dorsal/arxiv
View SchemaPhase Transitions in Quantum Pattern Recognition
| Authors | Carlo A. Trugenberger |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0204115 |
| URL | https://arxiv.org/abs/quant-ph/0204115 |
| DOI | 10.1103/PhysRevLett.89.277903 |
Abstract
With the help of quantum mechanics one can formulate a model of associative memory with optimal storage capacity. I generalize this model by introducing a parameter playing the role of an effective temperature. The corresponding thermodynamics provides criteria to tune the efficiency of quantum pattern recognition. I show that the associative memory undergoes a phase transition from a disordered high-temperature phase with no correlation between input and output to an ordered, low-temperature phase with minimal input-output Hamming distance.
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"abstract": "With the help of quantum mechanics one can formulate a model of associative\nmemory with optimal storage capacity. I generalize this model by introducing a\nparameter playing the role of an effective temperature. The corresponding\nthermodynamics provides criteria to tune the efficiency of quantum pattern\nrecognition. I show that the associative memory undergoes a phase transition\nfrom a disordered high-temperature phase with no correlation between input and\noutput to an ordered, low-temperature phase with minimal input-output Hamming\ndistance.",
"arxiv_id": "quant-ph/0204115",
"authors": [
"Carlo A. Trugenberger"
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"doi": "10.1103/PhysRevLett.89.277903",
"title": "Phase Transitions in Quantum Pattern Recognition",
"url": "https://arxiv.org/abs/quant-ph/0204115"
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