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Correlation functions for realistic continuous quantum measurement

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  • معلومة اضافية
    • Contributors:
      Alice & Bob; QUANTum Information Circuits (QUANTIC); Mines Paris - PSL (École nationale supérieure des mines de Paris); Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Sorbonne Université (SU)-Inria de Paris; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Laboratoire de physique de l'ENS - ENS Paris (LPENS); Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Département de Physique de l'ENS-PSL; École normale supérieure - Paris (ENS-PSL); Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-École normale supérieure - Paris (ENS-PSL); Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité)-Département de Physique de l'ENS-PSL; Université Paris Sciences et Lettres (PSL); Centre Automatique et Systèmes (CAS); Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL); This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation program (grant agreement No. 884762).
    • بيانات النشر:
      HAL CCSD
    • الموضوع:
      2023
    • Collection:
      MINES ParisTech: Archive ouverte / Open Archive (HAL)
    • الموضوع:
    • نبذة مختصرة :
      International audience ; 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.
    • Relation:
      info:eu-repo/semantics/altIdentifier/arxiv/2212.00176; hal-03882949; https://hal.science/hal-03882949; https://hal.science/hal-03882949v3/document; https://hal.science/hal-03882949v3/file/main.pdf; ARXIV: 2212.00176
    • الرقم المعرف:
      10.1016/j.ifacol.2023.10.110
    • Rights:
      http://creativecommons.org/licenses/by-nc-nd/ ; info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.616FCFF1