Measuring Hamming Distance between Boolean Functions via Entanglement Measure
arXiv:1903.04762
Abstract
In this paper, we present a fast quantum algorithm to measure the Hamming distance between two or more Boolean functions provided as black-boxes. The proposed algorithm constructs a new black-box with a certain property which is utilized to solve this problem. The introduced algorithm converts measuring the Hamming distance between Boolean functions to measuring entanglement between qubits, using concurrence entanglement measure.
12 pages, 6 figures, Preliminary draft