Coherence dynamics in Simon's quantum algorithm

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 and in depletion when .