57 citations · 171 across the 10 of their papers we have counts for
10 papers
Parallelized contraction of tensor trains or matrix product operators
Simone Foderà, Marc K. Ritter, Hiroshi Shinaoka +1
Tensor Trains (TT), also known as Matrix Product States (MPS) and Matrix Product Operators (MPO), provide a compact and structured representation for high-dimensional data and oper…
Fast elementwise operations on tensor trains with alternating cross interpolation
Marc K. Ritter
Tensor trains (TTs), also known as matrix product states (MPS), are compressed representations of high-dimensional data that can be efficiently manipulated to perform calculations…
Adaptive Patching for Tensor Train Computations
Gianluca Grosso, Marc K. Ritter, Stefan Rohshap +5
Quantics Tensor Train (QTT) operations such as matrix product operator contractions are prohibitively expensive for large bond dimensions. We propose an adaptive patching scheme th…
Compressing local vertex functions from the multipoint numerical renormalization group using quantics tensor cross interpolation
Markus Frankenbach, Marc Ritter, Mathias Pelz +3
The multipoint numerical renormalization group (mpNRG) is a powerful impurity solver that provides accurate spectral data useful for computing local, dynamic correlation functions…
Two-particle calculations with quantics tensor trains: Solving the parquet equations
Stefan Rohshap, Marc K. Ritter, Hiroshi Shinaoka +3
We present the first application of quantics tensor trains (QTTs) and tensor cross interpolation (TCI) to the solution of a full set of self-consistent equations for multivariate f…
Learning tensor networks with tensor cross interpolation: new algorithms and libraries
Yuriel Núñez Fernández, Marc K. Ritter, Matthieu Jeannin +8
The tensor cross interpolation (TCI) algorithm is a rank-revealing algorithm for decomposing low-rank, high-dimensional tensors into tensor trains/matrix product states (MPS). TCI…
Quantics Tensor Cross Interpolation for High-Resolution, Parsimonious Representations of Multivariate Functions in Physics and Beyond
Marc K. Ritter, Yuriel Núñez Fernández, Markus Wallerberger +3
Multivariate functions of continuous variables arise in countless branches of science. Numerical computations with such functions typically involve a compromise between two contrar…
Architectures for Multinode Superconducting Quantum Computers
James Ang, Gabriella Carini, Yanzhu Chen +30
Many proposals to scale quantum technology rely on modular or distributed designs where individual quantum processors, called nodes, are linked together to form one large multinode…
Benchmark Calculations of Multiloop Pseudofermion fRG
Marc K. Ritter, Dominik Kiese, Tobias Müller +4
The pseudofermion functional renormalization group (pffRG) is a computational method for determining zero-temperature phase diagrams of frustrated quantum magnets. In a recent meth…
Multiloop pseudofermion functional renormalization for quantum spin systems: Application to the spin- kagome Heisenberg model
Julian Thoenniss, Marc K. Ritter, Fabian B. Kugler +2
We present a multiloop pseudofermion functional renormalization group (pffRG) approach to quantum spin systems. As a test case, we study the spin- Heisenberg model on…