Multiple-copy two-state discrimination with individual measurements
Abstract
We address the problem of nonorthogonal two-state discrimination when multiple copies of the unknown state are available. We give the optimal strategy when only fixed individual measurements are allowed and show that its error probability saturates the collective (lower) bound asymptotically. We also give the optimal strategy when adaptivity of individual von Neumann measurements is allowed (which requires classical communication) and show that the corresponding error probability is exactly equal to the collective one for any number of copies. We show that this strategy can be regarded as Bayesian updating.
- Publication:
-
Physical Review A
- Pub Date:
- March 2005
- DOI:
- 10.1103/PhysRevA.71.032338
- arXiv:
- arXiv:quant-ph/0410097
- Bibcode:
- 2005PhRvA..71c2338A
- Keywords:
-
- 03.67.Hk;
- 03.65.Ta;
- Quantum communication;
- Foundations of quantum mechanics;
- measurement theory;
- Quantum Physics
- E-Print:
- 5 pages, RevTeX