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Universidad Distrital Francisco José de Caldas

Ingeniería Electrónica

Arquitectura de Procesamiento Cuántico en el Marco de la Teoría ORCH OR

León Riveros, Andrea CarolinaAsesor: Sarta Fuentes, José Antonio

This thesis designs and implements a quantum computing architecture within the framework of Penrose-Hameroff’s Orchestrated Objective Reduction (Orch OR) theory of consciousness. The biophysical system was modeled as a quantum network of 82 qubits with a global Hilbert space dimension of 2^{82}, governed by a transverse-field Ising Hamiltonian5 and coupled to an auxiliary calcium control register representing the CaMKII holoenzyme through conditional CNOT gates. Employing first-order Trotterization in Qiskit and executing the circuit on the real ibm_fez superconducting processor (Heron r2 architecture, with 10,000 shots), the calculated physical observables revealed unitary energy fluctuations ranging from -29.158 meV to -0.726 meV12, with a Diósi-Penrose critical collapse threshold of 1.2875. The model identified 7 discrete conscious moments using the Orch OR Index, filtering 2 candidate events (at time indices 0 and 19), and illustrating via a spatial coherence heatmap how high-frequency microtubule vibrations generate "beat frequencies" corresponding to the macroscopic 40 Hz gamma EEG rhythm. The work demonstrates integrated processing that addresses the binding problem, while acknowledging NISQ-era hardware limitations and the Topology Problem arising from the discrepancy between IBM’s flat Heavy-Hex physical layout and the 3D helical cylindrical geometry of biological microtubules

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