Abstract
Based on the recently developed resummation-based quantum Monte Carlo method for the SU(N) spin and loop-gas models, we develop a new algorithm, dubbed ResumEE, to compute the entanglement entropy (EE) with greatly enhanced efficiency. Our ResumEE exponentially speeds up the computation of the exponentially small value of the e^-S⁽²⁾, where S⁽²⁾ is the 2nd order R\'enyi EE, such that the S⁽²⁾ for a generic 2D quantum SU(N) spin models can be readily computed with high accuracy. We benchmark our algorithm with the previously proposed estimators of S⁽²⁾ on 1D and 2D SU(2) Heisenberg spin systems to reveal its superior performance and then use it to detect the entanglement scaling data of the N\'eel-to-VBS transition on 2D SU(N) Heisenberg model with continuously varying N. Our ResumEE algorithm is efficient for precisely evaluating the entanglement entropy of SU(N) spin models with continuous N and reliable access to the conformal field theory data for the highly entangled quantum matter.