|
The broad objective of my research is to learn how we can engineer quantum entanglement on a large scale. This is important because entanglement gives us the power to create devices that otherwise could not exist, such as superconductors.
My particular focus involves investigating how to engineer a physical system that could act as a "quantum transistor", a robust building block for a future quantum computer, which has the potential to revolutionize computational science by giving us the ability to study systems that are intractable with classical techniques. Unfortunately, the ideal computer to use in designing a quantum computer would be a quantum computer itself, which we do not have yet. Thus, one of the major thrusts of my research is to develop and apply algorithms based on "matrix product state" techniques that allow us to simulate certain classes of highly entangled systems on a classical computer so that we can "bootstrap" our way to our first quantum computer, which could then be used to design future generations of quantum computers.
Also towards this end, a second thrust of my research is to develop and apply algorithmic techniques for designing error-correcting codes that can be used to protect information stored inside of a quantum computer from noise. This research is significant because the field of quantum codes is relatively new, and most progress by theorists has been made through heavy thinking and cleverness. However, it turns out that in many situations the parameter space one is searching through is sufficiently small that a computer can quickly scan through all of it and return an immediate answer. Thus, the technique that I am developing will allow us to use computers to accelerate learning about how we can protect quantum information.
G. M. Crosswhite, Andrew Doherty & Guifre Vidal, Applying matrix product operators to model systems with long-range interactions, Phys. Rev. B 78, 035116 (2008), 7 pp. 3 fig.
G. M. Crosswhite & Dave Bacon, Finite automata for caching in matrix product algorithms, Phys. Rev. A 78, 012356 (2008), 18 pp. 19 fig.
S. S. Antman & G. M. Crosswhite, Planar travelling waves in incompressible elastic rods, Methods and Applications of Analysis, 15 pp.
G. M. Crosswhite & S. S. Antman, A new spin on problems of Newton, the Bernoullis, and Abel, Memorie di Matematica e Applicazioni (accepted, not yet published), 17 pp.
Gemstone Team SmartRoads Thesis: Improving automative transportation using retroreflective electrophoretic pavement markings, 255 pp.
|
