The Controlled-NOT (CNOT) gate is the key to unlock the power of quantum computing as it is a fundamental component of a universal set of gates. We demonstrate the operation of a two-bit C-NOT quantum-like gate using classical qubit acoustic analogues, called herein logical phi-bits. The logical phi-bits are supported by an externally driven nonlinear acoustic metamaterial composed of a parallel array of three elastically coupled waveguides. A logical phi-bit has a two-state degree of freedom associated with the two independent relative phases of the acoustic wave in the three waveguides. A simple physical manipulation involving the detuning of the frequency of one of the external drivers is shown to operate on the complex vectors in the Hilbert space of pairs of logical phi-bits. This operation achieves a systematic and predictable C-NOT gate with unambiguously measurable input and output. The possibility of scaling the approach to more phi-bits is promising.

Controlled-NOT (CNOT) 门是释放量子计算能力的关键，因为它是一组通用门的基本组成部分。我们使用经典的量子位声学类似物（在此称为逻辑 phi 位）演示了两位 C-NOT 类量子门的操作。逻辑 phi 位由外部驱动的非线性声学超材料支持，该超材料由三个弹性耦合波导的平行阵列组成。逻辑 phi 位具有与三个波导中声波的两个独立相对相位相关的两态自由度。一个涉及外部驱动器频率失谐的简单物理操作显示为对逻辑 phi 位对的希尔伯特空间中的复向量进行操作。该操作实现了系统化和可预测的 C-NOT 门，具有明确可测量的输入和输出。将该方法扩展到更多 phi 位的可能性是有希望的。