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Sequential Division Circuit Using Reversible Logic Gates

Ashraful Haque, Sadia Isfat Ara Rahman

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

computer is a computation device that incorporates quantum mechanical phenomena distinctively to perform operation on data in terms of superposition & entanglement. In contrast to traditional computer where data is represented by means of bits, Q.C makes use of Quantum bits (qubits)for data representation (12). There are several reasons that researchers are working so hard to develop a practical quantum computer. First, atoms change energy states very quickly -- much more quickly than even the fastest computer processors. Next, given the right type of problem, each qubit can take the place of an entire processor -- meaning that 1,000 ions of say, barium, could take the place of a 1,000-processor computer. The key is finding the sort of problem a quantum computer is able to solve.

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•Jan 1, 2014•0 citations
computer is a computation device that incorporates quantum mechanical phenomena distinctively to perform operation on data in terms of superposition & entanglement. In contrast to traditional computer where data is represented by means of bits, Q.C makes use of Quantum bits (qubits)for data representation (12). There are several reasons that researchers are working so hard to develop a practical quantum computer. First, atoms change energy states very quickly -- much more quickly than even the fastest computer processors. Next, given the right type of problem, each qubit can take the place of an entire processor -- meaning that 1,000 ions of say, barium, could take the place of a 1,000-processor computer. The key is finding the sort of problem a quantum computer is able to solve.
Today's computers work on bits that exist as either 0 or 1. Quantum computers aren't limited to two states; they encode information as quantum bits, or qubits, which can exist in superposition. Qubits represent atoms, ions, photons or electrons and their respective control devices that are working together to act as computer memory and a processor. Because a quantum computer can contain these multiple states simultaneously, it has the potential to be millions of times more powerful than today's most powerful supercomputers. A processor that can use registers of qubits will be able to perform calculations using all the possible values of the input registers simultaneously. This superposition causes a phenomenon called quantum parallelism, and is the motivating force behind the research being carried out in quantum computing. Due to technical obstacles, till date, a quantum computer has not yet been realized. But the concepts and ideas of quantum computing has been demonstrated using various methods like NMR, Ion Trap, Quantum Dot, Optical Methods, etc. A quantum computer manipulates qubits by executing a series of quantum gates, each a unitary transformation acting on a single qubit or pair of qubits. In applying these gates in succession, a quantum computer can perform a complicated unitary transformation to a set of qubits in some initial state. The qubits can then be measured, with this measurement serving as the final computational result. Research must devise a way to maintain decoherence and other potential sources of error at an acceptable level. Probably the most important idea in this field is the application of error correction in phase coherence as a means to extract information and reduce error in a quantum system without actually measuring that system. Thereby, quantum computers will emerge as the superior computational devices and perhaps one day make today's modern computer obsolete.
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
Abstract: Quantum computing is a new type of computing that uses the principles of quantum physics to perform calculations in ways that are not possible with traditional computers. Unlike classical computers, which process information using bits that are either 0 or 1, quantum computers use quantum bits (qubits) that can exist in multiple states at the same time. This ability allows quantum systems to solve certain complex problems much faster than classical machines. This paper presents a simple and human-centered explanation of quantum computing, focusing on how it works, why it matters, and how it can be applied in real-world situations. The study discusses key concepts such as superposition, entanglement, and quantum gates using easy-to-understand language. It also explores practical applications including cryptography, optimization, drug discovery, and material simulation. In addition, this paper examines the current challenges in quantum computing, such as hardware instability, error correction, limited qubit scalability, and high implementation cost. A conceptual hybrid classical–quantum system model is proposed to show how quantum and classical computers can work together to solve complex problems more efficiently. The goal of this research is to make quantum computing more understandable to students, educators, and decision-makers, and to encourage early awareness and responsible development of this powerful technology. Keywords — quantum computing, qubit, superposition, entanglement, quantum gate, error correction, hybrid computing
In the twentieth century, quantum physics is one of the most successful approaches in scientific progress. To theorize the concept of quantum computing Max Planck's idea of the existence of energy in individual units like matter was used. Since then, the idea of manufacturing quantum computers for everyday use is becoming more plausible with technological advances in quantum theory. A classical computer carries out logical operations using a bit which is either 1 or 0. In contrast to a classical computer, a quantum computer works with a quantum bit or qubit, which is not limited to two states only. Qubits can exist in a superposition of the two states creating parallelism. Qubit represents the state of atoms, ions, photons or electrons. These qubits which work together with a control device act as a computer memory.Quantum computers have the potential to become million times more potent than present-day supercomputers due to the presence of these multiple states simultaneously. Concepts and ideas of quantum computing have been demonstrated by different methods like Ion Trap, Quantum Dot methods etc. However, the actual realization of such a superior system is still in the future. A strategy must be formulated to maintain decoherence and other potential sources of error at a permissible level.Astonishingly, quantum computing took a long time to take off, even though the physicists have known about the world of subatomic particles. Even so, it took computer scientists another half-century to consider harnessing quantum effects for computation. Also, it was later discovered that quantum computers could solve quantum mechanical many-body problems that are impractical to solve on a classical computer. The foundations of the subject of quantum computation may have become well-published, but the knowledge is still growing. Hence here is a research paper based on the study of quantum computation.
A quantum computer is a device for computation that makes direct use of distinctively quantum mechanical phenomena, such as superposition and entanglement, to perform operations on data. In a classical (or conventional) computer, the amount of data is measured by bits, in a quantum computer; it is measured by quantum of bits (qubits). This work describes, and implements the universal quantum logic gates, the terminology is introduced with two well known quantum gates, the quantum NOT, and the quantum XOR gates. The NOT and XOR gates have already been described in classical reversible logic. This work gives the implementation of the quantum circuits, such as the Quantum Half-Adder Circuits, which consists of quantum control control not gate (CCNot) and quantum control not gate (CNot). Also, it describes and implements the Quantum Full-Adder Circuits, which consists of two Quantum Half-Adder Circuits and one control not gate (CNot). Depending on the quantum circuits, one can implement the quantum basic arithmetic operations such as (addition, subtraction, multiplication and division). After each implementation, the computational complexity of each step is calculated. Key words:
This Research paper gives a review of Quantum Computing Devices - How they uses quantum mechanical Phenomena to per- forms operations on data through Superposition and entanglement? What makes them different from Classical computer? How Q-bits play a nec- essary role? This review paper will also answer the needs of quantum computation and the benefits of its application and processing power as compared to the classical computer. Quantum Computers are working on qubits that makes it immensely powerful and even make Quantum Computers to break one of the secure Public-key cryptography RSA. What makes them so powerful? And what are the areas of Quantum Com- puting device in which it can be fruitful. This paper introduces all pros and cons of quantum computing and tell us why upto certain bits Quantum Computers are infeasible to build. Index Terms— Quantum Computing Devices, High Performance Quantum Computers, Next Generation Computers, Qubits, Superposition, Entanglement, Reversible Quantum Gates, Shor's algorithm.