Universal quantum computation with ordered spin-chain networks
Abstract
It is shown that anisotropic spin chains with gapped bulk excitations and magnetically ordered ground states offer a promising platform for quantum computation, which bridges the conventional single-spin-based qubit concept with recently developed topological Majorana-based proposals. We show how to realize the single-qubit Hadamard, phase, and pi/8 gates as well as the two-qubit CNOT gate, which together form a fault-tolerant universal set of quantum gates. The gates are implemented by judiciously controlling Ising exchange and magnetic fields along a network of spin chains, with each individual qubit furnished by a spin-chain segment. A subset of single-qubit operations is geometric in nature, relying on control of anisotropy of spin interactions rather than their strength. We contrast topological aspects of the anisotropic spin-chain networks to those of p-wave superconducting wires discussed in the literature.
Cite
@article{arxiv.1104.1210,
title = {Universal quantum computation with ordered spin-chain networks},
author = {Yaroslav Tserkovnyak and Daniel Loss},
journal= {arXiv preprint arXiv:1104.1210},
year = {2011}
}
Comments
9 pages, 3 figures