普适容错量子计算中的混合魔态提纯

set of stabilizer operations augmented by some special initialstates known as ``magic states", gives the possibility of universalfault-tolerant quantum computation. However, magic state preparationinevitably involves fault-untolerant operations that introducenoise. The most common method to eliminate the noise ismagic state distillation (MSD) by stabilizer operations. Here wepropose a hybrid MSD protocol by connecting a four-qubit $H$-typeMSD with a five-qubit $T$-type MSD to overcome the disadvantages ofthe previous MSD protocols. The hybrid MSD protocol furtherintegrates distillable ranges of different exisiting MSD protocols,and provides considerable improvement in qubit resource consumptionfor almost all of the distillable region. Moreover, weexperimentally demonstrate the four-qubit $H$-type MSD protocolusing nuclear magnetic resonance technology.