Research Bio.

I graduated from the University of St Andrews with a Masters in Mathematics and Theoretical Physics (MMath Mphys/T) in 2008.  My masters project was concerned with the notion of complex dimensions of certain mathematical objects known as fractal strings and the connections they have with an alternative formulation of the Riemann Hypothesis.  In September of 2008 I began my Phd in the theoretical quantum information group here in St Andrews.

Current Research

The bulk of my research has been in the field of Quantum Information Processing (QIP) over Continuous Variables (CV). One of my main aims was to develop methods to generate CV, many body entangled states, known as Cluster states.  CV cluster states have been shown to be a resource for measurement-based universal quantum computation and so the generation of reliable, long lived clusters has become an important issue.  I have recently completed a project showing how ensembles of atoms can be entangled to form arbitrarily large cluster states using the Faraday interaction.

More recently, in collaboration with the Quantum information and optics group at the Max Plank Institute for light, I have been looking at topological models of quantum computation. These models offer a way of protecting quantum information from error by utilizing quasi-particles known as anyons which have non-trivial quantum statistics that differ from normal fermions and bosons. Certain types of anyons have been shown to provide a resource for qubit topological computation. I have been working to extend these models into the CV regime and hence develop a new universality model for CV quantum computation.

I have also looked into the possibility of using magneto-electro cross coupled Electromagnetically Induced Transparency (EIT) media for invisibility cloaking. These media have an extremely large range of refractive index that can be efficiently tuned by an external magnetic field.  By modelling these media we have shown that it is possible to build an adaptable electromagnetically induced cloaking device that avoids the tricky business of having to engineer micro-structured materials such as meta-materials.

My Thesis is available at
DM Thesis

Research Topics

Dr. Milne's research topics include:

• Electromagnetically induced invisibility
• Topological Quantum Computation

Publications

D. F. Milne and N. V. Korolkova
Electromagnetically induced invisibility cloaking
Submitted to Phys Rev Lett, ArXiv

D. F. Milne and N. V. Korolkova
Composite Cluster States and Alternative Architectures for One-Way Quantum Computation
Phys. Rev. A 85, 032310 (2012) ArXiv

D. F Milne, N. V Korolkova and P. van Loock
Universal Quantum Computation with Continuous-Variable Abelian Anyons
Phys. Rev. A 85, 052325 (2012) ArXiv

D. F Milne, N. V Korolkova and P. van Loock:
Continuous-Variable non-Abelian anyons from an Abelian anyon model
(manuscript)

Supervision

Dr. Natalia Korolkova nvk@st-andrews.ac.uk

Quantum Information