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Globally controlled universal quantum computation with arbitrary subsystem dimension
G. A. Paz-Silva, G. K. Brennen, J. Twamley
We introduce a scheme to perform universal quantum computation in quantum cellular automata (QCA) fashion in arbitrary subsystem dimension (not necessarily finite). The scheme is d…
Non-locality of non-Abelian anyons
G. K. Brennen, S. Iblisdir, J. K. Pachos +1
Topological systems, such as fractional quantum Hall liquids, promise to successfully combat environmental decoherence while performing quantum computation. These highly correlated…
Measurement-based quantum computer in the gapped ground state of a two-body Hamiltonian
Gavin K. Brennen, Akimasa Miyake
We propose a scheme for a ground-code measurement-based quantum computer, which enjoys two major advantages. First, every logical qubit is encoded in the gapped degenerate ground s…
Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
M. Aguado, G. K. Brennen, F. Verstraete +1
Anyons are particlelike excitations of strongly correlated phases of matter with fractional statistics, characterized by nontrivial changes in the wave function, generalizing Bose…