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CRC Press eBooks

Quantum Computing

Aikta Varma, Tarnveer Singh

Published Sep 27, 2024• 1 citation
Publisher

Abstract

Quantum computing has long been a subject of fascination in the realm of science fiction, but in recent years, it has transitioned from the pages of novels to the forefront of technological innovation. With its immense processing power and ability to solve complex problems at an unprecedented speed, quantum computing holds tremendous potential for transforming various industries, including finance.

DOI
10.1201/9781003514503-14

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Quantum computing has long been a subject of fascination in the realm of science fiction, but in recent years, it has transitioned from the pages of novels to the forefront of technological innovation. With its immense processing power and ability to solve complex problems at an unprecedented speed, quantum computing holds tremendous potential for transforming various industries, including finance.
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Quantum Computing often described as one of the most exciting frontiers of modern science—a field that does not just push the boundaries of technology but also reshapes how we think about solving problems. Unlike classical computers, which process information in simple 0s and 1s, quantum mechanics, allowing a single qubit to explore multiple possibilities at the same time. This gives them the potential to perform calculations that would take even today’s most powerful supercomputers thousands of years. In recent years, progress has been rapid, with breakthroughs in hardware, algorithms and applications that range from developing new medicines to strengthening artificial intelligence and tackling climate change. Yet, enormous challenges remain, such as stabilizing fragile qubits, reducing error rates, and making these systems accessible beyond a handful of elite labs. This paper explores both the promises and the pitfalls of quantum computing, offering a closer look at how it could reshape industries, global security and even the pace of human innovation in the decades ahead.
Quantum computing, leveraging the principles of quantum mechanics, is emerging as one of the most transformative technologies of the 21st century, promising computational power that can tackle problems once considered unsolvable. Unlike classical computing, which processes data in bits, quantum computing operates using quantum bits or ‘qubits’ that exploit quantum superposition and entanglement, enabling vastly superior processing power. This paper examines the challenges and opportunities presented by quantum computing, focusing on its potential to transform various industries such as healthcare, finance, education, defence, utilities and more. Additionally, the paper explores its environmental implications and impact on sustainability. A literature survey of key research contributions and a discussion of commercial timelines highlight the current state and future of this revolutionary technology. While quantum computing presents immense opportunities, its technical and economic challenges must be overcome for it to reach widespread commercial adoption. The paper concludes with an exploration of the road ahead for this nascent technology. Despite significant challenges, quantum computing offers unprecedented opportunities to transform multiple sectors, making it an essential area for ongoing research.
Quantum computing is a vast field which harnesses and leverages the laws and the science behind quantum mechanics and the study of subatomic particles to solve complex problems at rapid speeds. Quantum computers, systems and algorithms are substantially more advanced than current classical computers. The power which quantum computers hold is unparalleled with regards to traditional computers. Although quantum computing is not yet perfected, it has humongous potential for future applications especially in the finance sector. Incredible amounts of time are saved during its utilization with normal computers taking years to solve a problem being converted into just mere minutes for the same. Opposed to traditional systems, quantum computers use qubits ( quantum bits ) which store greater amounts of data as compared to binary bits; rather than taking 0 or 1, one at a time, qubits help to consider them simultaneously as a combination of 0 and 1. The behaviour of quantum particles in the field of quantum mechanics is not exactly predictable which makes the laws of quantum physics different from regular physics and this is important to understand while considering quantum computing.
Quantum computing represents a revolutionary leap in computational power, leveraging the principles of quantum mechanics to process information in fundamentally new ways. Unlike classical computers, which use bits to represent data as 0s or 1s, quantum computers use quantum bits or qubits, enabling the phenomena of superposition and entanglement to perform complex calculations more efficiently (Nielsen & Chuang, 2010). This article explores the basic principles of quantum computing, the different models and algorithms that have been developed, and the current state of quantum hardware. The power of quantum computing lies in its ability to solve certain types of problems exponentially faster than classical computers. For instance, Shor's algorithm can factorize large integers in polynomial time, posing a significant threat to classical encryption methods (Shor, 1997). Similarly, Grover's algorithm provides a quadratic speedup for unstructured search problems, showcasing the potential for dramatic improvements in database search capabilities (Grover, 1996). These algorithms exemplify how quantum computing can revolutionize fields that rely on complex computations. Quantum hardware, however, is still in its nascent stage, with significant challenges to be overcome. Current quantum computers, such as those developed by IBM and Google, have demonstrated quantum supremacy but are limited by issues of qubit coherence and error rates (Arute et al., 2019). Quantum error correction and the development of more stable qubit technologies are critical areas of ongoing research (Preskill, 2018). Despite these challenges, recent advancements in quantum hardware and algorithms continue to drive the field forward, promising transformative impacts on industries such as cryptography, drug discovery, and artificial intelligence. As quantum computing continues to advance, it holds the promise of solving problems that are currently intractable for classical computers, paving the way for unprecedented technological and scientific advancements (Shor, 1997; Grover, 1996). This article provides a comprehensive overview of the current landscape of quantum computing, discussing its foundational principles, key algorithms, hardware challenges, and potential applications. By understanding these aspects, we can better appreciate the profound implications of quantum computing for the future of technology and science.
Quantum computing has been rapidly evolving as a field, with innovations driven by industry, academia, and government institutions. The technology has the potential to accelerate computation for solving complex problems across multiple industrial sectors. Finance and economics, with many problems exhibiting computationally heavy requirements, comprise a high-profile sector where quantum computing could have a significant impact. Therefore, it is important to identify and understand to what extent the technology could find utility in the sector. This technical review is written for quantum applications researchers, quantitative analysts in finance and economics, and researchers in related mathematical sciences. It is divided into two parts: (i) a survey of quantum algorithms pertinent to problems in finance and economics, and (ii) mapping of several use cases in the sector to the potential quantum algorithms presented in part (i). We discuss some challenges on the pathway to achieving quantum advantage. Ultimately, this review aims to be a catalyst for interdisciplinary research that will accelerate the advent of the practical advantages of quantum technologies to solve complex problems in this sector.