Journal
JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS
Volume 52, Issue 1, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1361-6455/aaf348
Keywords
quantum sensor; phase estimation; quantum metrology
Categories
Funding
- Ministry of Education
- National Research Foundation of Singapore
- National Research Foundation Singapore under its Competitive Research Programme (CRP) [NRF-CRP14-2014-02]
- JSPS [23246071, 17H01280, 16KT0017]
- National Institute of Information and Communication Technology (NICT), Japan
- IITB-IRCC [16IRCCSG019]
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In quantum metrology, it is widely believed that the quantum Cramer-Rao bound is an attainable bound. However, this is not always true. In order to clarify this point, we explain why the quantum Cramer-Rao bound cannot be attained. Here, we investigate noiseless channel estimation under energy constraint for states, using a physically reasonable error function, and present a state achieving the optimal rate as well as the attainable bound. We propose an experimental generation of the optimal states for enhanced metrology using squeezing transformations. This makes phase/unitary estimation physically implementable.
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