Quantum Institute: Visitor Schedule

The Quantum Lunch is regularly held on Thursdays in the Theoretical Division Conference Room, TA-3, Building 123, Room 121.
For more information, contact Diego Dalvit.
To add your name to the Quantum Lunch email list, contact Ellie Vigil

Wednesday, December 1, 2010
2:30 PM - 3:30 PM

Speaker: Cesar Rodriguez-Rosario (Harvard University)

Technical Host: Wojciech Zurek

TOPIC: Not-Completely Positive Maps and Quantum Discord

Abstract
We expand the set of initial states of a system and its environment that are known to guarantee completely positive reduced dynamics for the system when the combined state evolves unitarily. We characterize the correlations in the initial state in terms of its quantum discord. We prove that initial states that have only classical correlations lead to completely positive reduced dynamics. The induced maps can be not completely positive when quantum correlations including, but not limited to, entanglement are present. We also construct a non-Markovian canonical dynamical map that accounts for systems correlated with the environment. The relationship between inverse maps and correlations with the environment is established. The physical meaning of not completely positive maps is studied to obtain a theory of non-Markovian quantum dynamics..