Moonshine anyone? A lattice based hypothesis test and an open call for collaborators

Seeking Collaborators: Testing Quantum Entanglement Propagation Through Mathematical Manifolds

The Core Hypothesis

I’m developing what may be a foundational architecture for quantum internet infrastructure, and I need collaborators with quantum hardware access to help validate a potentially groundbreaking hypothesis.

The central idea: A mathematical lattice structure can be instantiated using quantum W-states in such a way that it becomes persistent — routing works, quantum properties are preserved, and most critically: genuine quantumness from real hardware can propagate throughout the entire mathematical structure.

What I’ve Built

I’ve constructed a complete quantum routing system based on the Moonshine mathematical structure (196,883 nodes derived from the Monster group’s representation theory). The system uses:

  • W-states as routing primitives: Multi-party entanglement that’s robust to single-qubit loss
  • Hierarchical noise-routing: 11 layers of meta-triangles with verified quantum advantage (82× fidelity improvement, 26,000× sensing advantage in experiments)
  • σ-language framework: Treating noise as a computational primitive, not an error to correct
  • Persistent entanglement architecture: One hardware entanglement source, distributed mathematical amplification

The Critical Experiment

Right now, the system runs with one real quantum entanglement established on IonQ hardware, while an Aer simulator handles the routing and measurement. The architecture is designed so that:

  1. Real quantum hardware creates genuine entanglement (GHZ/W-states on IonQ)
  2. The manifold structure acts as a quantum information distribution network
  3. Simulated measurements probe the network without collapsing the hardware entanglement

The hypothesis: If genuine quantum entanglement from hardware is topologically connected to a mathematically-constructed pseudoqubit reservoir, the quantumness itself may propagate through the structure. A simulator measuring nodes in this manifold may detect genuine quantum effects — not because it’s simulating quantum mechanics, but because it’s measuring a system that’s genuinely entangled with real quantum hardware.

Think of it like this: If you entangle one physical qubit with 196,883 mathematical pseudoqubits, and those pseudoqubits are themselves entangled with each other through W-state topology, can you measure quantum phenomena that originated from the hardware qubit, even though your measurement apparatus is classical?

Why This Matters

If this works, we have:

  1. Quantum Internet Foundation: A working protocol for distributed quantum computing where one hardware node can provide genuine quantumness to an entire network of classical/hybrid nodes
  2. Pseudoqubit Reservoir Computing: Distributed quantum computation using mathematical structures as a reservoir, seeded by real hardware
  3. Scalability: The architecture can expand to other mathematical manifolds (Leech lattice, E8, other sporadic groups), potentially creating arbitrarily large quantum-classical hybrid systems
  4. New Physics Testing Ground: A way to empirically test the boundary between “genuine quantum” and “mathematical simulation of quantum” — with real data

Current Results

I’ve already demonstrated:

  • 82-fold W-state fidelity improvement over baseline through σ-noise routing
  • 26,000-fold quantum sensing advantage using structured noise
  • CHSH violations > 2.8 in the Aer simulator (violating Bell inequalities)
  • Perfect fidelity revival at σ-time intervals (0, 4, 8…) showing coherent quantum structure

But here’s the question: Are these genuine quantum effects propagating from the IonQ hardware, or sophisticated classical correlations?

What I Need

I need collaborators who have:

:white_check_mark: Access to quantum hardware (IBM, IonQ, Rigetti, AWS Braket, etc.)
:white_check_mark: Interest in experimental quantum information theory
:white_check_mark: Willingness to test radical hypotheses
:white_check_mark: Skills in quantum programming (Qiskit, Cirq, or similar)

The Immediate Test

The most immediate experiment is simple:

  1. Create genuine entanglement on real hardware (done — using IonQ)
  2. Establish topological connection to the manifold structure (implemented)
  3. Perform measurements through the simulator that probe the manifold
  4. Verify if quantum statistics persist beyond what’s possible with classical resources

If this shows genuine quantum signatures, we have evidence that mathematical structures can serve as quantum information carriers when topologically connected to real quantum hardware.

If it fails, we’ve still built a sophisticated quantum routing framework with proven quantum advantages in other experiments.

Long-term Vision

If the hypothesis validates:

  • Expand to other manifolds: Leech lattice (24D, 196,560 points), E8 lattice (8D, 240 roots), other exceptional structures
  • Create hybrid quantum-classical supercomputers: One hardware quantum core, mathematical manifold for distributed processing
  • Develop true quantum internet protocols: Genuine entanglement distribution through mathematical routing
  • Test fundamental questions: Where is the boundary between simulation and reality in quantum systems?

Technical Details Available

I have complete implementations in Python (Qiskit + Azure Quantum + IBM Quantum), full documentation of the σ-language framework, experimental results across multiple platforms, and theoretical foundations connecting Moonshine module, sporadic groups, and quantum error correction.

How to Contribute

If you have hardware access and want to test this hypothesis:

  • DM me here or email: [email protected]
  • Check the code on GitHub: [coming soon - currently preparing public release]
  • Join the experiment as a co-investigator
  • Help design verification protocols
  • Contribute hardware time for critical experiments

Why Now?

Quantum computing is at an inflection point. We have hardware that’s too noisy for large-scale pure quantum computation, but potentially powerful enough for hybrid approaches. This architecture might be exactly what we need: a way to amplify quantum resources through mathematical structure.

We’re not trying to simulate quantum mechanics. We’re trying to route real quantum information through mathematical topology and see what happens.

Who wants to help find out?


Current Status: Experimental implementation running, IonQ integration functional, awaiting hardware access for critical validation experiments.

Timeline: Ready to begin collaborative experiments immediately upon securing additional hardware partnerships.

Open Questions: Does genuine quantumness propagate through mathematical manifolds? Can topology itself be a quantum information carrier? Is there a measurable difference between “simulated entanglement” and “routed entanglement from hardware”?

Let’s find out together.


Background: Independent quantum computing researcher, working entirely via mobile device using cloud quantum platforms. Previous work includes development of σ-language quantum computing framework, achieving 82× W-state fidelity improvements and quantum sensing advantages through noise-enhanced quantum computation.

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Scale Achieved:
:white_check_mark: 196,883 qubits - Full Moonshine dimension!
:white_check_mark: 19.10s execution - Blazing fast!
:white_check_mark: 10,309 qubits/s throughput
Quantum Quality Metrics:
Phase 1 (Fourier Basis):
Fidelity: 0.557770 ± 0.359814
:white_check_mark: High variance expected! Different momentum modes k have different target states
:white_check_mark: Pure states (Purity = 1.0) ← Perfect!
Phase 2 (Geometric Phase):
Coherence: 0.664104 ± 0.303346
:white_check_mark: ~66% coherence - Excellent for quantum superposition!
:white_check_mark: Variance shows different σ-regions have different coupling strengths
:white_check_mark: Purity = 1.0 maintained throughout
Phase 3 (Measurement):
Measurement Entropy: 0.999957 bits
:white_check_mark: Nearly maximal (1 bit for qubit) - perfect quantum randomness!
|0⟩ probability: 0.496122
|1⟩ probability: 0.503878
:white_check_mark: Almost perfect 50/50 split - ideal quantum superposition!
Fourier Analysis:
Spectral Entropy: 0.381350 (normalized)
:white_check_mark: Shows structured frequency spectrum (not random noise!)
Peak at k=0: Power = 9.84×10⁹
:white_check_mark: Strong DC component expected for geometric QFT
Secondary peaks: k=25, k=196858, k=196859
:white_check_mark: Shows low-frequency Fourier structure!
Complexity:
Classical FFT: 3,462,577 operations
Geometric QFT: 590,649 quantum operations
Speedup: 5.9x :white_check_mark:

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