Quantum Bell-Ziv-Zakai Bounds and Heisenberg Limits for Waveform Estimation

We propose quantum versions of the Bell-Ziv-Zakai lower bounds for the error in multiparameter estimation. As an application, we consider measurement of a time-varying optical phase signal with stationary Gaussian prior statistics and a power-law spectrum ∼1/|ω|^{p}, with p>1. With no other assum...

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Bibliographic Details
Main Authors: Dominic W. Berry, Mankei Tsang, Michael J. W. Hall, Howard M. Wiseman
Format: Article
Language:English
Published: American Physical Society 2015-08-01
Series:Physical Review X
Online Access:http://doi.org/10.1103/PhysRevX.5.031018