Factoring with Waves: A Frequency-Phase Perspective on Quantum Computation

This talk introduces an alternative framework for quantum computing, grounded in frequency-phase encoding using analog oscillators and basic electronic components. Rather than relying on conventional amplitude-phase modulation seen in most qubit systems, this model represents integers as sinusoidal waveforms with distinct frequencies. Prime frequencies act as basis modes, and factoring emerges through resonance and zero-crossing alignment between dividend sinusoids and prime frequency sinusoid divisors, akin to a form of analog period detection. The architecture models superposition as a polychromatic waveform and investigates wave interference as a tool for number factorization, leveraging physical intuition from signal processing and oscillator theory. The approach also invites discussion about Hilbert space geometry, orthogonal basis sets, and a reinterpretation of light using bra-ket notation where c=⟨λ∣ν⟩. While still in development, this perspective shows potential for new physical implementations of quantum algorithms and intuitive learning tools for understanding wave-based computation.

Speaker:

Lydell Aaron is an independent researcher, CEO and technical founder of Calective, LLC, a non-traditional defense startup, where he is developing novel analog gate-based approaches to quantum computing, tamper-resistant wireless data link communication systems, drones, and waste to energy systems. He earned his B.S. in Computer Engineering from California Polytechnic State University, San Luis Obispo, where he “learned by doing” and brings years of experience in military drone development, counter drone systems, and now a patented jam-resistant datalink through Calective. Lydell approaches quantum computing from an engineering-first wave-based perspective, building models for oscillator-based systems and exploring how resonance may unlock faster, intuitive methods for number factoring. His now-published USPTO patent-pending wave-based computing architecture uses frequency-phase encoding to perform integer factoring and computation as a process of wave generation, interference, alignment, and wave-counting. He actively shares his research journey on LinkedIn, engaging both technical and non-technical audiences in the evolving dialogue around quantum technologies.