Measuring Hamming Distance between Boolean Functions via Entanglement Measure

Khaled El-Wazan

Measuring Hamming Distance between Boolean Functions via Entanglement Measure

Quantum Physics 2019-03-13 v1

Authors: Khaled El-Wazan

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.

Keywords

quantum entanglement

Cite

@article{arxiv.1903.04762,
  title  = {Measuring Hamming Distance between Boolean Functions via Entanglement Measure},
  author = {Khaled El-Wazan},
  journal= {arXiv preprint arXiv:1903.04762},
  year   = {2019}
}

Comments

12 pages, 6 figures, Preliminary draft

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