Probability amplitude-encoded multichannel representation for quantum audio signals

A probability amplitude-encoded multichannel representation for quantum audio signals (or simply PMQA) is proposed in this study. As an entangled state, PMQA requires only one qubit to epitomise the bipolar decimal amplitude values of a quantum audio signal, which leads to considerable conservation of qubit resources relative to similar models. Furthermore, the representation provides an embodiment of a signal that can be manipulated via quantum circuits for signal and channel level operations to merge, add, invert, delay, swap, etc. different audio contents. Compared to available quantum audio representations, the proposed PMQA provides lower complexity, and its operations provide essential building blocks for applications in future quantum audio processing.