Quantum Convolutional Codes Constructed from Classical Self-Orthogonal Convolutional Codes

In this paper, we construct new quantum convolutional codes (QCCs) from classical self-orthogonal convolutional (CSOC) codes. We develop a methodology that achieves the required code orthogonality and allows for code performance optimization, generalizing to the full algebraic structure. This approach leverages the significant body of work in classical CSOCs to achieve a specified free distance.