Characterising and detecting genuinely high-dimensional genuine multipartite entanglement
- URL: http://arxiv.org/abs/2402.06234v3
- Date: Sat, 27 Apr 2024 14:09:45 GMT
- Title: Characterising and detecting genuinely high-dimensional genuine multipartite entanglement
- Authors: Gabriele Cobucci, Armin Tavakoli,
- Abstract summary: We benchmark the multipartite entanglement dimensionality via the worst-case bipartite entanglement dimension.
In order to detect this genuinely high-dimensional and genuinely multipartite entanglement, we develop several classes of general criteria.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Entangled states with both multiple local levels and multiple subsystems is increasingly entering state-of-the-art quantum technology. We investigate whether such high-dimensional multipartite entangled states can be simulated using only low-dimensional entanglement. To this end, we propose to benchmark the multipartite entanglement dimensionality via the worst-case bipartite entanglement dimension needed to generate the state as a mixture over the different bisections of the system. In order to detect this genuinely high-dimensional and genuinely multipartite entanglement, we develop several classes of general criteria. They are respectively based on fidelity measurements, efficient fidelity estimation using only a minimal number of measurements and convex programming methods. The approach provides a simple way of benchmarking the entanglement dimensionality in the multipartite regime and our methods readily apply to high-dimensional multipartite entanglement experiments.
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