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Paper Abstract and Keywords
Presentation 2019-05-21 12:00
Analysis of Quantum Multi-Prover Zero-Knowledge Systems: Elimination of the Honest Condition and Computational Zero-Knowledge Systems for QMIP
Yusuke Kinoshita (Nagoya Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) Zero-knowledge and multi-prover systems are both central notions in classical and quantum complexity
theory. There is, however, little research in quantum multi-prover zero-knowledge systems. This paper studies
complexity-theoretical aspects of the quantum multi-prover zero-knowledge systems. This paper has two results:
• QMIP ∗ systems with honest zero-knowledge can be converted into general zero-knowledge systems without any
assumptions.
• QMIP ∗ has computational quantum zero-knowledge systems if a natural computational conjecture holds.
One of the main tools is a test (called the GHZ test) that uses GHZ states shared by the provers, which prevents the
verifier’s attack in the above two results. Another main tool is what we call the Local Hamiltonian based Interactive
protocol (LHI protocol). The LHI protocol makes previous research for Local Hamiltonians applicable to check the
history state of interactive proofs, and we then apply Broadbent et al.’s zero-knowledge protocol for QMA[5] to
quantum multi-prover systems in order to obtain the second result.
Keyword (in Japanese) (See Japanese page) 
(in English) Quantum Complexity / Multi-interactive proof system / zero-knowledge / / / / /  
Reference Info. IEICE Tech. Rep.
Paper #  
Date of Issue  
ISSN Print edition: ISSN 0913-5685  Online edition: ISSN 2432-6380

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 Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Analysis of Quantum Multi-Prover Zero-Knowledge Systems: Elimination of the Honest Condition and Computational Zero-Knowledge Systems for QMIP 
Sub Title (in English)  
Keyword(1) Quantum Complexity  
Keyword(2) Multi-interactive proof system  
Keyword(3) zero-knowledge  
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1st Author's Name Yusuke Kinoshita  
1st Author's Affiliation Nagoya Unigersity (Nagoya Univ.)
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Speaker
Date Time 2019-05-21 12:00:00 
Presentation Time 20 
Registration for QIT 
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