Correlation functions for realistic continuous quantum measurement - Automatique et systèmes (CAS) Access content directly
Conference Papers Year : 2023

Correlation functions for realistic continuous quantum measurement

Pierre Guilmin
  • Function : Author
  • PersonId : 1197895
Pierre Rouchon


We propose a self-contained and accessible derivation of an exact formula for the $n$-point correlation functions of the signal measured when continuously observing a quantum system. The expression depends on the initial quantum state and on the Stochastic Master Equation (SME) governing the dynamics. This derivation applies to both jump and diffusive evolutions and takes into account common imperfections of realistic measurement devices. We show how these correlations can be efficiently computed numerically for commonly filtered and integrated signals available in practice.
Fichier principal
Vignette du fichier
main.pdf (426.2 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
licence : CC BY NC ND - Attribution - NonCommercial - NoDerivatives

Dates and versions

hal-03882949 , version 1 (02-12-2022)
hal-03882949 , version 2 (07-08-2023)
hal-03882949 , version 3 (09-01-2024)


Attribution - NonCommercial - NoDerivatives



Pierre Guilmin, Pierre Rouchon, Antoine Tilloy. Correlation functions for realistic continuous quantum measurement. IFAC-PapersOnLine, Jul 2023, Yokohama, Japan. pp.5164-5170, ⟨10.1016/j.ifacol.2023.10.110⟩. ⟨hal-03882949v3⟩
131 View
84 Download



Gmail Facebook X LinkedIn More