TY - JOUR
T1 - Universal computation by multi-particle quantum walk
JF - Science
Y1 - 2013
A1 - Andrew M. Childs
A1 - David Gosset
A1 - Zak Webb
AB - 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.
VL - 339
U4 - 791 - 794
UR - http://arxiv.org/abs/1205.3782v2
CP - 6121
J1 - Science
U5 - 10.1126/science.1229957
ER -