Control landscapes for two-level open quantum systems

Control landscapes for two-level open quantum systems

A quantum control landscape is defined as the physical objective as a function of the control variables. In this paper the control landscapes for two-level open quantum systems, whose evolution is described by general completely positive trace preserving maps (i.e., Kraus maps), are investigated in details. The objective function, which is the expectation value of a target system operator, is d...

Level shift operators for open quantum systems

Level shift operators describe the second order displacement of eigenvalues under perturbation. They play a central role in resonance theory and ergodic theory of open quantum systems at positive temperatures. We exhibit intrinsic properties of level shift operators, properties which stem from the structure of open quantum systems at positive temperatures and which are common to all such system...

Optimization search effort over the control landscapes for open quantum systems with Kraus-map evolution

A quantum control landscape is defined as the expectation value of a target observable Θ as a function of the control variables. In this work control landscapes for open quantum systems governed by Kraus map evolution are analyzed. Kraus maps are used as the controls transforming an initial density matrix ρi into a final density matrix to maximize the expectation value of the observable Θ. The ...

Control of Open Quantum Systems

Aalto University, P.O. Box 11000, FI-00076 Aalto www.aalto.fi Author Juha Salmilehto Name of the doctoral dissertation Control of Open Quantum Systems Publisher School of Science Unit Department of Applied Physics Series Aalto University publication series DOCTORAL DISSERTATIONS 102/2014 Field of research Engineering Physics, Theoretical and Computational Physics Manuscript submitted 13 May 201...

Time optimal simultaneous control of two level quantum systems