Amplitude amplification of the marked states in quantum search simulation

  • Neris Sombillo National Institute of Physics, University of the Philippines Diliman
  • Ronald Banzon National Institute of Physics, University of the Philippines Diliman
  • Cristine Villagonzalo National Institute of Physics, University of the Philippines Diliman
Keywords: Quantum algorithm, Quantum computation, Spin chain model

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.

Published
2017-06-07
Section
Poster Session B (Complex Systems, Simulations, and Theoretical Physics)