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International Journal of Scientific Research in Computer Science Engineering and Information Technology

Implementation of Combinational and Sequential Logic Circuits using Quantum Computing

Neha M Harapanhalli, M Kavipriya, Ishwari Jigajinni, Keerti Kulkarni

Published Jun 1, 2023• 0 citations
Publisher

Abstract

Quantum computing is an area of computer science that uses the principles of quantum theory. Quantum computing is a booming field and could lead significant advances in various fields, from chemistry to material science to nuclear physics and machine learning. Quantum computing uses quantum bits as a fundamental building block of computations. The power of quantum bits is their ability to scale exponentially, which makes complex computations faster and efficient. The objective of this paper is to design Flip Flops and combinational logic circuits using quantum computing. Flip Flops and combinational circuits assist in complex computations with reduced delay, and high efficiency when designed using quantum computing. The flip flops and adders can henceforth be used in several applications.

DOI
10.32628/cseit23903106

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Quantum computing is an area of computer science that uses the principles of quantum theory. Quantum computing is a booming field and could lead significant advances in various fields, from chemistry to material science to nuclear physics and machine learning. Quantum computing uses quantum bits as a fundamental building block of computations. The power of quantum bits is their ability to scale exponentially, which makes complex computations faster and efficient. The objective of this paper is to design Flip Flops and combinational logic circuits using quantum computing. Flip Flops and combinational circuits assist in complex computations with reduced delay, and high efficiency when designed using quantum computing. The flip flops and adders can henceforth be used in several applications.
This paper provides the initial threshold to building of more complex system having reversible sequential circuits as a primitive component and which can execute more complicated operations using quantum computers. The reversible circuits form the basic building block of quantum computers as all quantum operations are reversible. The important reversible gates used for reversible logic synthesis are Feynman Gate, New Gate and Fredkin gate. The novelty of the paper is the reversible designs of Flip Flops. The Flip Flops that are synthesized using reversible logic are RS Flip Flop, JK Flip Flop, D Flip Flop, T Flip Flop and Master Slave Flip Flop
Quantum computing (Q-computing) is a revolutionary technology that applies quantum mechanics (QM) to implement calculations significantly quicker than traditional computers. Q-computing employs Q-bits (qubits) rather than classical bits, which can take on a superposition state, making it possible to represent both 0 and 1 at once. This distinctive property allows qubits to perform multiple calculations simultaneously, making Q computers exponentially more powerful as more qubits are added, compared to the linear scaling of classical computers. However, challenges such as qubit instability and error rates remain significant obstacles to fully realizing this potential. A vital aspect of this technology is the development of Q arithmetic circuits, which act as the foundational blocks for efficiently executing Q algorithms. Q half-adder and full-adder circuits are integral to performing fundamental arithmetic operations within Q computers. In contrast to classical adders, Q adders rely on Q gates such as Controlled NOT (CNOT) and Toffoli gates. These gates exploit Q phenomena like entanglement and superposition, allowing for more efficient computations. The Q half-adder consists of two qubits and adds two single bits, producing a carry and sum output. It utilizes the CNOT gate to compute the sum and the Toffoli gate (controlled-controlled-NOT [CCNOT]) to compute the carry. The Q full-adder builds on this, adding three qubits to produce a sum and a carry output, further increasing computational capacity. Through the entanglement of qubits, these circuits allow for more parallelism and speed compared to classical adders. Q carry-look-ahead adders (QCLAs) and Q ripple-carry adders (QRCAs) are used to perform more complex arithmetic operations based on these half-adder and full-adder structures. Q arithmetic circuits have broad applications, boosting secure key generation in cryptography, speeding up matrix operations for faster model training in machine learning, and enabling more precise, efficient image transformations in Q image processing, benefiting fields like medical imaging and computer vision.
Recent advancements in computing speed and capacity of Artificial Intelligence (AI) algorithms have reached a saturation level in performance due to the continuous application of Moore's law which resulted in the memory wall phenomenon. Quantum computing (QC), based on the principles of quantum mechanics which include superposition and entanglement, has the potential to contribute to the advancements of AI by providing exponential speedup. Quantum computers use quantum bits, also known as qubits, as the metric to demonstrate the power of quantum technology. Qubits, the fundamental unit of quantum information can exist in two states, 0 and 1, simultaneously, leveraging the principle of superposition. Quantum gates are the building blocks of quantum circuits, operating on qubits to transform one quantum state into another, and are comparative to classical logic gates. Designing and simulating quantum circuits can be completed using the Qiskit library design by IBM. Qiskit is a cloud-based, open access platform to real quantum computers with 5 to 16 qubits. This paper offers a straightforward tutorial on implementing one, two and three-qubit quantum gates, as well as designing quantum circuits using the Qiskit library, illustrated with an example of a quantum half adder implementation.
Superposition, entanglement, and interference are used in quantum computing to solve issues that cannot be solved by traditional computation. Qubits, in contrast to conventional bits, can exist in several states, allowing for exponential parallelism. Its revolutionary impact is demonstrated by quantum gates and algorithms, such as Grover's for search and Shor's for factorization. There are issues with error correction, scalability, and coherence in all of the physical platforms that have been established, such as spin-based qubits, photonic systems, trapped ions, and superconducting circuits. Progress is accelerated by developments in cloud-based services and hybrid quantum-classical computing. Numerous fields, including artificial intelligence, optimization, drug development, and cryptography, can benefit greatly from quantum computing. Classical encryption is under danger from quantum algorithms, which is why quantum-resistant protocols are being developed. Quantum simulation transforms molecular modeling in chemistry and materials science, supporting energy and medical research. Data analysis and pattern recognition are further advanced by quantum-enhanced machine learning. Although still in its infancy, qubit scalability and error correction research is propelling advancements. Quantum computing is still a major area of research and development because of its potential to revolutionize computation and lead to ground-breaking developments in a variety of domains.
Quantum computing, a revolutionary paradigm shift in computation, leverages the principles of quantum mechanics to perform tasks beyond the capabilities of classical computers. By harnessing the power of quantum bits (qubits), which can exist in superpositions of states and exhibit entanglement, quantum computers offer the potential to revolutionize fields such as chemistry, materials science, cryptography, and artificial intelligence. This paper delves into the fundamental concepts of quantum computing, including superposition, entanglement, and quantum gates. We explore the development of quantum hardware, encompassing various technologies like superconducting qubits, ion traps, and photonic qubits. Additionally, we discuss the limitations and challenges faced in building scalable and error-corrected quantum computers, such as decoherence and noise. The potential applications of quantum computing are vast and far-reaching. In the realm of quantum chemistry and materials science, quantum computers can simulate complex molecular systems, enabling the design of novel materials and drugs. In the field of cryptography, quantum computers pose a significant threat to classical cryptographic algorithms, necessitating the development of quantum-resistant cryptographic techniques. Furthermore, quantum machine learning holds the promise of accelerating AI advancements by enabling the development of powerful quantum algorithms.
Abstract: Reversible logic is one of the most important issues at the moment and has a wide range of applications, such as low power CMOS, quantum computing, nanotechnol- ogy, cryptography, optical computing, DNA computing, and -digital signal processing (DSP), quantum Dot automata for mobile, communication, computer graphics. It is not possible to detect quantum computing without the implementation of a postponed brain operation. The main objectives of design are logical thinking to reduce quantum costs, circuit depths and the amount of waste disposal. This paper provides basic logical retrospective gates, which in the construction of a highly sophisticated system with retractable circuits as part of the old and unable to perform the most complex operations using quantum computers. Reversible circuits form the basic building block of quantum computers as all quantum functions are reversed. This paper presents data related to older retractable gates found in books and assists research in the design of complex computer circuits using retractable gates. Keywords: Defendable Logic, Portable Gate, Dismissal, Trash, Quantum Cost, Quantum-dot Cellular Automata, Reversible Computing, Reversible ALU, Flip Flop using Reversible Gates, Reversible Adder