Identifying phases of quantum many-body systems that are universal for quantum computation
Quantum Physics
2009-07-16 v3 Strongly Correlated Electrons
Abstract
Quantum computation can proceed solely through single-qubit measurements on an appropriate quantum state, such as the ground state of an interacting many-body system. We investigate a simple spin-lattice system based on the cluster-state model, and by using nonlocal correlation functions that quantify the fidelity of quantum gates performed between distant qubits, we demonstrate that it possesses a quantum (zero-temperature) phase transition between a disordered phase and an ordered "cluster phase" in which it is possible to perform a universal set of quantum gates.
Cite
@article{arxiv.0802.4314,
title = {Identifying phases of quantum many-body systems that are universal for quantum computation},
author = {Andrew C. Doherty and Stephen D. Bartlett},
journal= {arXiv preprint arXiv:0802.4314},
year = {2009}
}
Comments
5 pages, 2 figures, comments welcome; v2 has had many technical detailed removed, and gives a simplified presentation; v3 published version