Braid topologies for quantum computation
Physical Review Letters 95:14 (2005)
Abstract:
In topological quantum computation, quantum information is stored in states which are intrinsically protected from decoherence, and quantum gates are carried out by dragging particlelike excitations (quasiparticles) around one another in two space dimensions. The resulting quasiparticle trajectories define world lines in three-dimensional space-time, and the corresponding quantum gates depend only on the topology of the braids formed by these world lines. We show how to find braids that yield a universal set of quantum gates for qubits encoded using a specific kind of quasiparticle which is particularly promising for experimental realization. © 2005 The American Physical Society.On the Outage Capacity of Correlated Multiple-Path MIMO Channels
(2005)
Capacity and Character Expansions: Moment generating function and other exact results for MIMO correlated channels
(2005)
Quantum phase transition in the one-dimensional extended Peierls-Hubbard model
(2005)
Topological Quantum Computing with Only One Mobile Quasiparticle
(2005)