Quantum circuits design and simulation

George F. Viamontes, Igor L. Markov, John P. Hayes

Amlan Chakrabarti, Susmita Sur‐Kolay, Sudhindu Bikash Mandal

Abstract-Quantum theory of computation establishes that there are problems for which quantum algorithms are far more efficient than their classical counterpart. Advances in quantum computing have initiated the design of systems based on quantum logic gates. Quantum computer hardware being primarily available in research laboratories at present, it mandates the ability to design, develop and test quantum logic operations by simulation of quantum logic circuits on classical computers. In this paper, we have defined a programming model for the design of a quantum circuit simulator, which can simulate a given quantum circuit obeying the rules of quantum gate operations. The quantum gate operations on both pure and superposed quantum states are being done with the help of effective data structures. The proposed quantum circuit simulator also incorporates the simulation of quantum circuit error under the action of certain quantum faults.

Yu Wang, Yuanyuan Li

This paper presents the theoretical foundation and simulation process of transitioning from classical adders to quantum adders, establishing a robust teaching framework for digital circuit design. It delves into the principles of quantum bit superposition and quantum gate operations, as well as the design principles of quantum circuits. By utilizing the quantum circuit simulation software—Quantum Circuit Laboratory (QCLab), the simulation analysis of the quantum adder was conducted, validating the correctness of the quantum circuit design. This teaching approach not only strengthens students' capabilities in classical digital circuit design but also guides them to understand cutting-edge quantum technologies and quantum circuit design methodologies. Consequently, it further enhances students' ability to solve complex problems, laying a solid foundation for their future development.

Masahiro Fujita, Yusuke Kimura

Jincheng Zhang

This paper introduces an Adaptive Quantum Circuit Generation (AQCG) method that leverages quantum circuit properties to automatically generate suitable quantum circuits for complex system simulations. Traditional approaches often rely on manual design, limiting the potential for efficient simulation. Our method utilizes a dynamic adjustment strategy based on the system state, enabling automated circuit generation and improving simulation efficiency. The core of the innovation lies in exploiting quantum circuit's inherent adaptability. This paper presents a comprehensive overview of the proposed AQCG technique, detailing its design, implementation, and performance evaluation. We discuss the benefits of this approach, including reduced design time, improved circuit quality, and enhanced simulation capabilities.

Margareta Vamos