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Paper Abstract and Keywords
Presentation 2021-12-01 09:00
Direct measurement of matrix elements of density-, process- and measurement-matrices using diagrammatic representation
Masaya Takahashi (Hokkaido Univ.), Kazuhisa Ogawa (Osaka Univ.), Akihisa Tomita (Hokkaido Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) Quantum systems are characterized by density operators for the states, process operators for the time evolution, and POVM operators for the measurements. Quantum tomography is known as a standard measurement method for these operators, but the expectation values obtained by the measurement do not directly correspond to the matrix elements of operators, and numerical processing using the entire measurement results are required to obtain each matrix element. On the other hand, the measurement method in which each matrix element can be obtained by the expectation measurement is called direct measurement, in which each complex element of the matrix is characterized operationally. The diagrammatic representation that we proposed previously can unify the direct measurement system using projective measurements and the complex values obtained from the measurements. In this paper, we experimentally implement the measurement system derived systematically using the diagram representation, directly measure the density operator and POVM operator, and evaluate the results with the fidelity.
Keyword (in Japanese) (See Japanese page) 
(in English) Quantum measurement / Direct measurement / Quantum optics / / / / /  
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Conference Information
Committee QIT  
Conference Date 2021-11-30 - 2021-12-01 
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 2021-11-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Direct measurement of matrix elements of density-, process- and measurement-matrices using diagrammatic representation 
Sub Title (in English)  
Keyword(1) Quantum measurement  
Keyword(2) Direct measurement  
Keyword(3) Quantum optics  
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1st Author's Name Masaya Takahashi  
1st Author's Affiliation Hokkaido University (Hokkaido Univ.)
2nd Author's Name Kazuhisa Ogawa  
2nd Author's Affiliation Osaka University (Osaka Univ.)
3rd Author's Name Akihisa Tomita  
3rd Author's Affiliation Hokkaido University (Hokkaido Univ.)
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Speaker Author-1 
Date Time 2021-12-01 09:00:00 
Presentation Time 20 minutes 
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