318 citations · 4.4k across the 146 of their papers we have counts for
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Quantum computation with abelian anyons on the honeycomb lattice
Jiannis K. Pachos
We consider a two-dimensional spin system that exhibits abelian anyonic excitations. Manipulations of these excitations enable the construction of a quantum computational model. Wh…
Chiral phase from three spin interactions in an optical lattice
Christian D'Cruz, Jiannis Pachos
A spin-1/2 chain model that includes three spin interactions can effectively describe the dynamics of two species of bosons trapped in an optical lattice with a triangular-ladder c…
Three-spin interactions and entanglement in optical lattices
Jiannis K. Pachos
The entanglement properties of some novel quantum systems are studied that are inspired by recent developments in cold-atom technology. A triangular optical lattice of two atomic s…
A constructive algorithm for the Cartan decomposition of SU(2^N)
Henrique N. Sá Earp, Jiannis K. Pachos
We present an explicit numerical method to obtain the Cartan-Khaneja-Glaser decomposition of a general element G of SU(2^N) in terms of its `Cartan' and `non-Cartan' components. Th…
Geometric phases and criticality in spin chain systems
Angelo C. M. Carollo, Jiannis K. Pachos
A relation between geometric phases and criticality of spin chains is established. As a result, we show how geometric phases can be exploited as a tool to detect regions of critica…
Graph State Preparation and Cluster Computation with Global Addressing of Optical Lattices
Alastair Kay, Jiannis K. Pachos, Charles S. Adams
We present a novel way to manipulate ultra-cold atoms where four atomic levels are trapped by appropriately tuned optical lattices. When employed to perform quantum computation via…