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CRC Press eBooks

Multiple-Valued Programmable Logic Devices in Quantum Computing

Hafiz Md. Hasan Babu

Published Aug 29, 2023• 0 citations
Publisher

Abstract

In quantum computing, it is known that the devices that perform quantum computations are known as quantum computers. This chapter describes the multiple-valued programmable logic devices in quantum computing. There are hundreds of similar logic blocks available onto the multi-valued Quantum Field Programmable Gate Array (FPGA) connected via routing resources. A multi-valued Quantum functional block (FB) is the basic repeating logic block on a multi-valued Quantum CPLD. Further, the switch matrix in a multi-valued Quantum CPLD may or may not be fully connected. The complexity of a typical PAL device is around a few hundred logic gates whereas the complexity of multi-valued Quantum CPLD is around tens of thousands of logic gates. Further, due to low power consumption and low cost, multi-valued Quantum CPLDs are mostly used for battery-operated portable applications such as mobile phones, digital assistants, etc. Multi-Valued quantum CPLD functional block is designed by connecting Flip-Flops, Logic function and Multiplexers.

DOI
10.1201/9781003381921-9

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CRC Press eBooks•Aug 29, 2023•0 citations
In quantum computing, it is known that the devices that perform quantum computations are known as quantum computers. This chapter describes the multiple-valued programmable logic devices in quantum computing. There are hundreds of similar logic blocks available onto the multi-valued Quantum Field Programmable Gate Array (FPGA) connected via routing resources. A multi-valued Quantum functional block (FB) is the basic repeating logic block on a multi-valued Quantum CPLD. Further, the switch matrix in a multi-valued Quantum CPLD may or may not be fully connected. The complexity of a typical PAL device is around a few hundred logic gates whereas the complexity of multi-valued Quantum CPLD is around tens of thousands of logic gates. Further, due to low power consumption and low cost, multi-valued Quantum CPLDs are mostly used for battery-operated portable applications such as mobile phones, digital assistants, etc. Multi-Valued quantum CPLD functional block is designed by connecting Flip-Flops, Logic function and Multiplexers.
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This book mainly focuses on the design methodologies of various quantum circuits, DNA circuits, DNA-quantum circuits, and quantum-DNA circuits. In this text, the author has compiled various design aspects of multiple-valued logic DNA-quantum and quantum-DNA sequential circuits, memory devices, programmable logic devices, and nanoprocessors. Multiple-Valued Computing in Quantum Molecular Biology: Sequential Circuits, Memory Devices, Programmable Logic Devices, and Nanoprocessors is Volume 2 of a two-volume set, and consists of four parts. This book presents various design aspects of multiple-valued logic DNA-quantum and quantum-DNA sequential circuits, memory devices, programmable logic devices, and nanoprocessors. Part I discusses multiple-valued quantum and DNA sequential circuits such as D flip-flop, SR latch, SR flip-flop, JK flip-flop, T flip-flop, shift register, ripple counter, and synchronous counter, which are described, respectively, with the applications and working procedures. After that, multiple-valued quantum-DNA and DNA-quantum sequential circuits such as D flip-flop, SR flip-flop, JK flip-flop, T flip-flop, shift register, ripple counter and synchronous counter circuits are explained with working procedures and architecture. Part II discusses the architecture and design procedure of memory devices such as random access memory (RAM), read-only memory (ROM), programmable read-only memory (PROM), and cache memory, which are sequentially described in multiple-valued quantum, DNA, quantum-DNA, and DNA-quantum computing. In Part III, the author examines the architectures and working principles of programmable logic devices such as programmable logic array (PLA), programmable array logic (PAL), field programmable gate array (FPGA), and complex programmable logic device (CPLD) in multiple-valued quantum, DNA, quantum-DNA, and DNA-quantum computing. Multiple-valued quantum, DNA, quantum-DNA, and DNA-quantum nanoprocessors are designed with algorithms in Part IV. Furthermore, the basic components of ternary nanoprocessors such as T-RAM, ternary instruction register, ternary incrementor circuit, ternary decoder, ternary multiplexer, ternary accumulator in quantum, DNA, quantum-DNA, and DNA-quantum computing are also explained in detail. This book will be of great help to researchers and students in quantum computing, DNA computing, quantum-DNA computing, and DNA-quantum computing.
Quantum computing is a new and challenging field in research and arithmetic circuits in multi-valued quantum computing are a recent attraction for all. It is a speedy technology in modern science. Multiple-valued logic circuits are a type of circuit that offer several potential opportunities for the improvement of present VLSI circuit designs. Multiple-valued logic has a wide range of applications in addition to providing a better understanding of binary difficulties. They can be divided into two categories. To handle binary issues more quickly, the first group use a multiple-valued logic domain. The second group focuses on electrical circuits that use more than two discrete levels of signals, such as multiple-valued memory, arithmetic circuits, and Field Programmable Gate Arrays. In quantum multiple valued parallel adder, it is required to add two qutrits (the addend and the augend) which are only single-qutrit input. The procedures are the same, the only difference is the logical operation will be in the ternary system.
Quantum computing harnesses the phenomena of quantum mechanics to deliver a huge leap forward in computation to solve certain problems. IBM designed quantum computers to solve complex problems that today's most powerful supercomputers cannot solve, and never will. RAM consists of three basic components- Decoder, Molecular qubit Cells, and OR gates. In a Ternary Quantum OR operation, using two inputs and one output is obtained. The higher logical sequence value from the input sequences is considered as the output of Ternary quantum OR operations and when the input sequences have the same logical value then one of them is considered as the output. Multi-Valued Quantum computing has the features of parallel processing and fast processing capabilities that make it special from other conventional computing systems. Since the PROM architecture reaches its limits when many inputs are linked to many outputs, the Programmable Logic Device architecture, provides a more flexible concept.
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.