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
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
Abstract — Reversible logic is one of the most vital issue at present time and it has different areas for its application, those are low power CMOS, quantum computing, nanotechnology, cryptography, optical computing, DNA computing, digital signal processing (DSP), quantum dot cellular automata, communication, computer graphics. It is not possible to realize quantum computing without implementation of reversible logic. The main purposes of designing reversible logic are to decrease quantum cost, depth of the circuits and the number of garbage outputs. This paper provides the basic reversible logic gates, which in designing of more complex system having reversible 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. This paper presents the data relating to the primitive reversible gates which are available in literature and helps researches in designing higher complex computing circuits using reversible gates.
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
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.
Multiple-valued reversible logic is an emerging area in reversible and quantum logic circuit synthesis. Multiple-valued reversible logic circuits can potentially reduce the width of the reversible or quantum circuit which is a limitation in current quantum technology. In this paper we propose a method to synthesize the multiple-valued reversible sequential circuits. Implementations for ternary D and T flip flops and edge triggered D flip flop are proposed. Synthesis of generalized fanout circuit and generalized r-valued T flip flop are also presented.
Summary form only given, as follows. With the increasing emphasis on low-power design and quantum computation, research activities in the area of reversible logic synthesis and testing have gained momentum over the last couple of decades. It is expected that reversible logic will provide us with a viable alternative to building ultra-low power circuits and systems in not too distant future. In the classical works for synthesis of reversible circuits, gate libraries comprising of standard reversible gates like NOT, CNOT, TOFFOLI, FREDKIN, etc. are considered. To evaluate the goodness of a synthesized netlist, various metrics such as gate count, quantum cost, and equivalent transistor cost have been considered by various researchers. The synthesis approaches that have been reported can be broadly categorized into three groups: (a) exact synthesis approaches which try to obtain optimal reversible gate netlists, but can be used for small circuits only, (b) heuristic based approaches which try to utilize some domain knowledge intelligently to reduce the complexity of search, and can be used for somewhat larger circuits, and (c) synthesis approaches that rely on higher level functional representations like binary decision diagram (BDD) or exclusive sum-ofproducts (ESOP). The last approach is scalable to larger circuits (with 200 inputs or more), however, the synthesized netlist is not optimal and various rule-based heuristic approaches have been proposed to minimize the cost. There have been works also that report techniques for implementing sequential circuits with reversible properties, which will be useful for building complex systems containing finite-state machines. There are various transformations that are carried out as part of cryptographic algorithms that are inherently reversible in nature. For instance, any block cipher that uses a key K to transform a plaintext P into a ciphertext C during encryption must be reversible, because decryption will be doing just the reverse (C to P). Also, in standard symmetric block ciphers like DES or AES, there is a combinational block called substitution box or S-box which is also reversible in nature. In AES, the S-box has 8 inputs and 8 outputs, and implements a one-to-one onto mapping. The same reversibility requirements hold for stream ciphers and public-key ciphers like RSA. Although not much work has been carried out in the area of reversible implementations of cryptographic algorithms, this can be a very good area for future research. Similar considerations hold for various coding and decoding techniques used in communication, which are also inherently reversible in nature. Some examples of such coding/decoding are Manchester, Differential Manchester, Bipolar AMI, 4B/5B, 8B/10B, Hamming error correcting code, etc. All these techniques can potentially be implemented using reversible logic circuits. Specific case studies of some of the areas as mentioned will be reported, with synthesis results.
Reversible circuits play an important role in quantum computation. The realization of reversible quantum circuits is required for any quantum computer to be universal. This paper1studies the realization and synthesis problem of reversible circuits. Using group theory, we present two sets of new 3-bit reversible logic gates, which included g1g2g3and nine complex gates, respectively. It is shown that any 3-bit reversible logic circuit is realizable by cascading NOT and Feynman gates, and at most one instance of our proposed gates. Given any n-bit reversible function, there are N distinct input patterns different from their corresponding outputs, where N ≤ 2n, and the other (2n- N) input patterns will be the same as their outputs. According to a synthesis example, it demonstrates that the main results are constructive and practical than others.