Analysis of Electrostatic Simulation of Quantum Dot Cellular Automata
Quantum Computing, Physics, Computer Science, Computer Engineering
Dylan: 0000-0002-2935-4238; Spencer: 0000-0002-6156-1157
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.
Grace, Dylan and Gannon, Spencer, "Analysis of Electrostatic Simulation of Quantum Dot Cellular Automata" (2022). Symposium on Undergraduate Research and Creative Expression (SOURCE). 1019.