Entanglement distance for arbitrary M -qudit hybrid systems - Archive ouverte HAL
Article Dans Une Revue Physical Review A Année : 2020

Entanglement distance for arbitrary M -qudit hybrid systems

Denise Cocchiarella
  • Fonction : Auteur
Stefano Scali
  • Fonction : Auteur
Bianca Nardi
  • Fonction : Auteur
Ghofrane Bel-Hadj-Aissa
  • Fonction : Auteur
Roberto Franzosi
  • Fonction : Auteur

Résumé

The achievement of quantum supremacy boosted the need for a robust medium of quantum information. In this task, higher-dimensional qudits show remarkable noise tolerance and enhanced security for quantum key distribution applications. However, to exploit the advantages of such states, we need a thorough characterisation of their entanglement. Here, we propose a measure of entanglement which can be computed either for pure and mixed states of a M-qudit hybrid system. The entanglement measure is based on a distance deriving from an adapted application of the Fubini-Study metric. This measure is invariant under local unitary transformations and has an explicit computable expression that we derive. In the specific case of M-qubit systems, the measure assumes the physical interpretation of an obstacle to the minimum distance between infinitesimally close states. Finally, we quantify the robustness of entanglement of a state through the eigenvalues analysis of the metric tensor associated with it.
Fichier principal
Vignette du fichier
2003.05771.pdf (1.62 Mo) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03122767 , version 1 (23-11-2023)

Identifiants

Citer

Denise Cocchiarella, Stefano Scali, Salvatore Ribisi, Bianca Nardi, Ghofrane Bel-Hadj-Aissa, et al.. Entanglement distance for arbitrary M -qudit hybrid systems. Physical Review A, 2020, 101 (4), pp.042129. ⟨10.1103/PhysRevA.101.042129⟩. ⟨hal-03122767⟩
42 Consultations
14 Téléchargements

Altmetric

Partager

More