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IEEE Nanotechnology Magazine

Quantum Computing Technology [Guest Editorial]

Ching‐Ray Chang, Chao‐Sung Lai

Published Jul 14, 2022• 0 citations
Publisher

Abstract

Digital computers can perform fast sequential operations. After bit operations, a definite sequence of zeros or ones is obtained, which is similar to the use of an electronic mechanism to quickly operate a huge abacus. The bit of a digital computer is in a definite state of zero or one, but actual physics is continuous. There exists a significant deficiency in using digital Turing machines to describe the physical world. On the other hand, quantum physics happens to be discontinuous, and, thus, quantum Turing machines are truly compatible with problems in the quantum world.

DOI
10.1109/mnano.2022.3175106

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Digital computers can perform fast sequential operations. After bit operations, a definite sequence of zeros or ones is obtained, which is similar to the use of an electronic mechanism to quickly operate a huge abacus. The bit of a digital computer is in a definite state of zero or one, but actual physics is continuous. There exists a significant deficiency in using digital Turing machines to describe the physical world. On the other hand, quantum physics happens to be discontinuous, and, thus, quantum Turing machines are truly compatible with problems in the quantum world.
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In the preceding chapter we established that a suitable set of quantum gates, complemented by quantum error correction, allows us to produce a desired multiqubit unitary transformation. This transformation is one of the three steps in a quantum computation; the others, of course, are the preparation of the qubits in their initial state and the measurement of them after the transformation has been implemented. A quantum computation is designed to solve a problem or class of problems. The power of quantum computers is that they can do this, at least for some problems, very much more efficiently and quickly than any conventional computer based on classical logic operations. If we can build a quantum computer then a number of important problems which are currently intractable will become solvable. The potential for greatly enhanced computational power is, in itself, reason enough to study quantum computers, but there is another. Moore’s law is the observation that the number of transistors on a chip doubles roughly every eighteen months. A simple corollary is that computer performance also doubles on the same timescale. Associated with this exponential improvement is a dramatic reduction in the size of individual components. If the pace is to be kept up then it is inevitable that quantum effects will become increasingly important and ultimately will limit the operation of the computer. In these circumstances it is sensible to consider the possibility of harnessing quantum effects to realize quantum information processors and computers. We start with a brief introduction to the theory of computer science, the principles of which underlie the operation of what we shall refer to as classical computers. These include all existing machines and any based on the manipulation of classical bits. The development of computer science owes much to Turing, who devised a simple but powerful model of a computing device: the Turing machine. It its most elementary form, this consists of four elements. (i) A tape for data storage, which acts as a memory. This tape has a sequence of spaces, each of which has on it one of a finite set of symbols. (ii) A processor, which controls the operations of the machine.
Quantum computing uses the phenomena of quantum mechanics to perform operations on data and it’s a huge leap in the field of computation. A quantum computer is a computational device which uses quantum mechanical phenomena like superposition and entanglement of atoms, photons, electrons. The difference between Quantum computers and digital computers is that digital computers are based on transistors and require data to be encoded into binary digits (bits). Quantum computers use quantum bits (qubits) and use quantum properties to represent data. Quantum computers can solve certain computational problems like integer factorization faster than classical computers. Quantum computers can solve certain problems that no classical computer could solve in any feasible amount of time. The Quantum Computing Market was valued at USD 89M in the year 2016 and is expected to reach USD 949M by 2025. Industry leaders are trying to develop and launch an actual quantum computer and make it available for everyone. Many companies are working in this area and are providing platforms to build quantum algorithms. There could be around 2,000 to 5,000 quantum computers in the world by 2030. This paper provides an introduction to quantum computing, quantum mechanical phenomena used in quantum computing and quantum computing service providers
In the twenty-fi rst century, many signifi cant developments in science and engineering have been achieved through interdisciplinary research. Quantum computing (QC) is about computing with quantum systems, called quantum computers. A quantum computer is a computational device that makes use of the quantum mechanics (QM) phenomena such as entanglement, superposition and interference to perform operations on data. Quantum computers are different from classical binary digital computers since they work with quantum bits. The theoretical model is the quantum turing machine (QTM) which is a normal turing machine (TM) with quantum parallelism. Richard Feynman introduced this fi eld for the fi rst time in the 80’s (Feynman 1982) since he observed that certain quantum-mechanical effects cannot be simulated in an effi cient way using a classical computer. Such observation let to speculate that using quantum effects may become more effi cient computing. The interest grew up in 1994 when Peter Shor published the paper entitled “Algorithms for Quantum Computation : Discrete Logarithms and Factoring” (Shor 1994) where he described polynomial time quantum algorithms for fi nding discrete logarithms and factoring integers.
Computation is a process of performing a large number of simple operations. The main building blocks of classical computers are bits. Each of them can take either the value 0 or 1. A series of gates can change these values by acting on them selectively. This process is structured to fulfil a purpose. For example, if we are interested in adding two numbers, the numbers are encoded into bits and gates are performed such that the final state of the bits reveals the desired answer: a number which is the sum of the initial ones. While it is possible to build algorithms that can perform almost any computation, it is also desirable to find the answer within a reasonable length of time or with a reasonable amount of resources. There is an ever-growing demand in computational power for both scientific and commercial purposes. Indeed, it is surprisingly easy to find an application that can jam even the fastest computer. This fuels a vast effort in the research of information science to increase the speed and processing power of computers. Modern computational models are based on the universal Turing machine (Turing, 1937). This is a theoretical information processing model that employs the elementary gate processes described above. It can efficiently simulate any other device capable of performing an algorithmic process. Since the introduction of the Turing machine, physics has influenced computation in many ways.
Universal computing can be dated to 1903 when Alan Turing’s theoretical model of the Turing machine led a large-scale innovative revolution towards digital computing machines.¹ The next milestone is to process and control information at its fundamental level — quantum states of particles. Richard Feynman first pointed out that as certain types of computational problems get more complex, classical bits fail to give efficient answers.² For example, when simulating quantum mechanics, the amount of memory needed to describe a quantum system increases exponentially with the number of its components. A new device — a quantum computer — is therefore highly sought after by physicists.³