Work

Quantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller Codes

Year: 2007

Type: preprint

Abstract: Convolutional stabilizer codes promise to make quantum communication more reliable with attractive online encoding and decoding algorithms. This paper introduces a new approach to convolutional stabilizer codes based on direct limit constructions. Two families of quantum convolutional codes are derived from generalized Reed-Solomon codes and from Reed- Muller codes. A Singleton bound for pure convolutional stabilizer codes is given.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.quant-ph/0701037

Authors: Aly, Salah A., Klappenecker, Andreas, Sarvepalli, Pradeep Kiran

Institution: Texas A&M University

Language: English

Topic: Coding theory and cryptography

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1523670644

Cites: 17

Cited by: 16

Related to: 10