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Paper Abstract and Keywords
Presentation 2018-11-26 13:30
[Poster Presentation] Uncertainty relation from parameter estimation of the position of an electron in a uniform magnetic field
Shin Funada, Jun Suzuki (UEC)
Abstract (in Japanese) (See Japanese page) 
(in English) We derive the uncertainty relation for the position of an electron in a uniform magnetic field by the parameter estimation problem of the two-parameter unitary models. We first use the canonical momentum operators to generate unitary transformations for the electron position. Next, we use the standard momentum operators as the generators for the unitary transformations. In the first case, we show that the model is exactly equal to the well-known gaussian shift model, and the derived uncertainty relation is given by the RLD Fisher information matrix. In the second case, a nontrivial uncertainty relation is derived by using both the RLD or SLD Fisher information matrices. We analyze achievability of the derived bounds and show that the second case is not tight in general even asymptotically.
Keyword (in Japanese) (See Japanese page) 
(in English) Uncertainty relation / quantum parameter estimation theory / quantum Fisher information / / / / /  
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Conference Information
Committee QIT  
Conference Date 2018-11-26 - 2018-11-27 
Place (in Japanese) (See Japanese page) 
Place (in English) The University of Tokyo 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2018-11-QIT 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Uncertainty relation from parameter estimation of the position of an electron in a uniform magnetic field 
Sub Title (in English)  
Keyword(1) Uncertainty relation  
Keyword(2) quantum parameter estimation theory  
Keyword(3) quantum Fisher information  
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1st Author's Name Shin Funada  
1st Author's Affiliation The University of Electro-Communication (UEC)
2nd Author's Name Jun Suzuki  
2nd Author's Affiliation The University of Electro-Communication (UEC)
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Speaker Author-1 
Date Time 2018-11-26 13:30:00 
Presentation Time 120 minutes 
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