Optimal sequence of POVMs in the sense of Stein's lemma in quantum hypothesis testing
Abstract
In this paper, we give another proof of quantum Stein's lemma by calculating the information spectrum, and study an asymptotic optimal measurement in the sense of Stein's lemma. We propose a projection measurement characterized by the irreducible representation theory of the special linear group SL(H). Specially, in spin 1/2 system, it is realized by a simultaneous measurement of the total momentum and a momentum of a specified direction.
- Publication:
-
arXiv e-prints
- Pub Date:
- July 2001
- DOI:
- 10.48550/arXiv.quant-ph/0107004
- arXiv:
- arXiv:quant-ph/0107004
- Bibcode:
- 2001quant.ph..7004H
- Keywords:
-
- Quantum Physics
- E-Print:
- LaTeX 12 pages The previous version has some typographic errors