Multi-parameter quantum estimation of single- and two-mode pure Gaussian states
File(s)
Published version
Author(s)
Bressanini, Gabriele
Genoni, Marco G
Kim, MS
Paris, Matteo GA
Type
Journal Article
Abstract
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.
Date Issued
2024-08-02
Date Acceptance
2024-07-12
Citation
Journal of Physics A: Mathematical and Theoretical, 2024, 57 (31)
ISSN
1751-8113
Publisher
IOP Publishing
Journal / Book Title
Journal of Physics A: Mathematical and Theoretical
Volume
57
Issue
31
Copyright Statement
© 2024 The Author(s). Published by IOP Publishing Ltd Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
License URL
Identifier
https://iopscience.iop.org/article/10.1088/1751-8121/ad6364
Subjects
Cramer Rao bound
Gaussian quantum information
Holevo bound
Physical Sciences
Physics
Physics, Mathematical
Physics, Multidisciplinary
quantum metrology
Science & Technology
Publication Status
Published
Article Number
315305
Date Publish Online
2024-07-23