Quantum parameter estimation using multi-mode Gaussian states
Dominik \v{S}afr\'anek, Antony R. Lee, Ivette Fuentes
TL;DR
This paper develops formulas for optimal parameter estimation using multi-mode Gaussian states and identifies the best Gaussian probes for estimating parameters of a one-mode squeezing channel.
Contribution
It provides new analytical tools for optimal estimation with multi-mode Gaussian states and applies these to specific quantum channel parameter estimation.
Findings
Derived formulas for optimal estimation with multi-mode Gaussian states
Identified optimal Gaussian probe states for one-mode squeezing channel
Enhanced understanding of Gaussian states in quantum metrology
Abstract
Gaussian states are of increasing interest in the estimation of physical parameters because they are easy to prepare and manipulate in experiments. In this article, we derive formulae for the optimal estimation of parameters using two- and multi-mode Gaussian states. As an application of our result, we derive the optimal Gaussian probe states for the estimation of the parameter characterizing a one-mode squeezing channel.
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Taxonomy
TopicsQuantum Information and Cryptography · Quantum Computing Algorithms and Architecture · Quantum Mechanics and Applications