Computation of entanglement for quantum states by a Consensus-Based Optimization method
Quantum Physics
2026-05-12 v2 Optimization and Control
Abstract
The computation of quantum entanglement can be formulated as a high-dimensional nonconvex optimization problem with orthogonality constraints. In this work, we propose structure-preserving consensus-based optimization (CBO) methods for entanglement computation, with one approach based on a Hermitian formulation and the other evolving directly on the unitary manifold. To handle the variable dimension of the feasible set, we introduce a cross-dimensional interaction mechanism allowing exchange of information between particles of different sizes. Numerical experiments demonstrate that the proposed methods achieve accurate approximations.
Cite
@article{arxiv.2605.03773,
title = {Computation of entanglement for quantum states by a Consensus-Based Optimization method},
author = {Michael Herty and Yijia Tang and Yizhou Zhou},
journal= {arXiv preprint arXiv:2605.03773},
year = {2026}
}