336 citations · 1.2k across the 36 of their papers we have counts for
38 papers
Dissipative Quantum Hopfield Network: A numerical analysis
Joaquín J. Torres, Daniel Manzano
We present extensive simulations of a quantum version of the Hopfield Neural Network to explore its emergent behavior. The system is a network of qubits oscillating at a given…
A model of interacting quantum neurons with a dynamic synapse
J. J. Torres, D. Manzano
Motivated by recent advances in neuroscience, in this work, we explore the emergent behaviour of quantum systems with a dynamical biologically-inspired qubits interaction. We use a…
Dirac synchronization is rhythmic and explosive
Lucille Calmon, Juan G. Restrepo, Joaquín J. Torres +1
Topological signals defined on nodes, links and higher dimensional simplices define the dynamical state of a network or of a simplicial complex. As such, topological signals are at…
Geometry, Topology and Simplicial Synchronization
Ana Paula Millán, Juan G. Restrepo, Joaquín J. Torres +1
Simplicial synchronization reveals the role that topology and geometry have in determining the dynamical properties of simplicial complexes. Simplicial network geometry and topolog…
EEGs disclose significant brain activity correlated with synaptic fickleness
Jorge Pretel, Joaquin J. Torres, J. Marro
We here study a network of synaptic relations mingling excitatory and inhibitory neuron nodes that displays oscillations quite similar to electroencephalogram (EEG) brain waves, an…
Higher-order simplicial synchronization of coupled topological signals
Reza Ghorbanchian, Juan G. Restrepo, Joaquín J. Torres +1
Simplicial complexes capture the underlying network topology and geometry of complex systems ranging from the brain to social networks. Here we show that algebraic topology is a fu…