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

Explicit method to make shortened stabilizer EAQECC from stabilizer QECC