Title: Zero-error channel capacity of quantum 5-symbol obfuscation model

Authors: Wenbin Yu; Zijia Xiong; Yang Liu; Shanshan Rong; Siyao Wang; Yinsong Xu; Alex X. Liu

Addresses: Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Jiangsu Engineering Center of Network Monitoring, School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China; Department of Computer Science and Engineering, Michigan State University, East Lansing, MI 48824-1266, USA ' Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Jiangsu Engineering Center of Network Monitoring, School of Computer and Software, Nanjing University of Information Science & Technology, Nanjing 210044, Jiangsu, China ' School of Applied Technology, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China ' Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Jiangsu Engineering Center of Network Monitoring, School of Computer and Software, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China ' School of Applied Technology, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, China ' Jiangsu Collaborative Innovation Center of Atmospheric Environment and Equipment Technology (CICAEET), Jiangsu Engineering Center of Network Monitoring, School of Computer and Software, Nanjing University of Information Science & Technology, Nanjing 210044, Jiangsu, China ' Department of Computer Science and Engineering, Michigan State University, East Lansing, MI 48824-1266, USA

Abstract: The existing noise channel coding methods need to be optimised in terms of channel capacity and algorithm complexity. Based on the characteristics of the quantum 5-symbol confusion-channel model and the theory of matrices, a coding method is proposed which combines the 5-symbol confusion channel with the quantum-superposition-state coding. This coding method uses two isomorphism steps to obtain the zero-error code words, which are the isomorphism between quantum superposition states and vectors and the isomorphism between channels and matrices. The theoretical derivation proves that the channel capacity is able to increase by employing quantum zero-error coding other than its classical counterpart.

Keywords: quantum coding; zero-error channel; channel capacity.

DOI: 10.1504/IJES.2020.110646

International Journal of Embedded Systems, 2020 Vol.13 No.4, pp.372 - 379

Received: 29 Jun 2019
Accepted: 13 Aug 2019
Published online: 27 Oct 2020 *

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