English

Mixed state discrimination using optimal control

Quantum Physics 2009-12-04 v3

Abstract

We present theory and experiment for the task of discriminating two nonorthogonal states, given multiple copies. We implement several local measurement schemes, on both pure states and states mixed by depolarizing noise. We find that schemes which are optimal (or have optimal scaling) without noise perform worse with noise than simply repeating the optimal single-copy measurement. Applying optimal control theory, we derive the globally optimal local measurement strategy, which outperforms all other local schemes, and experimentally implement it for various levels of noise.

Keywords

Cite

@article{arxiv.0909.1572,
  title  = {Mixed state discrimination using optimal control},
  author = {B. L. Higgins and B. M. Booth and A. C. Doherty and S. D. Bartlett and H. M. Wiseman and G. J. Pryde},
  journal= {arXiv preprint arXiv:0909.1572},
  year   = {2009}
}

Comments

Corrected ref 1 date; 4 pages & 4 figures + 2 pages & 3 figures supplementary material

R2 v1 2026-06-21T13:44:06.882Z