On stability of discrete-time quantum filters - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année :

On stability of discrete-time quantum filters

(1)
1
Pierre Rouchon

Résumé

Fidelity is known to increase through a Kraus map: the fidelity between two density matrices is less than the fidelity between their images via a Kraus map. We prove here that, in average, the square of the fidelity is also increasing for a quantum filter: the square of the fidelity between the density matrix of the underlying Markov chain and the density matrix of its associated quantum filter is a super-martingale. Thus discrete-time quantum filters are stable processes and tend to forget their initial conditions.
Fichier principal
Vignette du fichier
StabilityQuantumFilters.pdf (149.89 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-00492009 , version 1 (14-06-2010)

Identifiants

  • HAL Id : hal-00492009 , version 1

Citer

Pierre Rouchon. On stability of discrete-time quantum filters. 2010. ⟨hal-00492009⟩
267 Consultations
33 Téléchargements

Partager

Gmail Facebook Twitter LinkedIn More