, Terilla, John
openaire +4 more sources
Matrix Product States: Entanglement, Symmetries, and State Transformations [PDF]
Physical Review Letters, 2019 5 + 12 pages; 2 ...
Sauerwein, David +3 more
openaire +4 more sources
Scalar one-point functions and matrix product states of AdS/dCFT
Physics Letters B, 2018 We determine in a closed form all scalar one-point functions of the defect CFT dual to the D3–D5 probe brane system with k units of flux which amounts to calculating the overlap between a Bethe eigenstate of the integrable SO(6) spin chain and a certain ...
Marius de Leeuw +2 more
doaj +1 more source