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Sample-Optimal Quantum Process Tomography with non-adaptive Incoherent Measurements

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  • المؤلفون: Oufkir, Aadil
  • المصدر:
    2023 IEEE International Symposium on Information Theory (ISIT)
    ISIT 2023 - IEEE International Symposium on Information Theory
    https://hal.science/hal-04081990
    ISIT 2023 - IEEE International Symposium on Information Theory, Jun 2023, Taipei, Taiwan. pp.1919-1924, ⟨10.1109/ISIT54713.2023.10206538⟩
  • الموضوع:
  • نوع التسجيلة:
    conference object
  • اللغة:
    English
  • معلومة اضافية
    • Contributors:
      Laboratoire de l'Informatique du Parallélisme (LIP); École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL); Université de Lyon-Université de Lyon-Institut National de Recherche en Informatique et en Automatique (Inria)-Centre National de la Recherche Scientifique (CNRS); Traitement optimal de l'information avec des dispositifs quantiques (QINFO); Inria Grenoble - Rhône-Alpes; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-École normale supérieure de Lyon (ENS de Lyon)-Université Claude Bernard Lyon 1 (UCBL); Université de Lyon-Université de Lyon-Université Grenoble Alpes (UGA)-Inria Lyon; Institut National de Recherche en Informatique et en Automatique (Inria); European Project: 851716,ERC-2019-STG,AlgoQIP(2021)
    • بيانات النشر:
      HAL CCSD
    • الموضوع:
      2023
    • Collection:
      HAL Lyon 1 (University Claude Bernard Lyon 1)
    • الموضوع:
    • نبذة مختصرة :
      International audience ; How many copies of a quantum process are necessary and sufficient to construct an approximate classical description of it? We extend the result of Surawy-Stepney, Kahn, Kueng, and Guta (2022) to show that Õ(d^6 /\epsilon^2) copies are sufficient to learn a d-dimensional quantum channel to within ε in the diamond norm. Moreover, we show that Ω(d^6 /\epsilon^2) copies are necessary for any strategy using incoherent non-adaptive measurements. This lower bound applies even for ancilla-assisted strategies.
    • Relation:
      info:eu-repo/grantAgreement//851716/EU/Beyond Shannon: Algorithms for optimal information processing/AlgoQIP; hal-04081990; https://hal.science/hal-04081990; https://hal.science/hal-04081990/document; https://hal.science/hal-04081990/file/Process_tomography_ISIT-19.pdf
    • الرقم المعرف:
      10.1109/ISIT54713.2023.10206538
    • Rights:
      http://creativecommons.org/licenses/by/ ; info:eu-repo/semantics/OpenAccess
    • الرقم المعرف:
      edsbas.A68D79AA