Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bulletin of the American Physical Society

Measuring Rényi Entanglement Entropies in Lattice Worm Algorithm Quantum Monte Carlo

Emanuel Casiano-Diaz, Chris M. Herdman, Adrian Del Maestro

Published Mar 3, 2020• 0 citations
OpenAlex

Related papers

“Worm” algorithm in quantum Monte Carlo simulations

Nikolay V. Prokof'ev, Boris V. Svistunov, I. S. Tupitsyn

Physics Letters A•Feb 1, 1998•273 citations

Quantum Monte Carlo Results for Rényi Entanglement Entropy in the Bose-Hubbard Model

Emanuel Casiano-Diaz, Chris M. Herdman, Adrian Del Maestro

Bulletin of the American Physical Society•Mar 16, 2021•0 citations

Computing Entanglement Entropy in Quantum Monte Carlo

Roger G. Melko

Bulletin of the American Physical Society•Feb 29, 2012•0 citations

Renyi Entanglement Entropy of Interacting Fermions Calculated Using the Continuous-Time Quantum Monte Carlo Method

Lei Wang, Matthias Troyer

We present a new algorithm for calculating the Renyi entanglement entropy of interacting fermions using the continuous-time quantum Monte Carlo method. The algorithm only samples the interaction correction of the entanglement entropy, which by design ensures the efficient calculation of weakly interacting systems. Combined with Monte Carlo reweighting, the algorithm also performs well for systems with strong interactions. We demonstrate the potential of this method by studying the quantum entanglement signatures of the charge-density-wave transition of interacting fermions on a square lattice.

arXiv:1407.0707•Physical Review Letters•Sep 10, 2014•51 citations

A path integral ground state Monte Carlo algorithm for entanglement of lattice bosons

Emanuel Casiano-Diaz, C. M. Herdman, Adrian Del Maestro

A ground state path integral quantum Monte Carlo algorithm is introduced that allows for the study of entanglement in lattice bosons at zero temperature. The Rényi entanglement entropy between spatial subregions is explored across the phase diagram of the one dimensional Bose-Hubbard model for systems consisting of up to L=256 L = 256 sites at unit-filling without any restrictions on site occupancy, far beyond the reach of exact diagonalization. The favorable scaling of the algorithm is demonstrated through a further measurement of the Rényi entanglement entropy at the two dimensional superfluid-insulator critical point for large system sizes, confirming the existence of the expected entanglement boundary law in the ground state. The Rényi estimator is extended to measure the symmetry resolved entanglement that is operationally accessible as a resource for experimentally relevant lattice gases with fixed total particle number.

arXiv:2207.11301•SciPost Physics•Mar 29, 2023•6 citations

Entanglement entropy for arbitrary quantum lattice models from quantum Monte Carlo

Tommaso Roscilde, Stephan Humeniuk

Bulletin of the American Physical Society•Mar 1, 2012•0 citations
We present a new algorithm for calculating the Renyi entanglement entropy of interacting fermions using the continuous-time quantum Monte Carlo method. The algorithm only samples the interaction correction of the entanglement entropy, which by design ensures the efficient calculation of weakly interacting systems. Combined with Monte Carlo reweighting, the algorithm also performs well for systems with strong interactions. We demonstrate the potential of this method by studying the quantum entanglement signatures of the charge-density-wave transition of interacting fermions on a square lattice.
A ground state path integral quantum Monte Carlo algorithm is introduced that allows for the study of entanglement in lattice bosons at zero temperature. The Rényi entanglement entropy between spatial subregions is explored across the phase diagram of the one dimensional Bose-Hubbard model for systems consisting of up to L=256 L = 256 sites at unit-filling without any restrictions on site occupancy, far beyond the reach of exact diagonalization. The favorable scaling of the algorithm is demonstrated through a further measurement of the Rényi entanglement entropy at the two dimensional superfluid-insulator critical point for large system sizes, confirming the existence of the expected entanglement boundary law in the ground state. The Rényi estimator is extended to measure the symmetry resolved entanglement that is operationally accessible as a resource for experimentally relevant lattice gases with fixed total particle number.