Multipartite entanglement of random states of qubits
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866909031568769024 |
|---|---|
| author | Trotta, Giorgia Scarafile, Paolo Facchi, Paolo Magnifico, Giuseppe Mariano, Angelo Parisi, Giorgio Pascazio, Saverio Życzkowski, Karol |
| author_facet | Trotta, Giorgia Scarafile, Paolo Facchi, Paolo Magnifico, Giuseppe Mariano, Angelo Parisi, Giorgio Pascazio, Saverio Życzkowski, Karol |
| contents | We investigate multipartite entanglement via the statistical properties of pure quantum states of n-qubits. By analyzing the distribution of purity among balanced bipartitions, we compare Haar-typical states, uniformly distributed on the unit sphere of states, with Hadamard states, being characterized by equal weights in the computational basis. We analyze different ensembles of Hadamard states characterized by their phase distributions. Through analytical and numerical calculations, we show that Hadamard states exhibit, on average, a higher degree of entanglement than Haar-typical states. In addition, we show that a particular class of Hadamard states, characterized by real coefficients with alternating signs, known as hypergraph states, appears especially relevant in the search for maximally multipartite entangled states, both for their structural simplicity and the increased likelihood of sampling highly entangled states. These results identify Hadamard states as a tractable yet promising class for exploring multipartite entanglement structures and advancing the characterization of maximally multipartite entangled quantum states. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_10314 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Multipartite entanglement of random states of qubits Trotta, Giorgia Scarafile, Paolo Facchi, Paolo Magnifico, Giuseppe Mariano, Angelo Parisi, Giorgio Pascazio, Saverio Życzkowski, Karol Quantum Physics We investigate multipartite entanglement via the statistical properties of pure quantum states of n-qubits. By analyzing the distribution of purity among balanced bipartitions, we compare Haar-typical states, uniformly distributed on the unit sphere of states, with Hadamard states, being characterized by equal weights in the computational basis. We analyze different ensembles of Hadamard states characterized by their phase distributions. Through analytical and numerical calculations, we show that Hadamard states exhibit, on average, a higher degree of entanglement than Haar-typical states. In addition, we show that a particular class of Hadamard states, characterized by real coefficients with alternating signs, known as hypergraph states, appears especially relevant in the search for maximally multipartite entangled states, both for their structural simplicity and the increased likelihood of sampling highly entangled states. These results identify Hadamard states as a tractable yet promising class for exploring multipartite entanglement structures and advancing the characterization of maximally multipartite entangled quantum states. |
| title | Multipartite entanglement of random states of qubits |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2605.10314 |