Quantum Lunch Location:
T-Division Conference Room, TA-3,
Building 123, Room 121
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.
July 27, 2006
University of Southern California
Adiabaticity in open quantum systems: theory and applications to adiabatic quantum computation and geometric phases
The adiabatic approximation is an 80+ year old pillar of quantum
mechanics, which has found rich applications in a variety of physics
and chemistry problems. However, in its original formulation the
adiabatic theorem was derived in the context of closed quantum
systems, described by unitary dynamics. We have recently introduced a
generalization of the the adiabatic theorem to open quantum systems
described by convolutionless master equations . This version of the
adiabatic theorem is naturally suited to problems in quantum
information theory, and we describe applications to the adiabatic
quantum computing paradigm , and to the problem of geometric phases
(both Abelian and non-Abelian) in open quantum systems undergoing
cyclic adiabatic evolution . One our main findings is that, in
general, adiabaticity in an open quantum system depends on two
competing timescales: the speed of the driving field and the
decoherence due to the interaction with the environment. These
timescales generically determine a finite interval for
adiabaticity. This has implications for both adiabatic quantum
computing and the robustness of geometric phases to decoherence.
Joint work with Dr. Marcelo Sarandy.
-  Adiabatic Approximation in Open Quantum Systems, M.S. Sarandy and D.A. Lidar, Phys. Rev. A 71, 012331 (2005).
-  Adiabatic Quantum Computation in Open Systems, M.S. Sarandy and D.A. Lidar, Phys. Rev. Lett. 95, 250503 (2005).
-  Abelian and Non-Abelian Geometric Phases in Adiabatic Open Quantum Systems, M.S. Sarandy and D.A. Lidar, Phys. Rev. A 73, 062101 (2006).