AI Article Synopsis
- Genuine multipartite entanglement is important for quantum technologies, but existing measures often fail to qualify as "genuine" and are not practical for all situations.
- The authors introduce a new approach that connects multipartite entanglement with the hypervolume of geometric simplices, creating a tetrahedron measure specifically for quadripartite systems.
- They find that this measure depends on how symmetric the arrangement of entangled parties is and suggest potential uses for it in studying quantum information scrambling in complex systems.
Article Abstract
Genuine multipartite entanglement is crucial for quantum information and related technologies, but quantifying it has been a long-standing challenge. Most proposed measures do not meet the "genuine" requirement, making them unsuitable for many applications. In this work, we propose a journey toward addressing this issue by introducing an unexpected relation between multipartite entanglement and hypervolume of geometric simplices, leading to a tetrahedron measure of quadripartite entanglement. By comparing the entanglement ranking of two highly entangled four-qubit states, we show that the tetrahedron measure relies on the degree of permutation invariance among parties within the quantum system. We demonstrate potential future applications of our measure in the context of quantum information scrambling within many-body systems.
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Source |
|---|---|
| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC10968753 | PMC |
| http://dx.doi.org/10.3390/e26030217 | DOI Listing |
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