Quantum Pattern Retrieval by Qubit Networks with Hebb Interactions
<|reference_start|>Quantum Pattern Retrieval by Qubit Networks with Hebb Interactions: 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.<|reference_end|>
@article{diamantini2006quantum,
    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={2006},
    doi={10.1103/PhysRevLett.97.130503},
    archivePrefix={arXiv},
    eprint={quant-ph/0609117},
    primaryClass={quant-ph cond-mat.dis-nn cs.NE}
}