Entropic uncertainty relations and entanglement
Abstract
We discuss the relationship between entropic uncertainty relations and entanglement. We present two methods for deriving separability criteria in terms of entropic uncertainty relations. In particular, we show how any entropic uncertainty relation on one part of the system results in a separability condition on the composite system. We investigate the resulting criteria using the Tsallis entropy for two and three qubits.
- Publication:
-
Physical Review A
- Pub Date:
- August 2004
- DOI:
- 10.1103/PhysRevA.70.022316
- arXiv:
- arXiv:quant-ph/0403219
- Bibcode:
- 2004PhRvA..70b2316G
- Keywords:
-
- 03.67.Mn;
- 03.65.Ud;
- 03.65.Ta;
- Entanglement production characterization and manipulation;
- Entanglement and quantum nonlocality;
- Foundations of quantum mechanics;
- measurement theory;
- Quantum Physics
- E-Print:
- 8 pages, 3 figures, v2: small changes