318 citations · 4.4k across the 146 of their papers we have counts for
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Multipartite purification protocols: upper and optimal bounds
Alastair Kay, Jiannis K. Pachos
A method for producing an upper bound for all multipartite purification protocols is devised, based on knowing the optimal protocol for purifying bipartite states. When applied to…
An Index Theorem for Graphene
Jiannis K. Pachos, Michael Stone
We consider a graphene sheet folded in an arbitrary geometry, compact or with nanotube-like open boundaries. In the continuous limit, the Hamiltonian takes the form of the Dirac op…
Single atom quantum walk with 1D optical superlattices
Jaewoo Joo, P. L. Knight, Jiannis K. Pachos
A proposal for the implementation of quantum walks using cold atom technology is presented. It consists of one atom trapped in time varying optical superlattices. The required elem…
Optimal purification of thermal graph states
Alastair Kay, Jiannis K. Pachos, Wolfgang Dür +1
In this paper, a purification protocol is presented and its performance is proven to be optimal when applied to a particular subset of graph states that are subject to local Z-nois…
The Wavefunction of an Anyon
Jiannis K. Pachos
We consider a two-dimensional spin system in a honeycomb lattice configuration that exhibits anyonic and fermionic excitations [Kitaev, cond-mat/0506438]. The exact spectrum that c…
Fragmented superfluid due to frustration of cold atoms in optical lattices
J. J. Garcia-Ripoll, J. Pachos
A one dimensional optical lattice is considered where a second dimension is encoded in the internal states of the atoms giving effective ladder systems. Frustration is introduced b…
Geometric phases and criticality in spin systems
Jiannis K. Pachos, Angelo C. M. Carollo
A general formalism of the relation between geometric phases produced by circularly evolving interacting spin systems and their criticality behavior is presented. This opens up the…