13 citations · 37 across the 15 of their papers we have counts for
7 papers · 1 filter
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…
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…
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…
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…
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…