期刊
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
卷 51, 期 11, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1751-8121/aaabcb
关键词
neural networks; statistical physics of disordered systems; open quantum systems
资金
- European Research Council under the European Union's Seventh Framework Programme / ERC [335266]
- H2020-FETPROACT [640378]
- EPSRC [EP/M014266/1]
We propose a new framework to understand how quantum effects may impact on the dynamics of neural networks. We implement the dynamics of neural networks in terms of Markovian open quantum systems, which allows us to treat thermal and quantum coherent effects on the same footing. In particular, we propose an open quantum generalisation of the Hopfield neural network, the simplest toy model of associative memory. We determine its phase diagram and show that quantum fluctuations give rise to a qualitatively new non-equilibrium phase. This novel phase is characterised by limit cycles corresponding to high-dimensional stationary manifolds that may be regarded as a generalisation of storage patterns to the quantum domain.
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