We present a novel quantum fully homomorphic encryption (QFHE) scheme, which allows to perform the conditional rotation with the control bit in encrypted form. In our scheme, any quantum circuit can be directly evaluated with no need to decompose into Clifford/non-Clifford gates, nor be transformed into real representation. Consequently, our QFHE is more convenient than previous QFHE schemes for evaluating general quantum algorithms. The security of our scheme relies on the hardness of the underlying quantum capable FHE scheme, and the latter sets its security on the learning with errors problem and the circular security assumption.

翻译：我们提出了一个新型的量子完全同质加密(QFHE)计划,该计划允许以加密形式使用控制位进行有条件的旋转。 在我们的计划中,任何量子电路都可以直接评估,而不必分解到克里福德/非克利福德大门,也不必转换成真正的代表。 因此,我们的QFHE计划比以前的QFHE计划更方便地用于评估一般量子算法。我们计划的安全性取决于基本量子能力FHE计划的坚硬性,而后者则对有错误问题的学习和循环安全假设设定其安全性。