English

Iterative phase estimation

Quantum Physics 2010-01-22 v2

Abstract

We give an iterative algorithm for phase estimation of a parameter theta, which is within a logarithmic factor of the Heisenberg limit. Unlike other methods, we do not need any entanglement or an extra rotation gate which can perform arbitrary rotations with almost perfect accuracy: only a single copy of the unitary channel and basic measurements are needed. Simulations show that the algorithm is successful. We also look at iterative phase estimation when depolarizing noise is present. It is seen that the algorithm is still successful provided the number of iterative stages is below a certain threshold.

Keywords

Cite

@article{arxiv.0904.3426,
  title  = {Iterative phase estimation},
  author = {Caleb J O'Loan},
  journal= {arXiv preprint arXiv:0904.3426},
  year   = {2010}
}

Comments

Published version. Some inequalities strengthend

R2 v1 2026-06-21T12:53:55.870Z