A robust Bayesian formulation of the optimal phase measurement problem

Autor:	Jones, K. R. W.
Rok vydání:	2012
Předmět:	Quantum Physics Statistics - Applications
Druh dokumentu:	Working Paper
Popis:	Optical phase measurement is a simple example of a quantum--limited measurement problem with important applications in metrology such as gravitational wave detection. The formulation of optimal strategies for such measurements is an important test-bed for the development of robust statistical methods for instrument evaluation. However, the class of possible distributions exhibits extreme pathologies not commonly encountered in conventional statistical analysis. To overcome these difficulties we reformulate the basic variational problem of optimal phase measurement within a Bayesian paradigm and employ the Shannon information as a robust figure of merit. Single-mode performance bounds are discussed, and we invoke a general theorem that reduces the problem of finding the multi-mode performance bounds to the bounding of a single integral, without need of the central limit theorem. Comment: 4 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1212.3739 Zobrazit plný text záznamu View this record from Arxiv