13 citations · 37 across the 15 of their papers we have counts for
15 papers
On the origin of finite entanglement scaling
Luke Hodgkiss, Laurens Lootens, Atsushi Ueda +2
The concept of finite entanglement scaling forms one of the pillars on which the tensor network ecosystem is built. In this paper, we resolve the open problem of determining the ac…
Implicit differentiation of tensor network algorithms
Lander Burgelman, Anna Francuz, Paul Brehmer +4
The current leading approach to the variational optimization of projected entangled-pair states (PEPS) is based on automatic differentiation, which allows for a convenient evaluati…
Symmetric mass generation of interacting chiral fermions on a one-dimensional lattice without fermion doubling
V. A. Zakharov, Atsushi Ueda, Frank Verstraete +1
Symmetric mass generation is the interaction-induced opening of a fermion gap without spontaneous symmetry breaking. The anomaly-free 3-4-5-0 model of Wang and Wen provides a minim…
The local characterization of global tensor network eigenstates
José Garre Rubio, András Molnár, Norbert Schuch +1
We study the conditions under which Matrix Product States (MPS) or Matrix Product Operators are exact eigenvectors of an extensive local operator, such as a Hamiltonian. By suitabl…
Intertwining Markov Processes via Matrix Product Operators
Rouven Frassek, Jan de Gier, Jimin Li +1
Duality transformations reveal unexpected equivalences between seemingly distinct models. We introduce an out-of-equilibrium generalisation of matrix product operators to implement…
Perfect Particle Transmission through Duality Defects
Atsushi Ueda, Vic Vander Linden, Laurens Lootens +3
We study wavepackets that propagate across (a) topological interfaces in quantum spin systems exhibiting non-invertible symmetries and (b) duality defects coupling dual theories. W…
Trading Mathematical for Physical Simplicity: Bialgebraic Structures in Matrix Product Operator Symmetries
Yuhan Liu, Andras Molnar, Xiao-Qi Sun +3
Despite recent advances in the lattice representation theory of (generalized) symmetries, many simple quantum spin chains of physical interest are not included in the rigid framewo…
From gauging to duality in one-dimensional quantum lattice models
Bram Vancraeynest-De Cuiper, José Garre-Rubio, Frank Verstraete +3
Gauging and duality transformations, two of the most useful tools in many-body physics, are shown to be equivalent up to constant depth quantum circuits in the case of one-dimensio…
Global Tensor Network Renormalization for 2D Quantum systems: A new window to probe universal data from thermal transitions
Atsushi Ueda, Sander De Meyer, Adwait Naravane +2
We propose a new tensor network renormalization group (TNR) scheme based on global optimization and introduce a new method for constructing the finite-temperature density matrix of…
Spiral renormalization group flow and universal entanglement spectrum of the non-Hermitian 5-state Potts model
Vic Vander Linden, Boris De Vos, Kevin Vervoort +2
The quantum -state Potts model is known to possess a perturbative description using complex conformal field theory (CCFT), the analytic continuation of ``theory space" to a comp…
Finite-size scaling on the torus with periodic projected entangled-pair states
Gleb Fedorovich, Lukas Devos, Jutho Haegeman +3
An efficient algorithm is constructed for contracting two-dimensional tensor networks under periodic boundary conditions. The central ingredient is a novel renormalization step tha…
Entanglement and the density matrix renormalisation group in the generalised Landau paradigm
Laurens Lootens, Clement Delcamp, Frank Verstraete
The fields of entanglement theory and tensor networks have recently emerged as central tools for characterising quantum phases of matter. In this article, we determine the entangle…
Interacting chiral fermions on the lattice with matrix product operator norms
Jutho Haegeman, Laurens Lootens, Quinten Mortier +3
We develop a Hamiltonian formalism for simulating interacting chiral fermions on the lattice while preserving unitarity and locality and without breaking the chiral symmetry. The f…
Local Jordan-Wigner transformations on the torus
Oliver O'Brien, Laurens Lootens, Frank Verstraete
We present a locality preserving unitary mapping from fermions to qubits on a 2D torus whilst accounting for the mapping of topological sectors. Extending the work of Shukla et al.…
Low-depth unitary quantum circuits for dualities in one-dimensional quantum lattice models
Laurens Lootens, Clement Delcamp, Dominic Williamson +1
A systematic approach to dualities in symmetric (1+1)d quantum lattice models has recently been proposed in terms of module categories over the symmetry fusion categories. By chara…