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Quantum Pattern Retrieval by Qubit Networks with Hebb Interactions

M. Cristina Diamantini·Carlo A. Trugenberger
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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.

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M. Cristina Diamantini, Carlo A. Trugenberger. 2006-09-15. Quantum Pattern Retrieval by Qubit Networks with Hebb Interactions. https://doi.org/10.1103/physrevlett.97.130503

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