Quasi-twisted codes are used here as the classical ingredients in the so-called Construction X for quantum error-control codes. The construction utilizes nearly self-orthogonal codes to design quantum stabilizer codes. We expand the choices of the inner product to also cover the symplectic and trace-symplectic inner products, in addition to the original Hermitian one. A refined lower bound on the minimum distance of the resulting quantum codes is established and illustrated. We report numerous record breaking quantum codes from our randomized search for inclusion in the updated online database.

翻译：拟扭转码在本文中被用作量子纠错码构造X中的经典成分。该构造利用近自正交码来设计量子稳定子码。除了原有的Hermitian内积外，我们将内积的选择范围扩展至辛内积与迹辛内积。本文建立并示例说明了所得量子码最小距离的一个改进下界。通过随机搜索，我们获得了大量破纪录的量子码，已收录于更新的在线数据库中。