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Paper Abstract and Keywords
Presentation 2022-12-09 16:45
Universal decoding of a single qubit information: deterministic and exact protocol
Satoshi Yoshida (UTokyo), Akihito Soeda (NII), Mio Murao (UTokyo)
Abstract (in Japanese) (See Japanese page) 
(in English) In this work, we report a deterministic and exact protocol to reverse any unknown qubit-encoding isometry operation. We present the semidefinite programming (SDP) to search the Choi matrix representing a quantum circuit reversing any unitary operation. We derive a quantum circuit transforming four calls of any qubit-unitary operation into its inverse operation by imposing the SU(2)×SU(2) symmetry on the Choi matrix. This protocol only applies only for qubit-unitary operations, but we extend this protocol to any qubit-encoding isometry operations. For that, we derive a subroutine to transform a unitary inversion protocol to an isometry inversion protocol by constructing a quantum circuit transforming finite sequential calls of any isometry operation into random unitary operations.
Keyword (in Japanese) (See Japanese page) 
(in English) Higher-order quantum transformations / Quantum supermaps / Isometry operations / Encoding and decoding of quantum information / / / /  
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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) Universal decoding of a single qubit information: deterministic and exact protocol 
Sub Title (in English)  
Keyword(1) Higher-order quantum transformations  
Keyword(2) Quantum supermaps  
Keyword(3) Isometry operations  
Keyword(4) Encoding and decoding of quantum information  
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1st Author's Name Satoshi Yoshida  
1st Author's Affiliation University of Tokyo (UTokyo)
2nd Author's Name Akihito Soeda  
2nd Author's Affiliation National Institute of Informatics (NII)
3rd Author's Name Mio Murao  
3rd Author's Affiliation University of Tokyo (UTokyo)
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Speaker Author-1 
Date Time 2022-12-09 16:45:00 
Presentation Time 15 minutes 
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