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Paper Abstract and Keywords
Presentation 2024-05-29 09:30
Performance analysis of quantum error correction for the binomial code without ancillary qubits
Yuuki Tanaka (Chuo Univ.), Yuichiro Mori (AIST), Yuta Shingu (Tokyo Univ. of Sci.), Tsuyoshi Yamamoto, Aiko Yamaguchi (NEC), Yuichiro Matsuzaki (Chuo Univ.)
Abstract (in Japanese) (See Japanese page) 
(in English) Great attention has been paid to binomial codes utilizing bosonic systems as logical qubits with error-correction capabilities. However, implementing single-qubit rotation operations on Binomial codes has proven challenging, requiring an ancillary qubit in previous approaches. In the last talk, we proposed a method for performing logical qubit rotation on Binomial codes without requiring an auxiliary qubit. Specifically, we explained how to implement X-axis rotations by simultaneously applying two-frequency parametric drives to resonators with nonlinearity. Furthermore, we showed that Z-axis rotations could be realized with the detuning. Due to the reduction of the need for the ancillary qubit, the proposed approach seemed to be advantageous for quantum computation in the NISQ era, where the number of qubits is limited. Here, we study the performance of quantum error correction utilizing our proposed Binomial code, evaluated through numerical simulations. We calculate the fidelity of error correction performed on states subjected to the single-photon loss modeled by master equations. Despite the influence of decoherence during error correction, we observe an increase in fidelity compared to pre-correction states. These results demonstrate the utility of our proposal.
Keyword (in Japanese) (See Japanese page) 
(in English) Quantum computation / bosonic systems / quantum error correction / / / / /  
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Conference Information
Committee QIT  
Conference Date 2024-05-28 - 2024-05-30 
Place (in Japanese) (See Japanese page) 
Place (in English) AIST Tsukuba 
Topics (in Japanese) (See Japanese page) 
Topics (in English) Quantum Information 
Paper Information
Registration To QIT 
Conference Code 2024-05-QIT 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Performance analysis of quantum error correction for the binomial code without ancillary qubits 
Sub Title (in English)  
Keyword(1) Quantum computation  
Keyword(2) bosonic systems  
Keyword(3) quantum error correction  
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1st Author's Name Yuuki Tanaka  
1st Author's Affiliation Chuo University (Chuo Univ.)
2nd Author's Name Yuichiro Mori  
2nd Author's Affiliation National Institute of Advanced Industrial Science and Technology (AIST)
3rd Author's Name Yuta Shingu  
3rd Author's Affiliation Tokyo University of Science (Tokyo Univ. of Sci.)
4th Author's Name Tsuyoshi Yamamoto  
4th Author's Affiliation NEC Corporation (NEC)
5th Author's Name Aiko Yamaguchi  
5th Author's Affiliation NEC Corporation (NEC)
6th Author's Name Yuichiro Matsuzaki  
6th Author's Affiliation Chuo University (Chuo Univ.)
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Speaker Author-1 
Date Time 2024-05-29 09:30:00 
Presentation Time 20 minutes 
Registration for QIT 
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