V1Foundational systems2025

Theoretical framework with numerical illustration

Phase-Locked Quantum-Plasma Processor: Normalized Hamiltonian and Stability Analysis

The first formal statement of a phase-resonant computation concept based on a normalized Hamiltonian, feedback coupling, dissipation, and convergence toward stable energetic configurations.

01

Research question

Can computation be formulated as dissipative resonant convergence rather than as a sequence of logic gates?

02

Method and experiment series

The paper defines normalized variables, task encoding, resonance-lock feedback, quantum–plasma coupling, a Lindblad-style dissipative term, readout, Jacobian stability, and Floquet criteria, followed by a prototype 1D numerical illustration.

Series: Normalized formalism · stability criteria · 1D illustration

03

Key results

  • A dimensionless Hamiltonian and readout formalism is stated explicitly.
  • Convergence is bounded by Re(λᵢ) < 0 and subunit Floquet multipliers.
  • The numerical illustration shows energy minimisation and phase locking for the selected setup.

04

What is not established

This is a compact theoretical proposal with a prototype illustration. It does not validate a physical processor, plasma implementation, quantum advantage, or manufacturable architecture.

This work reports a theoretical or simulation result within a stated model. It is not physical validation of a technology and requires independent verification before real-world transfer.

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