Flexible Representation and Manipulation of Audio Signals on Quantum Computers

TL;DR

This paper introduces FRQA, a novel quantum representation for audio signals that enables basic operations like addition, inversion, delay, and reversal, facilitating advanced audio processing on quantum computers.

Contribution

The paper proposes the FRQA representation for audio signals on quantum computers and develops circuits for fundamental operations, advancing quantum audio signal processing capabilities.

Findings

FRQA effectively encodes audio signals on quantum states.

Quantum circuits for basic audio operations are successfully implemented.

The approach enables building complex quantum audio processing applications.

Abstract

By analyzing the numerical representation of amplitude values in audio signals and integrating the time component, a representation for audio signals on quantum computers, FRQA, is proposed. The FRQA representation is a normalized state that facilitates basic audio signal operations targeting these parameters. The preparation and retrieval for FRQA are discussed and, based on the FRQA state, we realize the circuits to accomplish basic audio signal operations such as signal addition, signal inversion, signal delay, and signal reversal. These operations can be employed as the major components to build advanced operations for particular applications in the quantum computing domain.