Universal quantum computation with ordered spin-chain networks

Details Universal quantum computation with ordered spin-chain networks Universal quantum computation with ordered spin-chain networks

2011-04-06

arxiv.org/abs/1104.1210v2

Phys. Rev. A 84 (2011) 032333

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

9 pages, 3 figures

Scientific paper

10.1103/PhysRevA.84.032333

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.

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