Certifying Quantum Separability with Adaptive Polytopes

• URL: http://arxiv.org/abs/2210.10054v4
• Date: Tue, 9 Jan 2024 14:21:40 GMT
• Title: Certifying Quantum Separability with Adaptive Polytopes
• Authors: Ties-A. Ohst, Xiao-Dong Yu, Otfried G\"uhne, H. Chau Nguyen
• Abstract summary: We propose a method to certify quantum separability of two- and multiparticle quantum systems. For multiparticle systems, the approach allows to characterise full separability for up to five qubits or three qutrits. Our methods allow to identify systematically quantum states with interesting entanglement properties.
• Score: 1.085294773316861
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The concept of entanglement and separability of quantum states is relevant for several fields in physics. Still, there is a lack of effective operational methods to characterise these features. We propose a method to certify quantum separability of two- and multiparticle quantum systems based on an adaptive polytope approximation. This leads to an algorithm which, for practical purposes, conclusively recognises two-particle separability for small and medium-size dimensions. For multiparticle systems, the approach allows to characterise full separability for up to five qubits or three qutrits; in addition, different classes of entanglement can be distinguished. Finally, our methods allow to identify systematically quantum states with interesting entanglement properties, such as maximally robust states which are separable for all bipartitions, but not fully separable.

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