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Lester Ingber Papers

Quantum-Classical interactions: calcium ions and synchronous neural firings

Lester Ingber

Published Jan 1, 2019• 0 citations
OpenAlex

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Accurate and efficient time-series forecasting remains a challenging problem for both classical and quantum neural architectures, particularly in multivariate environmental settings. This work adapts the Quantum Leaky Integrate-and-Fire (QLIF) spiking neural network for time-series regression tasks, specifically short-term multivariate weather forecasting. We extend QLIF beyond classification and demonstrate its applicability to continuous-valued prediction problems. The QLIF-CAST model encodes neuron excitation states as single-qubit quantum superpositions, driven by R_x rotation gates and T1 relaxation decay, and is embedded within a hybrid quantum-classical recurrent architecture. We conduct two distinct evaluations. First, a controlled comparison against a parameter-matched classical LIF baseline on a multivariate weather dataset shows that QLIF-CAST achieves 15.4% lower MSE and 4.4% lower MAE, demonstrating that quantum neuronal dynamics reduce prediction error over classical equivalents. Second, a cross-domain comparative analysis with state-of-the-art quantum LSTM (QLSTM) and quantum neural network (QNN) models on air quality and wind speed benchmarks reveals that QLIF-CAST converges in up to 94% less training time, occupying a distinct position in the speed-error trade-off space. Hardware verification on IBM Marrakesh (156-qubit QPU) confirms reliable circuit execution with only 1.2% average deviation from simulation.

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Phosphorus Nuclear Spin Qubits for Sustained Quantum Coherence in Neural Networks — E8 Intelligence Research

Andrew Stewart Caldin

FINDING: Matthew Fisher proposes nuclear spin of phosphorus atoms as a qubit substrate for quantum processing in neural networks, with specific decoherence times and molecular binding geometries enabling sustained quantum coherence. MATH: - Phosphorus nuclear spin: I = 1/2 (qubit) - Decoherence time scale for nuclear spins in biological environment: ~1 second (Fisher's estimate, based on NMR relaxation rates) - Key molecular candidate: Posner molecule (Ca₉(PO₄)₆) — symmetry group: trigonal (likely D₃h or C₃v) - Quantum entanglement lifetime in Posner clusters: predicted > 1 second due to spin shielding by calcium ions - Fisher's quantum cognition model requires: - Entanglement swapping between Posner molecules - Rate of quantum processing: ~10–100 Hz (compatible with neural firing rates) - No explicit equation for consciousness given; model is a quantum information processing framework. CONNECTION: - Posner molecule geometry: 6 phosphate groups arranged around c Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com

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Quantum analysis of postsynaptic potentials

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Neurophysiology•Sep 1, 1979•13 citations
Accurate and efficient time-series forecasting remains a challenging problem for both classical and quantum neural architectures, particularly in multivariate environmental settings. This work adapts the Quantum Leaky Integrate-and-Fire (QLIF) spiking neural network for time-series regression tasks, specifically short-term multivariate weather forecasting. We extend QLIF beyond classification and demonstrate its applicability to continuous-valued prediction problems. The QLIF-CAST model encodes neuron excitation states as single-qubit quantum superpositions, driven by R_x rotation gates and T1 relaxation decay, and is embedded within a hybrid quantum-classical recurrent architecture. We conduct two distinct evaluations. First, a controlled comparison against a parameter-matched classical LIF baseline on a multivariate weather dataset shows that QLIF-CAST achieves 15.4% lower MSE and 4.4% lower MAE, demonstrating that quantum neuronal dynamics reduce prediction error over classical equivalents. Second, a cross-domain comparative analysis with state-of-the-art quantum LSTM (QLSTM) and quantum neural network (QNN) models on air quality and wind speed benchmarks reveals that QLIF-CAST converges in up to 94% less training time, occupying a distinct position in the speed-error trade-off space. Hardware verification on IBM Marrakesh (156-qubit QPU) confirms reliable circuit execution with only 1.2% average deviation from simulation.
FINDING: Matthew Fisher proposes nuclear spin of phosphorus atoms as a qubit substrate for quantum processing in neural networks, with specific decoherence times and molecular binding geometries enabling sustained quantum coherence. MATH: - Phosphorus nuclear spin: I = 1/2 (qubit) - Decoherence time scale for nuclear spins in biological environment: ~1 second (Fisher's estimate, based on NMR relaxation rates) - Key molecular candidate: Posner molecule (Ca₉(PO₄)₆) — symmetry group: trigonal (likely D₃h or C₃v) - Quantum entanglement lifetime in Posner clusters: predicted > 1 second due to spin shielding by calcium ions - Fisher's quantum cognition model requires: - Entanglement swapping between Posner molecules - Rate of quantum processing: ~10–100 Hz (compatible with neural firing rates) - No explicit equation for consciousness given; model is a quantum information processing framework. CONNECTION: - Posner molecule geometry: 6 phosphate groups arranged around c Author: Andrew Stewart Caldin, Independent Researcher, UK. Part of the E8 Intelligence Research series. Platform: e8intelligence.com