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Presentation 2021-05-25 14:20
Efficient computation of the Nagaoka-Hayashi bound for multi-parameter estimation with separable measurements
Lorcan O. Conlon (ANU), Jun Suzuki (UEC), Ping Koy Lam, Syed M. Assad (ANU)
Abstract (in Japanese) (See Japanese page) 
(in English) Finding the optimal attainable precisions in quantum multi-parameter metrology is a non-trivial problem. One approach to tackling this problem involves the computation of bounds which impose limits on how accurately we can estimate certain physical quantities. One such bound is the Holevo Cramer-Rao bound on the trace of the mean squared error matrix. The Holevo bound is an asymptotically achievable bound when one allows for any measurement strategy, including collective measurements on many copies of the probe. In this work we introduce a new bound, the Nagaoka-Hayashi bound, for estimating multiple parameters simultaneously. We show that this bound can be efficiently computed by casting it as a semidefinite program. This is a tighter bound than the Holevo bound and holds when we are restricted to separable measurements, thus making it more relevant in terms of experimental accessibility. We illustrate our bound with several examples of collective measurements on finite copies of the probe. These results have implications for the necessary requirements to saturate the Holevo bound.
Keyword (in Japanese) (See Japanese page) 
(in English) Quantum parameter estimation / Nagaoka-Hayashi bound / Semi-definite program / / / / /  
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Conference Information
Committee QIT  
Conference Date 2021-05-24 - 2021-05-25 
Place (in Japanese) (See Japanese page) 
Place (in English) Online 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2021-05-QIT 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Efficient computation of the Nagaoka-Hayashi bound for multi-parameter estimation with separable measurements 
Sub Title (in English)  
Keyword(1) Quantum parameter estimation  
Keyword(2) Nagaoka-Hayashi bound  
Keyword(3) Semi-definite program  
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1st Author's Name Lorcan O. Conlon  
1st Author's Affiliation Australian National University (ANU)
2nd Author's Name Jun Suzuki  
2nd Author's Affiliation The university of Electro-Communications (UEC)
3rd Author's Name Ping Koy Lam  
3rd Author's Affiliation Australian National University (ANU)
4th Author's Name Syed M. Assad  
4th Author's Affiliation Australian National University (ANU)
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Speaker Author-2 
Date Time 2021-05-25 14:20:00 
Presentation Time 20 minutes 
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