Coherence dynamics in Simon's quantum algorithm

2026/04/17 by Linlin Ye, Zhaoqi Wu, Shao-Ming Fei · 1 voice
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1209/0295-5075/acfdc8

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 l_1,p norm. We prove that the coherences 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 the Simon's quantum algorithm and prove that in overall the coherence is in production when N>4 and in depletion when N<4.

Citations

• Quantum Computation and Quantum Information

Discussions

• Coherence dynamics in Simon's quantum algorithm This research provides crucial insights into how quantum coherence behaves during Simon's algorithm, one of the foundational quantum algorithms that dem [bsky, 1 points, 0 comments]

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