Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

IEEE Computer Society Annual Symposium on VLSI

Analysis of Reversible Logic Based Sequential Computing Structures Using Quantum Mechanics Principles

Matthew A. Morrison, Nagarajan Ranganathan

Published Aug 1, 2012• 5 citations
Publisher

Abstract

Significant debate exists in the literature with regards to the permissibility of feedback in reversible computing nanotechnologies. Feedback allows for reuse of logical subroutines, which is a desired functionality of any computational device. Determining whether loop back is allowed is paramount to assessing the robustness of reversible logic in any quantum design. In this paper, the fundamental discoveries in entropy and quantum mechanics that serve as the foundations for reversible logic are reviewed. The fundamentals for implementation of reversibility in computing are shown. Then, definitions are presented for a sequential reversible logic structure. A sequential reversible logic structure is proven to have an identical number of feedback-dependent inputs and feedback-producing outputs, and new metrics for measuring the probability of each output state are presented. Using these metrics, the reversibility of each clock cycle of such a device is verified. Therefore, we demonstrate that any reversible logic structure with feedback is physically reversible.

DOI
10.1109/isvlsi.2012.60

Related papers

DESIGN AND OPTIMIZATION OF SINGLE AND MULTIPLE-LOOP REVERSIBLE AND QUANTUM FEEDBACK CIRCUITS

MAJID MOHAMMADI, Aliakbar Niknafs, Mohammad Eshghi +1 more

The majority of work in reversible logic circuits has been limited to combinational logic. Researchers are now beginning to suggest designs for sequential circuits. In this paper we propose a new method to design and optimize feedback reversible logic circuits and a specific group of quantum logic circuits based on the reversible state transition table and genetic algorithms (GA). To show the efficiency of the proposed method, some reversible sequential elements such as D and T flip-flops (FFs), with and without clock and reset, and edge triggered FFs are designed. We have also extended our method to multiple loop feedback circuits. The proposed circuits are highly optimized using a GA synthesis tool that allows don't care values. Some of the designs in this paper are presented in other papers; however, the comparisons show that the quantum cost and number of garbage inputs/outputs are reduced efficiently by our method.

Journal of Circuits Systems and Computers•May 1, 2012•8 citations

Behavioral model of integrated qubit gates for quantum reversible logic design

Matthew Lewandowski, Nagarajan Ranganathan, Matthew A. Morrison

Reversible logic is gaining significant consideration as the potential logic design style for implementation in modern nanotechnology and quantum computing with minimal impact on physical entropy. Recent advances in reversible logic allow schemes for computer architectures using improved quantum computer algorithms. We present a VHDL behavioral model for the design and simulation of the quantum interactions of qubits in theoretical reversible logic structures. Modeling IQ gates, as opposed to only Control-V gates or Toffoli gates, allows for a more robust model that more accurately reflects a theoretical reversible computing structure. This method is an extension to existing programming language and modeling method that allows for reversible logic structures to be designed, simulated, and verified. To the best of our knowledge, this is the first work in the behavioral model of integrated qubit gates.

IEEE Computer Society Annual Symposium on VLSI•Aug 1, 2013•10 citations

Tutorial T2: Reversible Logic: Fundamentals and Applications in Ultra-Low Power, Fault Testing and Emerging Nanotechnologies, and Challenges in Future

Himanshu Thapliyal, Nagarajan Ranganathan

Reversible logic is emerging as a promising computing paradigm with applications in ultralow power nanocomputing and emerging nanotechnologies such as quantum computing, quantum dot cellular automata (QCA), optical computing, etc. Reversible circuits are similar to conventional logic circuits except that they are built from reversible gates. In reversible gates, there is a unique, one-to-one mapping between the inputs and outputs, not the case with conventional logic. One of the primary motivations for adopting reversible logic lies in the fact that it can provide a logic design methodology for designing ultra-low power circuits beyond KTln2 limit for those emerging nanotechnologies in which the energy dissipated due to information destruction will be a significant factor of the overall heat dissipation. Further, logic circuits for quantum computers must be built from reversible logic components. Several important metrics need to be considered in the design of reversible circuits the importance of which needs to be discussed. Quantum computers of many qubits are extremely difficult to realize thus the number of qubits in the quantum circuits needs to be minimized. This sets the major objective of optimizing the number of ancilla inputs and the number of the garbage outputs in the reversible logic based quantum circuits. The constant input in the reversible quantum circuit is called the ancilla input, while the garbage output refers to the output which exists in the circuit just to maintain one-to-one mapping but is not a primary or a useful output. The reversible circuit has other important parameters of quantum cost and delay which need to be optimized.

International Conference on VLSI Design•Jan 1, 2012•5 citations

A Review on Reversible Logic Gates and their Implementation

Raghava Garipelly, P. Madhu Kiran, A. Santhosh Kumar

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.

•Jan 29, 2014•66 citations

Reversible Gates: A Paradigm Shift in Computing

Syed Farah Naz, Ambika Prasad Shah

The reversible gate has been one of the emerging research areas that ensure a continual process of innovation trends that explore and utilizes the resources. This review paper provides a comprehensive overview of reversible gates, including their fundamental principles, design methodologies, and various applications. It also analyzes the reversible gates, comparing them based on metrics such as Quantum Cost, Complexity, and other performance evaluation measures. The analysis of several reversible gates is presented in this paper and provides a comprehensive overview of reversible gates, encompassing their fundamental principles, design methodologies, and diverse applications. Reversible logic circuits allow for the production of both unique outputs and distinct input combinations. The majority of the findings about the reversible gates from previous research papers are discussed and contrasted. All the reversible gates that have been proposed till now are presented in tabular form and the parameters are discussed to help the researchers to find every detail related to the reversible gates. To highlight our understanding, we have ended most of the sections with questions. The inclusion of questions is likely intended to stimulate further discussion and promote a deeper understanding of the material presented in this paper. These questions can serve as prompts for readers to reflect on the content and potentially explore related research directions or areas of improvement.

IEEE Open Journal of Circuits and Systems•Jan 1, 2023•23 citations

Towards Reverse Engineering Reversible Logic

Samah Mohamed Saeed, Xiaotong Cui, Robert Wille +4 more

Reversible logic has two main properties. First, the number of inputs is equal to the number of outputs. Second, it implements a one-to-one mapping; i.e., one can reconstruct the inputs from the outputs. These properties enable its applications in building quantum computing architectures. In this paper, we study reverse engineering of reversible logic circuits, including reverse engineering of non-reversible functions embedded into reversible circuits. We propose the number of embeddings of non-reversible functions into a reversible circuit as the security metric for reverse engineering. We analyze the security benefits of automatic synthesis of reversible circuits. We use our proposed security metric to show that the functional synthesis approaches yield reversible circuits that are more resilient to reverse engineering than the structural synthesis approaches. Finally, we propose scrambling of the inputs and outputs of a reversible circuit to thwart reverse engineering.

arXiv:1704.08397•Apr 27, 2017•8 citations
Significant debate exists in the literature with regards to the permissibility of feedback in reversible computing nanotechnologies. Feedback allows for reuse of logical subroutines, which is a desired functionality of any computational device. Determining whether loop back is allowed is paramount to assessing the robustness of reversible logic in any quantum design. In this paper, the fundamental discoveries in entropy and quantum mechanics that serve as the foundations for reversible logic are reviewed. The fundamentals for implementation of reversibility in computing are shown. Then, definitions are presented for a sequential reversible logic structure. A sequential reversible logic structure is proven to have an identical number of feedback-dependent inputs and feedback-producing outputs, and new metrics for measuring the probability of each output state are presented. Using these metrics, the reversibility of each clock cycle of such a device is verified. Therefore, we demonstrate that any reversible logic structure with feedback is physically reversible.
The majority of work in reversible logic circuits has been limited to combinational logic. Researchers are now beginning to suggest designs for sequential circuits. In this paper we propose a new method to design and optimize feedback reversible logic circuits and a specific group of quantum logic circuits based on the reversible state transition table and genetic algorithms (GA). To show the efficiency of the proposed method, some reversible sequential elements such as D and T flip-flops (FFs), with and without clock and reset, and edge triggered FFs are designed. We have also extended our method to multiple loop feedback circuits. The proposed circuits are highly optimized using a GA synthesis tool that allows don't care values. Some of the designs in this paper are presented in other papers; however, the comparisons show that the quantum cost and number of garbage inputs/outputs are reduced efficiently by our method.
Reversible logic is gaining significant consideration as the potential logic design style for implementation in modern nanotechnology and quantum computing with minimal impact on physical entropy. Recent advances in reversible logic allow schemes for computer architectures using improved quantum computer algorithms. We present a VHDL behavioral model for the design and simulation of the quantum interactions of qubits in theoretical reversible logic structures. Modeling IQ gates, as opposed to only Control-V gates or Toffoli gates, allows for a more robust model that more accurately reflects a theoretical reversible computing structure. This method is an extension to existing programming language and modeling method that allows for reversible logic structures to be designed, simulated, and verified. To the best of our knowledge, this is the first work in the behavioral model of integrated qubit gates.
Reversible logic is emerging as a promising computing paradigm with applications in ultralow power nanocomputing and emerging nanotechnologies such as quantum computing, quantum dot cellular automata (QCA), optical computing, etc. Reversible circuits are similar to conventional logic circuits except that they are built from reversible gates. In reversible gates, there is a unique, one-to-one mapping between the inputs and outputs, not the case with conventional logic. One of the primary motivations for adopting reversible logic lies in the fact that it can provide a logic design methodology for designing ultra-low power circuits beyond KTln2 limit for those emerging nanotechnologies in which the energy dissipated due to information destruction will be a significant factor of the overall heat dissipation. Further, logic circuits for quantum computers must be built from reversible logic components. Several important metrics need to be considered in the design of reversible circuits the importance of which needs to be discussed. Quantum computers of many qubits are extremely difficult to realize thus the number of qubits in the quantum circuits needs to be minimized. This sets the major objective of optimizing the number of ancilla inputs and the number of the garbage outputs in the reversible logic based quantum circuits. The constant input in the reversible quantum circuit is called the ancilla input, while the garbage output refers to the output which exists in the circuit just to maintain one-to-one mapping but is not a primary or a useful output. The reversible circuit has other important parameters of quantum cost and delay which need to be optimized.
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.
The reversible gate has been one of the emerging research areas that ensure a continual process of innovation trends that explore and utilizes the resources. This review paper provides a comprehensive overview of reversible gates, including their fundamental principles, design methodologies, and various applications. It also analyzes the reversible gates, comparing them based on metrics such as Quantum Cost, Complexity, and other performance evaluation measures. The analysis of several reversible gates is presented in this paper and provides a comprehensive overview of reversible gates, encompassing their fundamental principles, design methodologies, and diverse applications. Reversible logic circuits allow for the production of both unique outputs and distinct input combinations. The majority of the findings about the reversible gates from previous research papers are discussed and contrasted. All the reversible gates that have been proposed till now are presented in tabular form and the parameters are discussed to help the researchers to find every detail related to the reversible gates. To highlight our understanding, we have ended most of the sections with questions. The inclusion of questions is likely intended to stimulate further discussion and promote a deeper understanding of the material presented in this paper. These questions can serve as prompts for readers to reflect on the content and potentially explore related research directions or areas of improvement.
Reversible logic has two main properties. First, the number of inputs is equal to the number of outputs. Second, it implements a one-to-one mapping; i.e., one can reconstruct the inputs from the outputs. These properties enable its applications in building quantum computing architectures. In this paper, we study reverse engineering of reversible logic circuits, including reverse engineering of non-reversible functions embedded into reversible circuits. We propose the number of embeddings of non-reversible functions into a reversible circuit as the security metric for reverse engineering. We analyze the security benefits of automatic synthesis of reversible circuits. We use our proposed security metric to show that the functional synthesis approaches yield reversible circuits that are more resilient to reverse engineering than the structural synthesis approaches. Finally, we propose scrambling of the inputs and outputs of a reversible circuit to thwart reverse engineering.