Inverse engineering control in open quantum systems

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...

Dynamics and Control of Open Quantum Systems

Arbitrarily accurate dynamical control in open quantum systems.

We show that open-loop dynamical control techniques may be used to synthesize unitary transformations in open quantum systems in such a way that decoherence is perturbatively compensated for to a desired (in principle arbitrarily high) level of accuracy, which depends only on the strength of the relevant errors and the achievable rate of control modulation. Our constructive and fully analytical...

Quantum conditions on dynamics and control in open systems.

Quantum conditions on the control of dynamics of a system coupled to an environment are obtained. Specifically, consider a system initially in a system subspace H(0) of dimensionality M(0), which evolves to populate system subspaces H(1), H(2) of dimensionalities M(1), M(2). Then, there always exists an initial state in H(0) that does not evolve into H(2) if M(0)>dM(2), where 2<or=d<or=(M(0)+M(...

Multipartite quantum correlations in open quantum systems

In this paper, we present a measure of quantum correlation for a multipartite system, defined as the sum of the correlations for all possible partitions. Our measure can be defined for quantum discord (QD), geometric quantum discord or even for entanglement of formation (EOF). For tripartite pure states, we show that the multipartite measures for the QD and the EOF are equivalent, which allows ...