Publications

Topographical features of large areas of Si(111) surface are revealed by the use of epitaxial silicide growth and transmission electron microscopy.

We present a new method of topological optimization, based on the computation of a gradient type information.

We develop a mixed-integer linear programming formulation for the topological design of a virtual circuit based local area network.

In this memorandum we formulate an optimization model for the topological design and analysis of virtual circuit based Local Area Networks (LANs).

Topological equivalence between the half crossover network and the banyan network is proven using a pair of equivalence relationships.

In the last 5 years, the combination of advances in nanofabrication and a series of ingenious design ideas has enabled the implementation of topological concepts into nanophotonic platforms.

A method for compiling quantum algorithms into specific braiding patterns for Fibonacci anyons is developed.

Quasiparticle excitations with nonabelian statistics are expected to arise in a variety of exotic two-dimensional quantum many- body systems.

In a topological quantum computer (TQC), quantum information is stored in "topological states of matter" (realizations of topological field theories) which are intrinsically protected from decohere

In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their worl