Sequential Circuits in Quantum Computing

Hafiz Md. Hasan Babu

Hafiz Md. Hasan Babu

D. -S. Wang

This work introduces and characterizes quantum sequential circuits (QSCs) as a hardware-oriented paradigm for quantum computing, built upon a novel foundational element termed the quantum transistor. Unlike conventional qubit-based architectures, QSCs employ symmetry-protected topological junctions where quantum gates are encoded as Choi states via channel-state duality and activated through bulk measurements, utilizing ebits to realize the functional analog of feedback loops in classical sequential circuits. This framework establishes a universal model for quantum computation that inherently incorporates memory and temporal sequencing, complementing existing combinational quantum circuit model. Our work advances the conceptual bridge towards a quantum von Neumann architecture, underscoring the potential of hybrid and modular design principles for the development of large-scale, integrated quantum information processors.

Saleem Mohammed Ridha Taha

Daniele Cuomo

Hafiz Md. Hasan Babu

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.