# Amplitude amplification of the marked states in quantum search simulation

### Abstract

Yoder et al. [1] proposed a quantum search algorithm that prevents the system to move away from the marked states when the number of target states *M* is unknown. This method uses a recursive approach that makes the target state act as a fixed-point. We simulate the algorithm in an Ising spin chain with first- and second-nearest neighbor interaction. Our method involves a selective phase-shift rotation per iteration to obtain the target state. We find the probability of success for the fixed-point implementation to fluctuate only about a limited range of values within an indicated tolerance as compared to the large oscillations of the same for Grover's non-fixed-point algorithm.

*Proceedings of the Samahang Pisika ng Pilipinas*

**35**, SPP-2017-PB-17 (2017). URL: https://paperview.spp-online.org/proceedings/article/view/142.