Colleen Delaney

Research Interests

My current research interests are in topological quantum computation, G-crossed braided fusion categories, condensed matter theory, and quantum hardware design. When I was an undergraduate I studied Hopf algebras in noncommutative geometry and perturbative quantum field theory.

Publications

  1. Local unitary representations of the braid group and their application to quantum computing. C. Delaney, Eric C. Rowell, Zhenghan Wang. arXiv:1604.06429
  2. Dyson-Schwinger equations and the theory of computation. C. Delaney, Matilde Marcolli."Feynman Amplitudes, Periods and Motives", Clay Math Institute and AMS.arXiv:1302.5040
  3. Generalizing the Connes Moscovici Hopf algebra to contain all rooted trees. Susama Agarwala, C. Delaney. Journal of Mathematical Physics, Volume 56, Issue 4, April 2015. arXiv:1302.4004