Work

Computation of entanglement for quantum states by a Consensus-Based Optimization method

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.03773

Authors: Herty, Michael, Tang, Yijia, Zhou, Yizhou

Institutions: RWTH Aachen University, Karlsruhe Institute of Technology, University of Pretoria

Topic: Metaheuristic Optimization Algorithms Research

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Deutsche Forschungsgemeinschaft

Awards: G442688124, G5261097129, G8796621621

OpenAlex ID: W7160424708

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