Quantum Pattern Retrieval by Qubit Networks with Hebb Interactions
Quantum Physics
2009-11-13 v1 Disordered Systems and Neural Networks
Neural and Evolutionary Computing
Abstract
Qubit networks with long-range interactions inspired by the Hebb rule can be used as quantum associative memories. Starting from a uniform superposition, the unitary evolution generated by these interactions drives the network through a quantum phase transition at a critical computation time, after which ferromagnetic order guarantees that a measurement retrieves the stored memory. The maximum memory capacity p of these qubit networks is reached at a memory density p/n=1.
Cite
@article{arxiv.quant-ph/0609117,
title = {Quantum Pattern Retrieval by Qubit Networks with Hebb Interactions},
author = {M. Cristina Diamantini and Carlo A. Trugenberger},
journal= {arXiv preprint arXiv:quant-ph/0609117},
year = {2009}
}
Comments
To appear in Physical Review Letters