Speaker
Description
In this talk, we investigate multipartite entanglement through the statistical properties of pure quantum states of $n$-qubits. By analyzing the distribution of purity among balanced bipartitions, we will compare Haar-typical states with the so called Hadamard states, the latter being characterized by equal weights in the computational basis. We analyze different classes of Hadamard states distinguished by their phase distributions. We will show how Hadamard states exhibit, on average, a higher degree of entanglement than Haar-typical states. In addition, we will show that a particular class of Hadamard states, characterized by real coefficients with alternating signs, referred to as ($\pm$)-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 entangled quantum states
References
This talk will be based on a work that is currently unpubblished.
| Sessions | Foundational studies |
|---|---|
| Invited | No |