In this section
@article{Bressanini:2024:1751-8121/ad6364,
author = {Bressanini, G and Genoni, MG and Kim, MS and Paris, MGA},
doi = {1751-8121/ad6364},
journal = {Journal of Physics A: Mathematical and Theoretical},
title = {Multi-parameter quantum estimation of single- and two-mode pure Gaussian states},
url = {http://dx.doi.org/10.1088/1751-8121/ad6364},
volume = {57},
year = {2024}
}
TY - JOUR
AB - We discuss the ultimate precision bounds on the multiparameter estimation of single- and two-mode pure Gaussian states. By leveraging on previous approaches that focused on the estimation of a complex displacement only, we derive the Holevo Cramér–Rao bound (HCRB) for both displacement and squeezing parameter characterizing single and two-mode squeezed states. In the single-mode scenario, we obtain an analytical bound and find that it degrades monotonically as the squeezing increases. Furthermore, we prove that heterodyne detection is nearly optimal in the large squeezing limit, but in general the optimal measurement must include non-Gaussian resources. On the other hand, in the two-mode setting, the HCRB improves as the squeezing parameter grows and we show that it can be attained using double-homodyne detection.
AU - Bressanini,G
AU - Genoni,MG
AU - Kim,MS
AU - Paris,MGA
DO - 1751-8121/ad6364
PY - 2024///
SN - 1751-8113
TI - Multi-parameter quantum estimation of single- and two-mode pure Gaussian states
T2 - Journal of Physics A: Mathematical and Theoretical
UR - http://dx.doi.org/10.1088/1751-8121/ad6364
UR - https://iopscience.iop.org/article/10.1088/1751-8121/ad6364
VL - 57
ER -