67 citations · 259 across the 13 of their papers we have counts for
15 papers
Many-body topology in parity-preserving tensor networks
Maksimilian Usoltcev, Nguyen Hanh Dung, Carolin Wille +2
Planar parity-preserving tensor networks (ppTNs) admit a fermionic formulation in which the Gaussian, efficiently contractible limit is deformed by local interactions. We investiga…
Locally optimized variational evolution for quantum many-body systems
Carolin Wille, Max Marvell, Maximilian Marvell +6
Quantum many-body dynamics is difficult to simulate because the global wavefunction develops extensive complexity, whereas local observables may retain only an intrinsic, system-si…
Theory of Anderson localization on the hyperbolic plane
Alexander Altland, Tobias Micklitz, Devasheesh Sharma +2
The two-dimensional hyperbolic plane, , is an unusual system in that dimensionality changes with scale: locally two-dimensional and planar at short distances, but eff…
Continuum field theory of matchgate tensor network ensembles
Maksimilian Usoltcev, Carolin Wille, Jens Eisert +1
Tensor networks provide discrete representations of quantum many-body systems, yet their precise connection to continuum field theories remains relatively poorly understood. Invoki…
Classical simulation of parity-preserving quantum circuits
Carolin Wille, Sergii Strelchuk
We present a classical simulation method for fermionic quantum systems which, without loss of generality, can be represented by parity-preserving circuits made of two-qubit gates i…
A minimal tensor network beyond free fermions
Carolin Wille, Maksimilian Usoltcev, Jens Eisert +1
This work proposes a minimal model extending the duality between classical statistical spin systems and fermionic systems beyond the case of free fermions. A Jordan-Wigner transfor…