Quantum Algorithm of Evolutionary Analysis of 1D Cellular Automata
B. Pavlyshenko
TL;DR
This paper introduces a quantum algorithm leveraging Grover's algorithm principles to analyze 1D cellular automata, utilizing ancilla registers and quantum Toffoli gates for state inversion.
Contribution
It presents a novel quantum algorithm for analyzing cellular automata states, combining Grover's algorithm elements with quantum gates for improved efficiency.
Findings
Quantum algorithm can simulate irreversible cellular automata.
Uses quantum Toffoli gate for amplitude inversion.
Potential for faster cellular automata analysis.
Abstract
It is shown that irreversible classical cellular automata can be performed by quantum algorithm using additional ancilla registers. The algorithm for cellular automata states analysis has been proposed. This algorithm is based on the elements of Grover's algorithm - the inversion of amplitude of searched states and unitary transform of inversion about the average. The inversion of searched states amplitudes can be performed by quantum Toffoli gate.
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Taxonomy
TopicsCellular Automata and Applications · Computability, Logic, AI Algorithms · Quantum-Dot Cellular Automata