English

Computable bounds for the discrimination of Gaussian states

Quantum Physics 2008-07-27 v2 Mathematical Physics math.MP Data Analysis, Statistics and Probability

Abstract

By combining the Minkowski inequality and the quantum Chernoff bound, we derive easy-to-compute upper bounds for the error probability affecting the optimal discrimination of Gaussian states. In particular, these bounds are useful when the Gaussian states are unitarily inequivalent, i.e., they differ in their symplectic invariants.

Keywords

Cite

@article{arxiv.0806.1625,
  title  = {Computable bounds for the discrimination of Gaussian states},
  author = {Stefano Pirandola and Seth Lloyd},
  journal= {arXiv preprint arXiv:0806.1625},
  year   = {2008}
}

Comments

8 pages, 1 figure. REVTeX