Bounding the quantum limits of precision for phase estimation with loss and thermal noise
AffiliationUniv Arizona, Coll Opt Sci
MetadataShow full item record
PublisherAMER PHYSICAL SOC
CitationBounding the quantum limits of precision for phase estimation with loss and thermal noise 2017, 96 (6) Physical Review A
JournalPhysical Review A
Rights©2017 American Physical Society
Collection InformationThis item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at email@example.com.
AbstractWe consider the problem of estimating an unknown but constant carrier phase modulation theta using a general, possibly entangled, n-mode optical probe through n independent and identical uses of a lossy bosonic channel with additive thermal noise. We find an upper bound to the quantum Fisher information (QFI) of estimating theta as a function of n, the mean and variance of the total number of photons N-s in the n-mode probe, the transmissivity eta, and mean thermal photon number per mode (n)over-bar(B) of the bosonic channel. Since the inverse of QFI provides a lower bound to the mean-square error (MSE) of an unbiased estimator (theta)over-tilde of theta, our upper bound to the QFI provides a lower bound to the MSE. It already has found use in proving fundamental limits of covert sensing and could find other applications requiring bounding the fundamental limits of sensing an unknown parameter embedded in a correlated field.
VersionFinal published version
SponsorsONR [N00014-16-C-2069]; UK National Quantum Technologies Programme [EP/M01326X/1, EP/M013243/1]; Raytheon BBN Technologies, DARPA [HR0011-16-C-0111]; UK EPSRC [EP/K04057X/2]