Publications (8)
Volume Fractions of the Kinematic "Near-Critical" Sets of the Quantum Ensemble Control Landscape
Jason Dominy, Herschel Rabitz
An estimate is derived for the volume fraction of a subset in the neighborhood of the critical set $C^{P}\simeq\mathrm{…
Optimized pulses for the control of uncertain qubits
Matthew D. Grace, Jason Dominy, Wayne M. Witzel +1
Constructing high-fidelity control fields that are robust to control, system, and/or surrounding environment uncertainties is a crucial objective for quantum information processing…
Environment-invariant measure of distance between evolutions of an open quantum system
Matthew D. Grace, Jason Dominy, Robert L. Kosut +2
The problem of quantifying the difference between evolutions of an open quantum system (in particular, between the actual evolution of an open system and the ideal target operation…
Characterization of the Critical Sets of Quantum Unitary Control Landscapes
Jason Dominy, Tak-San Ho, Herschel Rabitz
This work considers various families of quantum control landscapes (i.e. objective functions for optimal control) for obtaining target unitary transformations as the general soluti…
Dynamic Homotopy and Landscape Dynamical Set Topology in Quantum Control
Jason Dominy, Herschel Rabitz
We examine the topology of the subset of controls taking a given initial state to a given final state in quantum control, where "state" may mean a pure state |Ï>, an ensemble dens…
Exploring the top and bottom of the quantum control landscape
Vincent Beltrani, Jason Dominy, Tak-San Ho +1
A controlled quantum system possesses a search landscape defined by the target physical objective as a function of the controls. This paper focuses on the landscape for the transit…