Investigations of Quantum Cellular Automata in a Two Dimensional Lattice
Posted by Dagwood EngelbergYiyang Gong
Abstract
Quantum Cellular Automata (QCA) is a feasible method of manipulating a system of qubits carrying quantum information, as the same operations are applied to the entire system. With the proper initial conditions and boundaries for a two dimensional lattice, the state of one qubit can be transported to another qubit on the lattice using QCA. Such a phenomenon represents the possibility of a communication channel between different positions on the lattice. Simulations of the two-dimensional lattice using the stabilizer formalism with proper initial and boundary conditions are demonstrated. Furthermore, various errors on the gates of the system are simulated, and error probabilities on the final results are reported. Finally, encoding schemes using qubit arrays are also investigated.
Pertaining to: Boundary Conditions, Computation, Initial Conditions, Systems
