Title

Analysis of Electrostatic Simulation of Quantum Dot Cellular Automata

Faculty Sponsor

Doug Tougaw

College

Engineering

Discipline(s)

Quantum Computing, Physics, Computer Science, Computer Engineering

ORCID Identifier(s)

Dylan: 0000-0002-2935-4238; Spencer: 0000-0002-6156-1157

Presentation Type

Oral Presentation

Symposium Date

Spring 4-28-2022

Abstract

The simulation of Quantum-Dot Cellular Automata (QCA) has historically been a very difficult task because of the limited hardware resources that exist to verify our solutions. With that, the general approach to QCA simulation has typically been to account for the entire system Hamiltonian, or to do various approximations of the system that allow for faster simulation and increase the simulation capacity to be able to handle much larger circuits. In our work, we have used two approximations, ignoring the kinetic energy component of the Hamiltonian to determine the ground state exclusively from the potential energy curve and ignoring the strong and weak atomic forces that should be irrelevant to this problem at the distances we are dealing with. With these approximations in mind, we were able to develop a model for how QCA cells interact in all space and have developed multiple unique algorithmic approaches to solving QCA systems that are able to utilize this new model to accurately and efficiently determine the ground state for a QCA circuit.

Biographical Information about Author(s)

Dylan Grace is a computer engineering and physics double major at Valparaiso university. He has done research in electrostatic QCA simulation since late 2021, presenting at SOURCE 2021 on electrostatic kink analysis of QCA systems.

Spencer Gannon is a computer science and mathematics complementary major at Valparaiso University. He has done some research in COVID-19 opening policy simulations and has recently joined the QCA simulation research.

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