81 citations · 81 across the 1 of their papers we have counts for
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Hilbert curve vs Hilbert space: exploiting fractal 2D covering to increase tensor network efficiency
Giovanni Cataldi, Ashkan Abedi, Giuseppe Magnifico +4
We present a novel mapping for studying 2D many-body quantum systems by solving an effective, one-dimensional long-range model in place of the original two-dimensional short-range…
Efficient Tensor Network ansatz for high-dimensional quantum many-body problems
Timo Felser, Simone Notarnicola, Simone Montangero
We introduce a novel tensor network structure augmenting the well-established Tree Tensor Network representation of a quantum many-body wave function. The new structure satisfies t…
Discrete Abelian Gauge Theories for Quantum Simulations of QED
Simone Notarnicola, Elisa Ercolessi, Paolo Facchi +3
We study a lattice gauge theory in Wilson's Hamiltonian formalism. In view of the realization of a quantum simulator for QED in one dimension, we introduce an Abelian model with a…