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Optimal probe states for the estimation of Gaussian unitary channels

�afr�nek, Dominik; Fuentes, Ivette


Dominik �afr�nek

Ivette Fuentes


We construct a practical method for finding optimal Gaussian probe states for the estimation of parameters encoded by Gaussian unitary channels. This method can be used for finding all optimal probe states, rather than focusing on the performance of specific states as shown in previous studies. As an example, we apply this method to find optimal probes for the channel that combines the phase-change and squeezing channels, and for generalized two-mode squeezing and mode-mixing channels. The method enables a comprehensive study of temperature effects in Gaussian parameter estimation. It has been shown that the precision in parameter estimation using single-mode states can be enhanced by increasing the temperature of the probe. We show that not only higher temperature, but also larger temperature differences between modes of a Gaussian probe state can enhance the estimation precision.


Šafránek, D., & Fuentes, I. (2016). Optimal probe states for the estimation of Gaussian unitary channels. Physical Review A, 94(6),

Journal Article Type Article
Acceptance Date Dec 12, 2016
Online Publication Date Dec 12, 2016
Publication Date Dec 12, 2016
Deposit Date Dec 7, 2018
Journal Physical Review A
Print ISSN 2469-9926
Electronic ISSN 2469-9934
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 94
Issue 6
Public URL
Publisher URL

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