32 citations · 61 across the 8 of their papers we have counts for
8 papers
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…
PEPSKit.jl: A Julia package for projected entangled-pair state simulations
Paul Brehmer, Lander Burgelman, Zheng-Yuan Yue +3
We present PEPSKitjl, a Julia package for simulating two-dimensional quantum many-body systems with infinite projected entangled-pair states (iPEPS). PEPSKitjl builds on the…
Interface roughening in the 3-D Ising model with tensor networks
Atsushi Ueda, Lander Burgelman, Luca Tagliacozzo +1
Interfaces in three-dimensional many-body systems can exhibit rich phenomena beyond the corresponding bulk properties. In particular, they can fluctuate and give rise to massless l…
Fermionic tensor network methods
Quinten Mortier, Lukas Devos, Lander Burgelman +5
We show how fermionic statistics can be naturally incorporated in tensor networks on arbitrary graphs through the use of graded Hilbert spaces. This formalism allows to use tensor…
Fault-tolerant error correction for a universal non-Abelian topological quantum computer at finite temperature
Alexis Schotte, Lander Burgelman, Guanyu Zhu
We study fault-tolerant error correction in a quantum memory constructed as a two-dimensional model of Fibonacci anyons on a torus, in the presence of thermal noise represented by…
Contrasting pseudo-criticality in the classical two-dimensional Heisenberg and models: zero-temperature phase transition versus finite-temperature crossover
Lander Burgelman, Lukas Devos, Bram Vanhecke +2
Tensor-network methods are used to perform a comparative study of the two-dimensional classical Heisenberg and models. We demonstrate that uniform matrix product st…
Variational methods for contracting projected entangled-pair states
Laurens Vanderstraeten, Lander Burgelman, Boris Ponsioen +5
The norms or expectation values of infinite projected entangled-pair states (PEPS) cannot be computed exactly, and approximation algorithms have to be applied. In the last years, m…
Quantum error correction thresholds for the universal Fibonacci Turaev-Viro code
Alexis Schotte, Guanyu Zhu, Lander Burgelman +1
We consider a two-dimensional quantum memory of qubits on a torus which encode the extended Fibonaccistring-net code, and devise strategies for error correction when those qubits a…