English

Lowering Helstrom Bound with non-standard coherent states

Quantum Physics 2021-11-24 v1

Abstract

In quantum information processing, {using a receiver device to differentiate between two nonorthogonal states leads to a quantum error probability. The minimum possible error is} known as the Helstrom bound. In this work we study and compare quantum limits for states which generalize the Glauber-Sudarshan coherent states, like non-linear, Perelomov, Barut-Girardello, and (modified) Susskind-Glogower coherent states. For some of these, we show that the Helstrom bound can be significantly lowered and even vanish in specific regimes.

Keywords

Cite

@article{arxiv.2010.00171,
  title  = {Lowering Helstrom Bound with non-standard coherent states},
  author = {Evaldo M. F. Curado and Sofiane Faci and Jean-Pierre Gazeau and Diego Noguera},
  journal= {arXiv preprint arXiv:2010.00171},
  year   = {2021}
}

Comments

31 pages, 25 figures

R2 v1 2026-06-23T18:55:30.905Z