72 citations · 215 across the 11 of their papers we have counts for
11 papers
Dependence of the Quantum Speed Limit on System Size and Control Complexity
Juneseo Lee, Christian Arenz, Herschel Rabitz +1
We extend the work in New J. Phys. 19, 103015 (2017) by deriving a lower bound for the minimum time necessary to implement a unitary transformation on a generic, closed quantum sys…
Control landscapes for a class of non-linear dynamical systems: sufficient conditions for the absence of traps
Benjamin Russell, Shanon Vuglar, Herschel Rabitz
We establish three tractable, jointly sufficient conditions for the control landscapes of non-linear control systems to be trap free comparable to those now well known in quantum c…
Comparing the Schrödinger and Dirac Descriptions of an Electron in a Uniform Magnetic Field
David Velasco Villamizar, Benjamin Russell
In this article we present a detailed description of an electron in a uniform magnetic field evolving under the Schrödinger equation using ladder operators. Based on this analysis,…
The roles of drift and control field constraints upon quantum control speed limits
Christian Arenz, Benjamin Russell, Daniel Burgarth +1
In this work we derive a lower bound for the minimum time required to implement a target unitary transformation through a classical time-dependent field in a closed quantum system.…
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…