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@ARTICLE{Fiorelli:906298,
      author       = {Fiorelli, Eliana and Lesanovsky, Igor and Müller, Markus},
      title        = {{P}hase diagram of quantum generalized {P}otts-{H}opfield
                      neural networks},
      journal      = {New journal of physics},
      volume       = {24},
      issn         = {1367-2630},
      address      = {[London]},
      publisher    = {IOP},
      reportid     = {FZJ-2022-01352},
      pages        = {033012},
      year         = {2022},
      abstract     = {We introduce and analyze an open quantum generalization of
                      the q-state Potts-Hopfield neural network, which is an
                      associative memory model based on multi-level classical
                      spins. The dynamics of this many-body system is formulated
                      in terms of a Markovian master equation of Lindblad type,
                      which allows to incorporate both probabilistic classical and
                      coherent quantum processes on an equal footing. By employing
                      a mean field description we investigate how classical
                      fluctuations due to temperature and quantum fluctuations
                      effectuated by coherent spin rotations affect the ability of
                      the network to retrieve stored memory patterns. We construct
                      the corresponding phase diagram, which in the low
                      temperature regime displays pattern retrieval in analogy to
                      the classical Potts-Hopfield neural network. When increasing
                      quantum fluctuations, however, a limit cycle phase emerges,
                      which has no classical counterpart. This shows that quantum
                      effects can qualitatively alter the structure of the
                      stationary state manifold with respect to the classical
                      model, and potentially allow one to encode and retrieve
                      novel types of patterns.},
      cin          = {PGI-2},
      ddc          = {530},
      cid          = {I:(DE-Juel1)PGI-2-20110106},
      pnm          = {5224 - Quantum Networking (POF4-522)},
      pid          = {G:(DE-HGF)POF4-5224},
      typ          = {PUB:(DE-HGF)16},
      UT           = {WOS:000766853300001},
      doi          = {10.1088/1367-2630/ac5490},
      url          = {https://juser.fz-juelich.de/record/906298},
}