Journal
COMMUNICATIONS IN MATHEMATICAL PHYSICS
Volume 304, Issue 3, Pages 689-709Publisher
SPRINGER
DOI: 10.1007/s00220-011-1239-4
Keywords
-
Categories
Funding
- MEXT [18079014, 20686026]
- Singapore Ministry of Education
- National Research Foundation
Ask authors/readers for more resources
In a unified viewpoint in quantum channel estimation, we compare the Cram,r-Rao and the mini-max approaches, which gives the Bayesian bound in the group covariant model. For this purpose, we introduce the local asymptotic mini-max bound, whose maximum is shown to be equal to the asymptotic limit of the mini-max bound. It is shown that the local asymptotic mini-max bound is strictly larger than the Cram,r-Rao bound in the phase estimation case while both bounds coincide when the minimum mean square error decreases with the order O(1/n) . We also derive a sufficient condition so that the minimum mean square error decreases with the order O(1/n).
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available