32 citations · 61 across the 8 of their papers we have counts for
4 papers · 1 filter
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…
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…
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…