Arithmetic Operations in DNA-Quantum Computing

Hafiz Md. Hasan Babu

Hafiz Md. Hasan Babu

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.

Weng-Long Chang, Athanasios V. Vasilakos, Michael Shan-Hui Ho

Here we show that arithmetical operations of complex vectors can be implemented by means of the proposed DNA-based algorithms.

Hafiz Md. Hasan Babu

Hafiz Md. Hasan Babu

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.

Hafiz Md. Hasan Babu