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Paper Abstract and Keywords
Presentation 2019-05-20 12:00
One-Shot Randomized and Nonrandomized Partial Decoupling
Eyuri Wakakuwa (UEC), Yoshifumi Nakata (Kyoto U)
Abstract (in Japanese) (See Japanese page) 
(in English) We introduce a task that we call partial decoupling, in which a bipartite quantum state is transformed by a unitary operation on one of the two subsystems and then is subject to the action of a quantum channel. We assume that the subsystem is decomposed into a direct-sum-product form, which often appears in the context of quantum information theory. The unitary is chosen at random from the set of unitaries having a simple form under the decomposition. The goal of the task is to make the final state, for typical choices of the unitary, close to the averaged final state over the unitaries. We consider a one-shot scenario, and derive upper and lower bounds on the average distance between the two states. The bounds are represented simply in terms of smooth conditional entropies of quantum states involving the initial state, the channel and the decomposition. Thereby we provide generalizations of the one-shot decoupling theorem. The obtained result would lead to further development of the decoupling approaches in quantum information theory and fundamental physics.
Keyword (in Japanese) (See Japanese page) 
(in English) decoupling theorem / random unitary / quantum channel coding / black hole / / / /  
Reference Info. IEICE Tech. Rep.
Paper #  
Date of Issue  
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380
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Conference Information
Committee QIT  
Conference Date 2019-05-20 - 2019-05-21 
Place (in Japanese) (See Japanese page) 
Place (in English) Kyushu University, Chikushi Campus 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2019-05-QIT 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) One-Shot Randomized and Nonrandomized Partial Decoupling 
Sub Title (in English)  
Keyword(1) decoupling theorem  
Keyword(2) random unitary  
Keyword(3) quantum channel coding  
Keyword(4) black hole  
1st Author's Name Eyuri Wakakuwa  
1st Author's Affiliation University of Electro-Communications (UEC)
2nd Author's Name Yoshifumi Nakata  
2nd Author's Affiliation Kyoto University (Kyoto U)
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Date Time 2019-05-20 12:00:00 
Presentation Time 20 
Registration for QIT 
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