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Anyonic Quantum Walks
Gavin K. Brennen, Demosthenes Ellinas, Viv Kendon +3
The one dimensional quantum walk of anyonic systems is presented. The anyonic walker performs braiding operations with stationary anyons of the same type ordered canonically on the…
Non-Abelian anyonic interferometry with a multi-photon spin lattice simulator
D. W. Berry, M. Aguado, A. Gilchrist +1
Recently a pair of experiments demonstrated a simulation of Abelian anyons in a spin network of single photons. The experiments were based on an Abelian discrete gauge theory spin…
Constructing General Unitary Maps from State Preparations
Seth T. Merkel, Gavin Brennen, Poul S. Jessen +1
We present an efficient algorithm for generating unitary maps on a -dimensional Hilbert space from a time-dependent Hamiltonian through a combination of stochastic searches and…
Global operations for protected quantum memories in atomic spin lattices
G. K. Brennen, K. Hammerer, L. Jiang +2
Quantum information processed in strongly correlated states of matter can provide built in hardware protection against errors. We may encode information in highly non local degrees…
Simulations of quantum double models
G. K. Brennen, M. Aguado, J. I. Cirac
We demonstrate how to build a simulation of two dimensional physical theories describing topologically ordered systems whose excitations are in one to one correspondence with irred…