A Quantum Cellular Automata architecture with nearest neighbor interactions using one quantum gate type

TL;DR

This paper introduces a quantum cellular automata architecture that simplifies quantum computations by using only one gate type per step, focusing on nearest neighbor interactions to improve local control and reduce errors.

Contribution

It presents a novel quantum cellular automata model utilizing a single gate type for nearest neighbor interactions, enhancing local control and potentially reducing error rates.

Findings

Operations are performed locally and in a controlled manner

The model successfully implements the Quantum Fourier Transform

Reduced error rates in quantum computations

Abstract

We propose an architecture based on Quantum cellular Automata which allows the use of only one type of quantum gates per computational step in order to perform nearest neighbor interactions. The model is built in partial steps, each one of them analyzed using nearest neighbor interactions, starting with single qubit operations and continuing with two qubit ones. The effectiveness of the model is tested and valuated by developing a quantum circuit implementing the Quantum Fourier Transform. The important outcome of this validation was that the operations are performed in a local and controlled manner thus reducing the error rate of each computational step.