2013/06/19 by Olivier Pinel, O. Pinel, P. Jian +7 · 8 citations
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Electronic engineering #Fisher information #Gaussian #Mathematics #Matrix (chemical analysis) #Mode (computer interface) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Quantum state #Sensitivity (control systems) #Statistical physics #Statistics #physics.optics #quant-ph
paper · pdf · doi:10.1103/physreva.88.040102
This paper has been withdrawn because of a double submission. See: http://arxiv.org/abs/1307.5318
arxiv created 2013/06/19 · openalex publication_date 2013/10/31 · arxiv updated 2017/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We calculate the quantum Cramér--Rao bound for the sensitivity with which one or several parameters, encoded in a general single-mode Gaussian state, can be estimated. This includes in particular the interesting case of mixed Gaussian states. We apply the formula to the problems of estimating phase, purity, loss, amplitude, and squeezing. In the case of the simultaneous measurement of several parameters, we provide the full quantum Fisher information matrix. Our results unify previously known partial results, and constitute a complete solution to the problem of knowing the best possible sensitivity of measurements based on a single-mode Gaussian state.