INO
CNR
vai_a_storia   vai_a_organizzazione   vai_a_sedi   vai_a_personale   Area Riservata
    English English Version  
 
 

Frequentist and Bayesian Quantum Phase Estimation

  Articoli su Riviste JCR/ISI  (anno 2018)

Autori:  Li Y., Pezze L., Gessner M., Ren ZH., Li WD., Smerzi A

Affiliazione Autori:  [Li, Yan; Ren, Zhihong; Li, Weidong] Shanxi Univ, Inst Theoret Phys, Taiyuan 030006, Peoples R China and Shanxi Univ, Dept Phys, State Key Lab Quantum Opt & Quantum Opt Devices, Collaborat Innovat Ctr Extreme Opt, Taiyuan 030006, Peoples R China; [Pezze, Luca; Gessner, Manuel; Smerzi, Augusto] CNR, INO, QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy and LENS, Largo Enrico Fermi 2, I-50125 Florence, Italy.

Riassunto:  Frequentist and Bayesian phase estimation strategies lead to conceptually different results on the state of knowledge about the true value of an unknown parameter. We compare the two frameworks and their sensitivity bounds to the estimation of an interferometric phase shift limited by quantum noise, considering both the cases of a fixed and a fluctuating parameter. We point out that frequentist precision bounds, such as the Cramer-Rao bound, for instance, do not apply to Bayesian strategies and vice versa. In particular, we show that the Bayesian variance can overcome the frequentist Cramer-Rao bound, which appears to be a paradoxical result if the conceptual difference between the two approaches are overlooked. Similarly, bounds for fluctuating parameters make no statement about the estimation of a fixed parameter.

Rivista/Giornale:  ENTROPY
Volume n.:  20 (9)      Pagine da: 628-1  a: 628-22
DOI: 10.3390/e20090628

   *Citazioni: 2
data tratti da "WEB OF SCIENCE" (marchio registrato di Thomson Reuters) ed aggiornati a:  19/05/2019

Riferimenti visionabili in IsiWeb of Knowledge: (solo per sottoscrittori)
Per visualizzare la scheda dell'articolo su IsiWeb: Clicca qui
Per visualizzare la scheda delle Citazioni dell'articolo su IsiWeb: Clicca qui

INO © Istituto Nazionale di Ottica - Largo Fermi 6, 50125 Firenze | Tel. 05523081 Fax 0552337755 - P.IVA 02118311006     P.E.C.    Info