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Paper Abstract and Keywords
Presentation 2022-12-09 16:30
Error trade-off relation for estimating momentum shift of relativistic spin-1/2 particle
Shin Funada, Jun Suzuki (UEC)
Abstract (in Japanese) (See Japanese page) 
(in English) We study the estimation of the momentum shift of a relativistic spin-1/2 particle described by a gaussian wave function with a down spin in a rest frame. We then consider a situation where an observer moves along the z-axis with respect to the rest frame. We analyze the symmetric logarithmic derivative (SLD) and the lambda logarithmic derivative (lambda LD) Cramer-Rao (CR) bounds for the mean square error of estimating unitary shifts in the position by the moving observer. By a relativistic effect, the state of the moving observer after the Lorentz transformation is described by an application of the Wigner rotation, which entangles the wave function and the spin of the particle. It is shown that the trade-off relation between the mean square errors can be detected by using both the SLD and lambda LD Fisher CR bounds when the moving observer cannot measure the spin degree of freedom.
Keyword (in Japanese) (See Japanese page) 
(in English) quantum estimation / quantum Fisher information / Wigner rotation / / / / /  
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Conference Information
Committee QIT  
Conference Date 2022-12-08 - 2022-12-09 
Place (in Japanese) (See Japanese page) 
Place (in English) Keio Univ. 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2022-12-QIT 
Language English 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Error trade-off relation for estimating momentum shift of relativistic spin-1/2 particle 
Sub Title (in English)  
Keyword(1) quantum estimation  
Keyword(2) quantum Fisher information  
Keyword(3) Wigner rotation  
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1st Author's Name Shin Funada  
1st Author's Affiliation The University of Electro-Communications (UEC)
2nd Author's Name Jun Suzuki  
2nd Author's Affiliation The University of Electro-Communications (UEC)
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Speaker Author-1 
Date Time 2022-12-09 16:30:00 
Presentation Time 15 minutes 
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