A model of interacting quantum neurons with a dynamic synapse

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 minimal model of two interacting qubits with an activity-dependent dynamic interplay as in classical dynamic synapses t...

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Main Authors: J J Torres, D Manzano
Format: Article
Language:English
Published: IOP Publishing 2022-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ac7aaa
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author J J Torres
D Manzano
author_facet J J Torres
D Manzano
author_sort J J Torres
collection DOAJ
description 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 minimal model of two interacting qubits with an activity-dependent dynamic interplay as in classical dynamic synapses that induces the so-called synaptic depression, that is, synapses that present synaptic fatigue after heavy presynaptic stimulation. Our study shows that in absence of synaptic depression the two-qubits quantum system shows typical Rabi oscillations whose frequency decreases when synaptic depression is introduced, so one can trap excitations for a large period of time. This creates a population imbalance between the qubits even though the Hamiltonian is Hermitian. This imbalance can be sustained in time by introducing a small energy shift between the qubits. In addition, we report that long time entanglement between the two qubits raises naturally in the presence of synaptic depression. Moreover, we propose and analyse a plausible experimental setup of our two-qubits system which demonstrates that these results are robust and can be experimentally obtained in a laboratory.
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spelling doaj.art-f5b31c19f9f04ac3bcb132eafdf77abf2023-08-09T14:25:40ZengIOP PublishingNew Journal of Physics1367-26302022-01-0124707300710.1088/1367-2630/ac7aaaA model of interacting quantum neurons with a dynamic synapseJ J Torres0https://orcid.org/0000-0001-6175-9676D Manzano1https://orcid.org/0000-0001-9241-5884Institute Carlos I for Theoretical and Computational Physics, University of Granada , Granada E-18071, Spain; Departamento de Electromagnetismo y Física de la Materia, University of Granada, Granada 1807, SpainInstitute Carlos I for Theoretical and Computational Physics, University of Granada , Granada E-18071, Spain; Departamento de Electromagnetismo y Física de la Materia, University of Granada, Granada 1807, SpainMotivated 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 minimal model of two interacting qubits with an activity-dependent dynamic interplay as in classical dynamic synapses that induces the so-called synaptic depression, that is, synapses that present synaptic fatigue after heavy presynaptic stimulation. Our study shows that in absence of synaptic depression the two-qubits quantum system shows typical Rabi oscillations whose frequency decreases when synaptic depression is introduced, so one can trap excitations for a large period of time. This creates a population imbalance between the qubits even though the Hamiltonian is Hermitian. This imbalance can be sustained in time by introducing a small energy shift between the qubits. In addition, we report that long time entanglement between the two qubits raises naturally in the presence of synaptic depression. Moreover, we propose and analyse a plausible experimental setup of our two-qubits system which demonstrates that these results are robust and can be experimentally obtained in a laboratory.https://doi.org/10.1088/1367-2630/ac7aaaneuronsquantum informationentanglementdynamical synapse
spellingShingle J J Torres
D Manzano
A model of interacting quantum neurons with a dynamic synapse
New Journal of Physics
neurons
quantum information
entanglement
dynamical synapse
title A model of interacting quantum neurons with a dynamic synapse
title_full A model of interacting quantum neurons with a dynamic synapse
title_fullStr A model of interacting quantum neurons with a dynamic synapse
title_full_unstemmed A model of interacting quantum neurons with a dynamic synapse
title_short A model of interacting quantum neurons with a dynamic synapse
title_sort model of interacting quantum neurons with a dynamic synapse
topic neurons
quantum information
entanglement
dynamical synapse
url https://doi.org/10.1088/1367-2630/ac7aaa
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