50 citations · 344 across the 40 of their papers we have counts for
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No-go theorems for dual Hamiltonians of Non-Abelian Lattice Gauge Theories
Marco Garofalo, Tobias Hartung, Timo Jakobs +3
Hamiltonian simulations of lattice gauge theories promise new insights into the inner workings of QCD. The rapid development of quantum computing hardware suggests that large scale…
Suzuki-Trotter Decompositions and other Methods for Quantum Time Evolution
Johann Ostmeyer
(Suzuki-)Trotter decompositions, splitting methods, (Lie) product formulae... The most common numerical methods for the time evolution of quantum systems come with many names. And…
Stable and Efficient Algorithms for the Fermion Determinant
Johann Ostmeyer
Some algorithms for the numerically exact treatment of fermion determinants are summarised. This is not supposed to be a review, rather a concise handbook. The audience is expected…
Stable Determinant Monte Carlo Simulations at Large Inverse Temperature
Thomas Luu, Johann Ostmeyer, Petar Sinilkov +1
At low temperatures where the naïve implementation of determinant quantum Monte Carlo (DQMC) methods suffers from loss of precision and numerical instabilities when…
Hamiltonian Monte Carlo enhanced by Exact Diagonalization
Finn L. Temmen, Martina Gisti, David J. Luitz +2
Strongly correlated fermionic systems are of great interest in condensed matter physics and numerical methods are indispensable tools for their study. However, existing approaches…
Lattice Field Theory Analysis of the Chiral Heisenberg Model
Simon Hands, Johann Ostmeyer
Motivated by ongoing interest in the universal behaviour of the Hubbard model of spinning electrons on honeycomb and -flux lattices at the semi-metal -- Mott insulator phase tra…
Reducing the Gate Count with Efficient Trotter-Suzuki Schemes
Marko Maležič, Johann Ostmeyer
Hamiltonian formulations of lattice field theories provide access to real-time dynamics, but their simulation is difficult to implement efficiently. Trotter-Suzuki decompositions a…
Efficient Trotter-Suzuki Schemes for Long-time Quantum Dynamics
Marko Maležič, Johann Ostmeyer
Accurately simulating long-time dynamics of many-body systems is a challenge in both classical and quantum computing due to the accumulation of Trotter errors. While low-order Trot…