Power of Anisotropic Exchange Interactions: Universality and Efficient Codes for Quantum Computing
Abstract
We study the quantum computational power of a generic class of anisotropic solid state Hamiltonians. A universal set of encoded logic operations are found which do away with difficult-to-implement single-qubit gates in a number of quantum computer proposals, e.g., quantum dots and donor atom spins with anisotropic exchange coupling, quantum Hall systems, and electrons floating on helium.We show how to make the corresponding Hamiltonians universal by encoding one qubit into two physical qubits, and by controlling nearest neighbor interactions.
Cite
@article{arxiv.quant-ph/0103039,
title = {Power of Anisotropic Exchange Interactions: Universality and Efficient Codes for Quantum Computing},
author = {L. -A. Wu and D. A. Lidar},
journal= {arXiv preprint arXiv:quant-ph/0103039},
year = {2016}
}
Comments
5 pages, no figures. v4: Title and abstract changed. Added paragraph on state preparation and measurement. Parafermionic notation replaced with standard qubit notation. For treatment of qubits as parafermions see http://xxx.lanl.gov/abs/quant-ph/0109078