Hypothesis testing for Gaussian states on bosonic lattices
Abstract
The asymptotic state discrimination problem with simple hypotheses is considered for a cubic lattice of bosons. A complete solution is provided for the problems of the Chernoff and the Hoeffding bounds and Stein's lemma in the case when both hypotheses are gauge-invariant Gaussian states with translation-invariant quasi-free parts.
- Publication:
-
Journal of Mathematical Physics
- Pub Date:
- March 2009
- DOI:
- arXiv:
- arXiv:0808.1450
- Bibcode:
- 2009JMP....50c2105M
- Keywords:
-
- 05.30.Jp;
- 05.50.+q;
- 05.40.-a;
- 02.50.Cw;
- Boson systems;
- Lattice theory and statistics;
- Fluctuation phenomena random processes noise and Brownian motion;
- Probability theory;
- Quantum Physics;
- Mathematical Physics
- E-Print:
- 22 pages, submitted version