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Paper Abstract and Keywords
Presentation 2022-12-09 17:15
On a proof of the Wigner-Araki-Yanase theorem for unbounded conserved observables
Yui Kuramochi (Kyushu Univ.), Hiroyasu Tajima (UEC)
Abstract (in Japanese) (See Japanese page) 
(in English) Conservation laws of physical quantities are known to strongly restrict the class of implementable quantum measurements.
The Wigner-Araki-Yanase (WAY) theorem is a typical manifestation of this fact and states that any projective measurement that does not commute with the conserved observable of the system is not implementable under the assumption of the repeatability or the Yanase condition, which requires that the probe measurement should commute with the conserved observable of the probe system.
Recent studies give many generalizations and quantitative extensions of the WAY theorem from the viewpoint of resource theories in quantum information.
Most of the known proofs of the WAY theorem are, however, restricted to finite-dimensions or bounded conserved observables.
Few exceptions that consider unbounded conserved observables have the difficulty that they are not applicable to physically important examples like the momentum conservation.
In this talk, we introduce our recent proof of the WAY theorem for general unbounded conserved observables under the Yanase condition.
We also present another WAY-type no-go theorem for the implementations of unitary channels under conservation laws.
Keyword (in Japanese) (See Japanese page) 
(in English) Wigner-Araki-Yanase theorem / conservation law / unbounded operator / unitary channel / multiplicative domain / / /  
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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 Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) On a proof of the Wigner-Araki-Yanase theorem for unbounded conserved observables 
Sub Title (in English)  
Keyword(1) Wigner-Araki-Yanase theorem  
Keyword(2) conservation law  
Keyword(3) unbounded operator  
Keyword(4) unitary channel  
Keyword(5) multiplicative domain  
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Keyword(7)  
Keyword(8)  
1st Author's Name Yui Kuramochi  
1st Author's Affiliation Kyushu University (Kyushu Univ.)
2nd Author's Name Hiroyasu Tajima  
2nd Author's Affiliation University of Electro-Communications (UEC)
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Speaker Author-1 
Date Time 2022-12-09 17:15:00 
Presentation Time 15 minutes 
Registration for QIT 
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