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Noisy Effect on Nonlinear Quantum Search Algorithm
Author(s) -
Tchapet Njafa JeanPierre,
Nana Engo Serge Guy
Publication year - 2021
Publication title -
fortschritte der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.469
H-Index - 71
eISSN - 1521-3978
pISSN - 0015-8208
DOI - 10.1002/prop.202000049
Subject(s) - algorithm , qubit , quantum algorithm , quantum error correction , noise (video) , quantum gate , quantum , nonlinear system , computer science , quantum channel , quantum computer , quantum circuit , channel (broadcasting) , quantum phase estimation algorithm , quantum information , physics , quantum mechanics , telecommunications , artificial intelligence , image (mathematics)
In this paper, we investigate the effects of three single‐qubit quantum noise channels on the quantum nonlinear search algorithm proposed by Abrams and Lloyd. We focus on the gates of the nonlinear part of the algorithm and consider the case where the quantum noise channel only affects the qubit on which the gate is proceeding. Assuming that quantum noise effects occur after using the gates of the nonlinear part of the algorithm, we find that the quantum nonlinear search algorithm appears to be very resilient to the quantum noise when the desired state does not exist in the first register and is subject to the phase damping channel or the depolarising channel.