120 citations · 316 across the 7 of their papers we have counts for
7 papers
Parallel Quantum Simulation of Large Systems on Small Quantum Computers
Fergus Barratt, James Dborin, Matthias Bal +3
Tensor networks permit computational and entanglement resources to be concentrated in interesting regions of Hilbert space. Implemented on NISQ machines they allow simulation of qu…
Entanglement compression in scale space: from the multiscale entanglement renormalization ansatz to matrix product operators
Karel Van Acoleyen, Andrew Hallam, Matthias Bal +3
The multiscale entanglement renormalization ansatz (MERA) provides a constructive algorithm for realizing wavefunctions that are inherently scale invariant. Unlike conformally inva…
Sparse hierarchical representation learning on molecular graphs
Matthias Bal, Hagen Triendl, Mariana Assmann +6
Architectures for sparse hierarchical representation learning have recently been proposed for graph-structured data, but so far assume the absence of edge features in the graph. We…
Mapping topological to conformal field theories through strange correlators
Matthias Bal, Dominic J. Williamson, Robijn Vanhove +3
We extend the concept of strange correlators, defined for symmetry-protected phases in [You et al., Phys. Rev. Lett. 112, 247202 (2014)], to topological phases of matter by taking…
Renormalization group flows of Hamiltonians using tensor networks
Matthias Bal, Michaël Mariën, Jutho Haegeman +1
A renormalization group flow of Hamiltonians for two-dimensional classical partition functions is constructed using tensor networks. Similar to tensor network renormalization ([G.…
Matrix product state renormalization
Matthias Bal, Marek M. Rams, Valentin Zauner +2
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. We provide a r…
Truncating an exact Matrix Product State for the XY model: transfer matrix and its renormalisation
Marek M. Rams, Valentin Zauner, Matthias Bal +2
We discuss how to analytically obtain an -- essentially infinite -- Matrix Product State (MPS) representation of the ground state of the XY model. On the one hand this allows to il…