99%-fidelity ballistic quantum-state transfer through long uniform channels

Quantum-state transfer with fidelity higher than 0.99 can be achieved in the ballistic regime of an arbitrarily long one-dimensional chain with uniform nearest-neighbor interaction, except for the two pairs of mirror symmetric extremal bonds, say x (first and last) and y (second and last-but-one). T...

Full description

Saved in:
Bibliographic Details
Published in:arXiv.org 2012-03
Main Authors: Apollaro, T J G, Banchi, L, Cuccoli, A, Vaia, R, Verrucchi, P
Format: Article
Language:English
Subjects:
Chains
Fermions
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:Quantum-state transfer with fidelity higher than 0.99 can be achieved in the ballistic regime of an arbitrarily long one-dimensional chain with uniform nearest-neighbor interaction, except for the two pairs of mirror symmetric extremal bonds, say x (first and last) and y (second and last-but-one). These have to be roughly tuned to suitable values x ~ 2 N^{-1/3} and y ~ 2^{3/4} N^{-1/6}, N being the chain length. The general framework can describe the end-to-end response in different models, such as fermion or boson hopping models and XX spin chains.
ISSN:2331-8422
DOI:10.48550/arxiv.1203.5516