Geometric phase as a determinant of a qubit--environment coupling

Details Geometric phase as a determinant of a qubit--environment coupling Geometric phase as a determinant of a qubit--environment coupling

2010-04-20

arxiv.org/abs/1004.3432v1

Quantum Information Processing 10, 85 (2011)

Physics

Quantum Physics

accepted for publication in Quantum Information Processing

Scientific paper

We investigate the qubit geometric phase and its properties in dependence on the mechanism for decoherence of a qubit weakly coupled to its environment. We consider two sources of decoherence: dephasing coupling (without exchange of energy with environment) and dissipative coupling (with exchange of energy). Reduced dynamics of the qubit is studied in terms of the rigorous Davies Markovian quantum master equation, both at zero and non--zero temperature. For pure dephasing coupling, the geometric phase varies monotonically with respect to the polar angle (in the Bloch sphere representation) parameterizing an initial state of the qubit. Moreover, it is antisymmetric about some points on the geometric phase-polar angle plane. This is in distinct contrast to the case of dissipative coupling for which the variation of the geometric phase with respect to the polar angle typically is non-monotonic, displaying local extrema and is not antisymmetric. Sensitivity of the geometric phase to details of the decoherence source can make it a tool for testing the nature of the qubit--environment interaction.

Affiliated with

Also associated with

No associations

Rating

Geometric phase as a determinant of a qubit--environment coupling does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Geometric phase as a determinant of a qubit--environment coupling, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometric phase as a determinant of a qubit--environment coupling will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-472790