How Much Is the Cost of Implementing Arithmetic on a Quantum Computer?

Abstract

This book chapter explores the transition from classical to quantum computing, emphasizing the capabilities and challenges associated with quantum bits (qubits). Unlike classical computing, where the information is represented as binary digits, known as bits, quantum bits, or qubits, although they share similarities with classical bits, such as 0 and 1 states, they operate in superposition, simultaneously encompassing both 0 and 1 states. This unique property allows quantum computers to perform certain computations, traditionally done sequentially on classical computers, more efficiently, in a single operation with a qubit. Through comparative analysis, we investigate the feasibility and costs of integrating quantum computing into daily applications, examining the potential for personal quantum computing devices. Our findings highlight significant advancements in computational speed of routine mathematical operations, although not yet economically viable or competitive in the current market. Future directions question the market readiness for quantum computing, suggesting a pivotal shift towards cloud-based quantum computing resources.