101 citations · 284 across the 5 of their papers we have counts for
6 papers
Collective Monte Carlo updates through tensor network renormalization
Miguel Frías-Pérez, Michael Mariën, David Pérez García +2
We introduce a Metropolis-Hastings Markov chain for Boltzmann distributions of classical spin systems. It relies on approximate tensor network contractions to propose correlated co…
Bridging Perturbative Expansions with Tensor Networks
Laurens Vanderstraeten, Michaël Mariën, Jutho Haegeman +3
We demonstrate that perturbative expansions for quantum many-body systems can be rephrased in terms of tensor networks, thereby providing a natural framework for interpolating pert…
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.…
Entanglement Rates and the Stability of the Area Law for the Entanglement Entropy
Michaël Mariën, Koenraad M. R. Audenaert, Karel Van Acoleyen +1
We prove a conjecture by Bravyi on an upper bound on entanglement rates of local Hamiltonians. We then use this bound to prove the stability of the area law for the entanglement en…
Characterizing Topological Order with Matrix Product Operators
Mehmet Burak Şahinoğlu, Dominic Williamson, Nick Bultinck +4
One of the most striking features of quantum phases that exhibit topological order is the presence of long range entanglement that cannot be detected by any local order parameter.…
Entanglement rates and area laws
Karel Van Acoleyen, Michaël Mariën, Frank Verstraete
We prove an upper bound on the maximal rate at which a Hamiltonian interaction can generate entanglement in a bipartite system. The scaling of this bound as a function of the subsy…