Proposing a New and Comprehensive Method for Quantum Representation of Digital Audio Signals

Consequences such as increasing computational load, increasing time complexity, inability or inefficiency to implement some algorithms and processes, along with the increasing volume of information and data, bring about almost an end to classical calculations. In recent decades, quantum computing has emerged as one of the promising new technologies to overcome the limitations of classical computing, and a new  generation of computers and communication networks is being formed based on it. Digital signal  processing is one of the areas that has tried to use the capabilities of quantum computing. In this regard, there are a few methods for representing audio signals in quantum form, which are either unable to display accurately a digital signal in quantum form or can't be used for single-channel or multi-channel audio signals. Therefore, a comprehensive and precise method is needed. Accordingly, in this paper, a comprehensive quantum representation of digital signals (CQRDS) is proposed, which can accurately display each digital audio signal in the quantum form. Besides, it can be used to represent a variety of single-channel or multi-channel audio signals. The proposed representation uses three entangled qubit  sequences, including a 2's complement fractional sequence, to store the amplitude of the samples, and two quantum sequences in true form to store the channel information and the time information of the samples. Representation, preparation, retrieval, and compression of quantum audio signals are described by the  proposed method of this paper. Also, a precise comparison between the capabilities and features of the  proposed method with that of the existing methods is presented, indicating its comprehensiveness.