1.8k citations · 31.8k across the 228 of their papers we have counts for
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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…
Matrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems
Ignacio Cirac, David Perez-Garcia, Norbert Schuch +1
The theory of entanglement provides a fundamentally new language for describing interactions and correlations in many body systems. Its vocabulary consists of qubits and entangled…
Matrix product operator symmetries and intertwiners in string-nets with domain walls
Laurens Lootens, Jürgen Fuchs, Jutho Haegeman +2
We provide a description of virtual non-local matrix product operator (MPO) symmetries in projected entangled pair state (PEPS) representations of string-net models. Given such a P…
Variational optimization of continuous matrix product states
Benoît Tuybens, Jacopo De Nardis, Jutho Haegeman +1
Just as matrix product states represent ground states of one-dimensional quantum spin systems faithfully, continuous matrix product states (cMPS) provide faithful representations o…
Efficient variational contraction of two-dimensional tensor networks with a non-trivial unit cell
A. Nietner, B. Vanhecke, F. Verstraete +2
Tensor network states provide an efficient class of states that faithfully capture strongly correlated quantum models and systems in classical statistical mechanics. While tensor n…
Uncertainty and Trade-offs in Quantum Multiparameter Estimation
Ilya Kull, Philippe Allard Guérin, Frank Verstraete
Uncertainty relations in quantum mechanics express bounds on our ability to simultaneously obtain knowledge about expectation values of non-commuting observables of a quantum syste…