| Issue |
EPL
Volume 144, Number 1, October 2023
|
|
|---|---|---|
| Article Number | 18001 | |
| Number of page(s) | 5 | |
| Section | Quantum information | |
| DOI | https://doi.org/10.1209/0295-5075/acfdc8 | |
| Published online | 16 October 2023 | |
Coherence dynamics in Simon's quantum algorithm
1 Department of Mathematics, Nanchang University - Nanchang 330031, China
2 School of Mathematical Sciences, Capital Normal University - Beijing 100048, China
3 Max Planck Institute for Mathematics in the Sciences - 04103 Leipzig, Germany
(a) E-mail: wuzhaoqi_conquer@163.com (corresponding author)
Received: 5 July 2023
Accepted: 27 September 2023
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 
.
© 2023 EPLA
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