Quantum search in a possible three-dimensional complex subspace

  • Authors:
  • Wenliang Jin

  • Affiliations:
  • School of Information Science and Technology, Southwest Jiaotong University, Chengdu, People's Republic of China 610031

  • Venue:
  • Quantum Information Processing
  • Year:
  • 2012

Quantified Score

Hi-index 0.00

Visualization

Abstract

Suppose we are given an unsorted database with N items and N is sufficiently large. By using a simpler approximate method, we re-derive the approximate formula cos2 驴, which represents the maximum success probability of Grover's algorithm corresponding to the case of identical rotation angles $${\phi=\theta}$$ for any fixed deflection angle $${\Phi \in\left[0,\pi/2\right)}$$ . We further show that for any fixed $${\Phi \in\left[0,\pi/2\right)}$$ , the case of identical rotation angles $${\phi=\theta}$$ is energetically favorable compared to the case $${\left|{\theta - \phi}\right|\gg 0}$$ for enhancing the probability of measuring a unique desired state.