In the previous research by Grassl, Huber and Winter, they proved a theorem which can make entanglement-assisted quantum error-correcting codes (EAQECC) from general quantum error-correcting codes (QECC). In this paper, we prove that the shortened EAQECC is a stabilizer code if the original EAQECC is a stabilizer code.

翻译：在格拉斯尔、休伯和冬季的先前研究中,它们证明了一种理论,可以从普通量子误差校正代码(QECC)中得出纠缠辅助量子误差校正代码(EAQECC ) 。 在本文中,我们证明,如果原EAQECC是一个稳定代码,那么缩短的EAQECC是一个稳定代码。