Abstract
Abstract
Quantum coherence plays a pivotal role in quantum algorithms. We study the coherence dynamics of the evolved states in Simon's quantum algorithm based on Tsallis relative α entropy and
norm. We prove that the coherence of the first register and the second register both rely on the dimension N of the state spaces of the n qubit systems, and increase with the increase of N. We show that the oracle operator O does not change the coherence. Moreover, we study the coherence dynamics in Simon's quantum algorithm and prove that overall the coherence is in production when
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and in depletion when
.
Funder
National Natural Science Foundation of China
Natural Science Foundation of Jiangxi Province
Beijing Municipal Natural Science Foundation
Subject
General Physics and Astronomy