%0 Journal Article
%J Science
%D 2013
%T Universal computation by multi-particle quantum walk
%A Andrew M. Childs
%A David Gosset
%A Zak Webb
%X A quantum walk is a time-homogeneous quantum-mechanical process on a graph defined by analogy to classical random walk. The quantum walker is a particle that moves from a given vertex to adjacent vertices in quantum superposition. Here we consider a generalization of quantum walk to systems with more than one walker. A continuous-time multi-particle quantum walk is generated by a time-independent Hamiltonian with a term corresponding to a single-particle quantum walk for each particle, along with an interaction term. Multi-particle quantum walk includes a broad class of interacting many-body systems such as the Bose-Hubbard model and systems of fermions or distinguishable particles with nearest-neighbor interactions. We show that multi-particle quantum walk is capable of universal quantum computation. Since it is also possible to efficiently simulate a multi-particle quantum walk of the type we consider using a universal quantum computer, this model exactly captures the power of quantum computation. In principle our construction could be used as an architecture for building a scalable quantum computer with no need for time-dependent control.
%B Science
%V 339
%P 791 - 794
%8 2013/02/14
%G eng
%U http://arxiv.org/abs/1205.3782v2
%N 6121
%! Science
%R 10.1126/science.1229957