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IEEE Annual Computing and Communication Workshop and Conference (CCWC)

Implementation of Reversible Logic Gates with Quantum Gates

Swathi Mummadi, Bhawana Rudra

Published Jan 27, 2021• 57 citations
Publisher

Abstract

Quantum is an emerging technology in future computers. Reversibility is the main advantage of quantum computers. In conventional computers, the computation is irreversible i.e. the input bits are lost once the logic block generates the output and input bits cannot be restored but it can be done in reversible computation because in reversible computation the inputs and outputs have a one-to-one correspondence. Therefore, a reversible gate input could even be uniquely determined from their output which leads to less power consumption. Hence the complexity of the digital circuits can be reduced by using reversible computing. In quantum computer to perform reversible operations, we need to implement the reversible gates using quantum gates. In this paper, we discussed various reversible logic gates like Feynman, Toffoli, R, Peres and TR gates using basic quantum gates like CNOT, Pauli, Swap gates and their implementation using IBM quantum experience.

DOI
10.1109/ccwc51732.2021.9376060

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Quantum is an emerging technology in future computers. Reversibility is the main advantage of quantum computers. In conventional computers, the computation is irreversible i.e. the input bits are lost once the logic block generates the output and input bits cannot be restored but it can be done in reversible computation because in reversible computation the inputs and outputs have a one-to-one correspondence. Therefore, a reversible gate input could even be uniquely determined from their output which leads to less power consumption. Hence the complexity of the digital circuits can be reduced by using reversible computing. In quantum computer to perform reversible operations, we need to implement the reversible gates using quantum gates. In this paper, we discussed various reversible logic gates like Feynman, Toffoli, R, Peres and TR gates using basic quantum gates like CNOT, Pauli, Swap gates and their implementation using IBM quantum experience.
In recent years, reversible logic circuits have applications in the emerging field of digital signal processing, optical information processing, quantum computing and nano technology. Reversibility plays an important role when computations with minimal energy dissipation are considered. The main purpose of designing reversible logic is to decrease the number of reversible gates, garbage outputs, constant inputs, quantum cost, area, power, delay and hardware complexity of the reversible circuits. This paper reveals a comparative review on various reversible logic gates. This paper provides some reversible logic gates, which can be used in designing more complex systems having reversible circuits and can execute more complicated operations using quantum computers. Future digital technology will use reversible logic gates in order to reduce the power consumption and propagation delay as it effectively provides negligible loss of information in the circuit. Keywords: Garbage output, Power dissipation, quantum cost, Reversible Gate, Reversible logic,
At present days , reversible logic circuits have many applications in the field of optical information processing, digital signal processing , nano technology and quantum computing . Reversible logic plays an important role when computations with minimum energy dissipation are considered. The purpose of designing reversible logic is to decrease the number of area, power, garbage outputs , constant inputs, quantum cost, reversible gates, delay and hardware complexity . This paper reveals a review on some reversible logic gates, which is useful in designing more complex systems having reversible circuits and can do execution of more complex operations using quantum computers. In upcoming days digital technology will be using reversible logic gates in order to reduce the propagation delay and power consumption as it provides negligible loss of information in the circuit. Keywords: Reversible Gate, Garbage output, quantum cost, Reversible logic, Power dissipation
Reversible logic is a circuit which has the ability to reduce the power dissipation. This type of logic circuit is used for the process of running the system both forward and backward.One of the main advantages of using any reversible logic is to get back the original data and to reduce the garbage output. Logic synthesis based on the Kronecker Functional Decision Diagram (KFDD) are generated for different reversible cascade methods both complemented and uncomplemented edge by using different reversible gates such as the CNOT (Controlled NOT), NOT, Toffoli gates, Peres gates, etc., and implemented in a quantum processor. In order to reduce the qubits which in turn reduces the quantum cost, it is implemented using reversible logic synthesis in KFDD method.The proposed method shows the implementation of these reversible circuits in an IBM quantum computer to find the probabilities, as it gives less quantum cost and also consumes less time when compared to other decision diagram. Reversible logic finds a wide range of applications in quantum computing and also in areas which deals with the low power design.This paper presents the implementation of KFDD using quantum circuits in IBM Quantum (IBM-Q) processor using different reversible logics and the output is discussed.
Abstract Reversible gates have been one of the emerging research areas in these days. The reversible gates have several applications in the fields of low power CMOS, DNA computing, optical, nanotechnology etc. Quantum computing is one of the fastest and upcoming nanotechnologies that can implement the digital logical circuits using reversible logic gates. In this paper, CNOT, TOFFOLI, FREDKIN and PERES reversible logic gates have been implemented on IBM quantum computer. An efficient one-bit full adder is going to be proposed using the reversible gates like CNOT and TOFFOLI. Later, a 4x4 multiplier will be developed using the proposed one-bit full adder. The proposed multiplier is proved to perform faster calculations compared to the earlier multipliers. The simulation of the presented modules will be done on IBM Quantum computer and the respective probabilities can be observed for different inputs.
Reversible logic is introduced to overcome the problem of heat dissipation in conventional systems i.e using AND and OR gates.Quantum computing is one of the major and emerging applications of reversible logic.In conventional computers there are two states either ‘1’ or ‘0’ but quantum computing which is devolping based on the quantum theory where ‘0’ and ‘1’are used simultaneously . Reversible logic gates are designed using reversible logic.Reversible logic gates are the gates that have same number of inputs and outputs and have one-to-one mapping between input and output lines.Based on this reversible logic we have designed a reversible division circuit since division is one of the main building block in ALU and has crucial role in digital signal processing.The proposed design have reduced the hardware complexity of 24s+48δ when compared to the existing designs in reversible logic.
Reversible logic, also known as information lossless logic, is a promising technology that allows embedded data within circuits to be retrieved in case of failure.This study explores the use of reversible gates, such as Feynman gates, Toffoli gates, Fredkin gates, Peres gates, Double Feynman gates, NFT gates, DKG gates, and DFT gates, to construct logic circuits.These reversible logic gates can be effectively used for the implementation of any higher logic circuits-based applications.In the proposed paper the Arithmetic logic unit based on reversible logic hates is implemented in Verilog as well as IBM quantum software.The major applications of reversible logic gates include quantum computing, low power circuits, nano and CMOS technologies, photonics.In the last part of the paper the circuits implemented using Verilog and IBM quantum a chip level design using Cadance layout is implemented.