Quantum Gates, Quantum Circuit and Quantum Computation

Belal Ehsan Baaquie, L. C. Kwek

Paul Isaac Hagouel, Ioannis G. Karafyllidis

Quantum computing is a process that incorporates interacting physical systems that represent quantum bits and quantum gates. We present the quantum bit (qubit), the quantum register and the quantum gates. The qubit is described as a vector in a two-dimensional Hilbert space and the quantum register, which comprises a number of qubits, as a vector in a multidimensional Hilbert space. Quantum gates are Hilbert space operators that rotate the qubit or the quantum register vectors. Quantum computations are modeled and described using a quantum circuit model. We also present a quantum computer simulator based on the circuit model of quantum computation. In this model quantum computations and quantum algorithms are represented by circuits, which comprise quantum gates and quantum registers. The well-known Deutsch's algorithm is described and the corresponding quantum circuit is presented. Possible applications of quantum computers are be presented and discussed.

Gnanavardhan Koppolu, YBR. Krishna Vamshi, Sitadevi Bharatula +1 more

This research paper presents an innovative approach to combinational circuit design that integrates quantum and conventional computation methods. Unlike traditional circuits utilizing logic gates, this approach exploits quantum gates, with a particular focus on replacing the CCNOT gate with the CSWAP gate. The substitution is aimed at improving computation performance and accuracy in quantum circuits while reducing gate consumption. The study offers a systematic methodology for designing combinational circuits, emphasizing the translation of classical logic functions into their quantum counterparts. This provides valuable insights into the development of precise and efficient quantum combinational circuits, advancing discussions on the integration of quantum computing through strategic utilization of the CSWAP gate.

Saleem Mohammed Ridha Taha

Jordan Burns, Yih Sung, Colby Wight

Quantum computing is one of the most promising techniques for simulating physical systems that cannot be simulated on classical computers[1]. A significant drawback of this approach is the inherent difficulty in designing circuits that can represent these systems on quantum computers. Every quantum circuit is built out of small components called quantum gates. Each of these gates manipulate the quantum system in a specific way. When used in combination, a finite subset of these gates, the set of universal gates, can be used to construct any possible quantum circuit[2].

Wolfgang Scherer