Qudit quantum computation on matrix product states with global symmetry
Quantum Physics
2017-03-16 v2
Abstract
Resource states that contain nontrivial symmetry-protected topological order are identified for universal single-qudit measurement-based quantum computation. Our resource states fall into two classes: one as the qudit generalizations of the 1D qubit cluster state, and the other as the higher-symmetry generalizations of the spin-1 Affleck-Kennedy-Lieb-Tasaki (AKLT) state, namely, with unitary, orthogonal, or symplectic symmetry. The symmetry in cluster states protects information propagation (identity gate), while the higher symmetry in AKLT-type states enables nontrivial gate computation. This work demonstrates a close connection between measurement-based quantum computation and symmetry-protected topological order.
Keywords
Cite
@article{arxiv.1609.07174,
title = {Qudit quantum computation on matrix product states with global symmetry},
author = {Dong-Sheng Wang and David T. Stephen and Robert Raussendorf},
journal= {arXiv preprint arXiv:1609.07174},
year = {2017}
}