Computation of entanglement for quantum states by a Consensus-Based Optimization method
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Acceso en línea: | |
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| _version_ | 1866918494441832448 |
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| author | Herty, Michael Tang, Yijia Zhou, Yizhou |
| author_facet | Herty, Michael Tang, Yijia Zhou, Yizhou |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_03773 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Computation of entanglement for quantum states by a Consensus-Based Optimization method Herty, Michael Tang, Yijia Zhou, Yizhou Quantum Physics Optimization and Control 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. |
| title | Computation of entanglement for quantum states by a Consensus-Based Optimization method |
| topic | Quantum Physics Optimization and Control |
| url | https://arxiv.org/abs/2605.03773 |