@inproceedings {sombillo, title = {Amplitude amplification of the marked states in quantum search simulation}, booktitle = {Proceedings of the 35th Samahang Pisika ng Pilipinas Physics Conference}, year = {2017}, month = {7{\textendash}10 June 2017}, pages = {SPP-2017-PB-17}, address = {Cebu City, Philippines}, 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{\textquoteright}s non-fixed-point algorithm.}, url = {http://paperview.spp-online.org/proceedings/article/view/142}, author = {Neris Sombillo and Ronald Banzon and Cristine Villagonzalo} }