615 citations · 1.4k across the 24 of their papers we have counts for
24 papers
Rapid mixing for Gibbs measures in Riemannian manifolds
Ángela Capel, Marco Castrillón-López, Sofyan Iblisdir +3
Langevin dynamics on Riemannian manifolds is analyzed. Conditions ensuring the existence of a suitable logarithmic Sobolev inequality (rapid mixing to the Gibbs measure) are identi…
Estimating the Jones polynomial for Ising anyons on noisy quantum computers
Chris N. Self, Sofyan Iblisdir, Gavin K. Brennen +1
The evaluation of the Jones polynomial at roots of unity is a paradigmatic problem for quantum computers. In this work we present experimental results obtained from existing noisy…
Collective Monte Carlo updates through tensor network renormalization
Miguel Frías-Pérez, Michael Mariën, David Pérez García +2
We introduce a Metropolis-Hastings Markov chain for Boltzmann distributions of classical spin systems. It relies on approximate tensor network contractions to propose correlated co…
Local order parameters for symmetry fractionalization
José Garre-Rubio, Sofyan Iblisdir
We propose a family of order parameters to detect the symmetry fractionalization class of anyons in 2D topological phases. This fractionalization class accounts for the projective,…
Thermally induced metallic phase in a gapped quantum spin liquid - a Monte Carlo study of the Kitaev model with parity projection
Chris N. Self, Johannes Knolle, Sofyan Iblisdir +1
Thermalisation is a probabilistic process. As such, it is generally expected that when we increase the temperature of a system its classical behaviour dominates its quantum coheren…
Projected Entangled Pair States: Fundamental analytical and numerical limitations
G. Scarpa, A. Molnar, Y. Ge +4
Matrix Product States (MPS) and Projected Entangled Pair States (PEPS) are powerful analytical and numerical tools to assess quantum many-body systems in one and higher dimensions,…