49 citations · 80 across the 5 of their papers we have counts for
5 papers
Common Foundations of Optimal Control Across the Sciences: evidence of a free lunch
Benjamin Russell, Herschel Rabitz
A common goal in the sciences is optimization of an objective function by selecting control variables such that a desired outcome is achieved. This scenario can be expressed in ter…
The Geometry of Speed Limiting Resources in Physical Models of Computation
Benjamin Russell, Susan Stepney
We study the maximum speed of quantum computation and how it is affected by limitations on physical resources. We show how the resulting concepts generalize to a broader class of p…
Quantum Control Landscapes Are Almost Always Trap Free
Benjamin Russell, Herschel Rabitz, Rebing Wu
A proof that almost all quantum systems have trap free (that is, free from local optima) landscapes is presented for a large and physically general class of quantum system. This re…
A Geometrical Derivation of a Family of Quantum Speed Limit Results
Benjamin Russell, Susan Stepney
We derive a family of quantum speed limit results in time independent systems with pure states and a finite dimensional state space, by using a geometric method based on right inva…
Zermelo Navigation in the Quantum Brachistochrone
Benjamin Russell, Susan Stepney
We analyse the optimal times for implementing unitary quantum gates in a constrained finite dimensional controlled quantum system. The family of constraints studied is that the per…