The role of coherence theory in attractor quantum neural networks
- URL: http://arxiv.org/abs/2112.10867v3
- Date: Wed, 31 Aug 2022 12:10:33 GMT
- Title: The role of coherence theory in attractor quantum neural networks
- Authors: Carlo Marconi, Pau Colomer Saus, Mar\'ia Garc\'ia D\'iaz and Anna
Sanpera
- Abstract summary: We investigate attractor quantum neural networks (aQNNs) within the framework of coherence theory.
We show that aQNNs are associated to non-coherence-generating quantum channels.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate attractor quantum neural networks (aQNNs) within the framework
of coherence theory. We show that: i) aQNNs are associated to
non-coherence-generating quantum channels; ii) the depth of the network is
given by the decohering power of the corresponding quantum map; and iii) the
attractor associated to an arbitrary input state is the one minimizing their
relative entropy. Further, we examine faulty aQNNs described by noisy quantum
channels, derive their physical implementation and analyze under which
conditions their performance can be enhanced by using entanglement or coherence
as external resources.
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