Calculating Hamming Distance with the IBM Q Experience

José Manuel Bravo

doi:10.20944/preprints201804.0164.v1

Preprint Article Version 1 This version is not peer-reviewed

Version 1 : Received: 11 April 2018 / Approved: 12 April 2018 / Online: 12 April 2018 (09:37:53 CEST)
Version 2 : Received: 15 April 2018 / Approved: 16 April 2018 / Online: 16 April 2018 (08:12:56 CEST)

In this brief paper a quantum algorithm to calculate the Hamming distance of two binary strings of equal length (or messages in theory information) is presented. The algorithm calculates the Hamming weight of two binary strings in one query of an oracle. To calculate the hamming distance of these two strings we only have to calculate the Hamming weight of the xor operation of both strings. To test the algorithms the quantum computer prototype that IBM has given open access to on the cloud has been used to test the results.

quantum algorithm; Hamming weight; Hamming distance

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Calculating Hamming Distance with the IBM Q Experience

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