Quantum computational renormalization in the Haldane phase
Abstract
Single-spin measurements on the ground state of an interacting spin lattice can be used to perform a quantum computation. We show how such measurements can mimic renormalization group transformations and remove the short-ranged variations of the state that can reduce the fidelity of a computation. This suggests that the quantum computational ability of a spin lattice could be a robust property of a quantum phase. We illustrate our idea with the ground state of a spin-1 chain, which can serve as a quantum computational wire not only at the Affleck-Kennedy-Lieb-Tasaki point, but within the rotationally-invariant Haldane phase.
Cite
@article{arxiv.1004.4906,
title = {Quantum computational renormalization in the Haldane phase},
author = {Stephen D. Bartlett and Gavin K. Brennen and Akimasa Miyake and Joseph M. Renes},
journal= {arXiv preprint arXiv:1004.4906},
year = {2014}
}
Comments
v2: 4 pages, 3 figures; improved description of buffering scheme and connection to string operators. v3: final published version