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Certifying Quantum Separability with Adaptive Polytopes
by Ties-A. Ohst, Xiao-Dong Yu, Otfried Gühne, H. Chau Nguyen
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Chau Nguyen · Ties-Albrecht Ohst |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/2210.10054v4 (pdf) |
| Code repository: | https://gitlab.com/tqo/quantum-correlations |
| Date accepted: | 2024-02-08 |
| Date submitted: | 2024-01-10 10:57 |
| Submitted by: | Ohst, Ties-Albrecht |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
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.
Author comments upon resubmission
List of changes
The revision includes:
-- added a clarification of the strengths and weaknesses of outer polytopes in the end of section 2.1
-- added information about the algorithm for systems with asymmetric dimensions in section 2.2
-- specified computation time for examples with hardware and software information in section 2.2 and in the caption of Table 1
-- added references to Section 2.1 and 2.2
-- clarified the used convergence criterion in the caption of Figure 5
Published as SciPost Phys. 16, 063 (2024)