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CRC Press eBooks

Multiple-Valued Quantum-DNA Combinational Circuits

Hafiz Md. Hasan Babu

Published Aug 29, 2023• 0 citations
Publisher

Abstract

Quantum computers might be built directly from the physical properties of the DNA molecule. Multi-Valued logic enhances the advantages of this combination. The combination of this quantum computing and DNA computing is called quantum molecular biology. This chapter describes the combinational circuits in multi-valued quantum-DNA computing. A balanced multiplexer is an essential component of a digital system that converts multiple inputs to a single output. This circuit is useful for building multi-valued arithmetic circuits. Demultiplexer circuits are among the most important circuits in the design of complex hardware. It maps a single input to multiple outputs. The Multi-Valued Encoder is a combinational logic circuit with 3 n input lines and n output lines that functions as a multi-input and multi-output device. An encoder is a critical component of a digital computer. A Quantum-DNA decoder first performs some Quantum operation on its inputs, then proceeds to the DNA operations after converting the qubit to its corresponding DNA molecule.

DOI
10.1201/9781003381938-18

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CRC Press eBooks•Aug 29, 2023•0 citations
Quantum computers might be built directly from the physical properties of the DNA molecule. Multi-Valued logic enhances the advantages of this combination. The combination of this quantum computing and DNA computing is called quantum molecular biology. This chapter describes the combinational circuits in multi-valued quantum-DNA computing. A balanced multiplexer is an essential component of a digital system that converts multiple inputs to a single output. This circuit is useful for building multi-valued arithmetic circuits. Demultiplexer circuits are among the most important circuits in the design of complex hardware. It maps a single input to multiple outputs. The Multi-Valued Encoder is a combinational logic circuit with 3 n input lines and n output lines that functions as a multi-input and multi-output device. An encoder is a critical component of a digital computer. A Quantum-DNA decoder first performs some Quantum operation on its inputs, then proceeds to the DNA operations after converting the qubit to its corresponding DNA molecule.
Both DNA computing and quantum computing have the potential to outperform ordinary digital computers, but considerable technical hurdles must be overcome first. Because of their coherent superposition of states, quantum computers are more powerful than traditional turing machines. DNA computers can be evolved via biotechnology techniques. Combining DNA and quantum computers could capture both of these properties. With this in mind, this chapter is devoted to DNA-Quantum Computing, which combines two distinct technologies. It discusses multi-valued DNA-Quantum multiplexer, demultiplexer, encoder and decoder. A balanced multiplexer is an essential component of a digital system that converts multiple inputs to a single output. This circuit is useful for building multi-valued arithmetic circuits. Demultiplexer circuits are among the most important circuits in the design of complex hardware. It maps a single input to multiple outputs. The Multi-Valued Encoder is a combinational logic circuit with 3 n input lines and n output lines that functions as a multi-input and multi-output device.
This book focuses on the design methodologies of various quantum circuits, DNA circuits, DNA-quantum circuits and quantum-DNA circuits. It considers the merits and challenges of multivalued logic circuits in quantum, DNA, quantum-DNA and DNA-quantum computing. Multiple-Valued Computing in Quantum Molecular Biology: Arithmetic and Combinational Circuits is Volume 1 of a two-volume set. From fundamentals to advanced levels, this book discusses different multiple-valued logic DNA-quantum and quantum-DNA circuits. The text consists of four parts. Part I introduces multiple-valued quantum computing and DNA computing. It contains the basic understanding of multiple-valued quantum computing, multiple-valued DNA computing, multiple-valued quantum-DNA computing and multiple-valued DNA-quantum computing. Part II examines heat calculation, speed calculation, heat transfer, data conversion and data management in multi-valued quantum, DNA, quantum-DNA and DNA-quantum computing. Part III discusses multiple-valued logic operations in quantum and DNA computing such as ternary AND, NAND, OR, NOR, XOR, XNOR and multiple-valued arithmetic operations such as adder, multiplier, divider and more. Quantum-DNA and DNA-quantum multiple-valued arithmetic operations are also explained in this section. Part IV explains multiple-valued quantum and DNA combinational circuits such as multiple-valued DNA-quantum and quantum-DNA multiplexer, demultiplexer, encoder and decoder. This book will be of great help to researchers and students in quantum computing, DNA computing, quantum-DNA computing and DNA-quantum computing researchers.
Molecular biology is the field of science concerned with studying the chemical structures and processes of biological phenomena that involve the basic units of life and molecules. The field of molecular biology is focused especially on nucleic acids and proteins, these molecules interact and behave within cells. Molecular biology emerged in the 1930s. When quantum computing combines with this DNA computing to form a new computing process, it is quantum molecular biology. This chapter discusses another form of quantum molecular biology with multi-valued logic. It describes multi-valued arithmetic circuits in DNA-quantum circuits. The system was divided into four parts. The first part contained the DNA system, then a DNA cache memory where the DNA sequences were stored, then the data conversion unit to convert the DNA information into qubits, and the last part was the quantum system.
The combination of quantum computing and DNA computing is a new creation that is introduced in this book with multi-valued logic. This is actually the combination of quantum physics and molecular biology. So, it can be said that the combination is actually quantum molecular biology. In the multiple-valued logic system, the general organization of the Quantum-DNA cross-platform for the multiple-valued logic system is depicted. A Multi-Valued half adder is a type of adder or electronic circuit that performs ternary number addition. A Multiple-Valued Quantum-DNA full adder removes the drawback of a Multiple-Valued Quantum-DNA half adder as it includes carry bit in the addition operation. A ternary half subtractor is a type of subtractor, an electronic circuit that performs the subtractions of ternary numbers. Multi-Valued full subtractor performs subtraction operation taking borrow qubit in consideration, thus it solves the problem that half subtractor cannot overcome.
The qutrit is the information unit of a three-valued quantum system (ternary quantum system). One of the most vital block designs in a binary digital system is the multiplexer. It is a device that allows only one input signal from a group of input signals, and the input signal selected by the multiplexer is transmitted into a single medium. Multiplexers, in fact, help to improve the efficiency of the communication system. It enables the transmission of data such as audio, video, and so on from various channels via cables. This circuit is useful for creating multi-valued arithmetic circuits. Demultiplexer circuits are among the most important circuits in the design of complex hardware. It maps a single input to multiple outputs. Multi-Valued Quantum Encoder is a combinational logic circuit which acts as a multi inputs and multi outputs device as it has 3 n input lines and n output lines.
In order to create two new computing processes that can be referred to as quantum molecular biology, these two computing systems can be combined. Quantum-DNA computing and DNA-quantum computing are also components of this quantum molecular biology. This chapter explains how DNA computing constructs the operations for multi-valued systems. The study of molecular biology is concerned with nucleic acids and proteins–macromolecules that are critical to biological processes–and how they interact and behave within cells. Quantum molecular biology is the field of study that investigates processes in living organisms that cannot be accurately described by the classical laws of physics. So, quantum molecular biology is a kind of computing technology which can be quantum-DNA computing or DNA-quantum computing. It also presents the ternary logic in the DNA computing system, that means establishing basic gates and fundamental operations in the ternary system.