Work

Complete Weight Distribution and MacWilliams Identities for Asymmetric Quantum Codes

Year: 2018

Type: preprint

Abstract: In 1997, Shor and Laflamme defined the weight enumerators for quantum error-correcting codes and derived a MacWilliams identity. We extend their work by introducing our double weight enumerators and complete weight enumerators. The MacWilliams identities for these enumerators can be obtained similarly. With the help of MacWilliams identities, we obtain various bounds for asymmetric quantum codes.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1810.11969

Authors: Hu, Chuangqiang, Yang, Shudi, Yau, Stephen S. -T.

Institution: Tsinghua University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Center for Theoretical Sciences, National Natural Science Foundation of China, China Postdoctoral Science Foundation, Tsinghua University, Jiangsu Planned Projects for Postdoctoral Research Funds

Awards: G2771673404, Navier-Stokes 和 MHD 方程的适定性问题研究, 复解析簇的局部和整体问题研究, G5393695307, G6129197603, G695649855, 超椭圆曲线密码学中的关键算法研究, G8867792195

OpenAlex ID: W2898201708

Cites: 45

Cited by:

Related to: 10