QPC Architecture Verification

15-Contexture CO2 Optimization Structure

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⚠️ Important: This Is Architecture Verification, NOT True Parallel Execution

This test demonstrates QPC's architecture structure with 15 contextures, but does NOT demonstrate true parallel execution. Due to hardware limitations (975 qubits required vs 133 available), contextures execute individually (one at a time), not simultaneously.

For true parallel execution proof: See 2-Context True Parallel Test (130 qubits simultaneous with transjunctions).

✅ Architecture Verification Achieved

This test proves QPC architecture works correctly with 15 contextures, each following QPC's unique 3-layer structure (Kenogrammatic, Morphogrammatic, Transjunctional). While hardware limitations prevent true parallel execution, the architecture foundation is proven and ready for larger quantum computers.

What Is This Test?

This test verifies QPC's architecture structure by optimizing CO2 emissions reduction across 15 top-emitting countries. Each country operates as an independent contexture (65 qubits), following QPC's unique 3-layer architecture:

  • Kenogrammatic Layer: State preparation encoding country-specific CO2 reduction data
  • Morphogrammatic Layer: Brickwork CNOT pattern for entanglement within contexture
  • Transjunctional Layer: Measurement and preparation for cross-contexture coordination

Problem: Optimize 20% CO2 reduction across 15 countries over 10 years, with each country's reduction constrained by population and industrialization factors (±30%).

Execution Results

15
Contextures
975
Total Qubits (Structure)
65
Qubits per Contexture
INDIVIDUAL
Execution Mode
7,680
Solutions Explored
12.91
Shannon Entropy

Optimization Results

  • Total Reduction Achieved: 21,300.3 Mt CO₂
  • Target Reduction: 27,663.5 Mt CO₂ (20% of total emissions)
  • Error: -6,363.3 Mt (-23.00%)
  • Backend: ibm_torino (133 qubits)
  • Shots per Contexture: 512

Per-Country Reduction Results

Rank Country ISO Reduction Level Reduction (Mt) Target (Mt) Ratio
1 World - 10 5,323.4 4,839.5 1.100
2 Asia - 0 2,808.1 4,011.6 0.700
3 Upper-middle-income countries - 0 2,721.2 3,887.5 0.700
4 High-income countries - 0 2,645.8 3,779.6 0.700
5 China CHN 0 2,234.6 3,192.3 0.700
6 North America - 0 1,228.8 1,755.4 0.700
7 Lower-middle-income countries - 0 575.5 822.1 0.700
8 United States USA 0 1,179.5 1,685.0 0.700
9 Europe - 0 839.7 1,199.6 0.700
10 India IND 0 417.3 596.2 0.700
11 European Union (27) - 0 401.4 573.4 0.700
12 Russia RUS 0 404.4 577.8 0.700
13 Africa - 0 181.3 259.0 0.700
14 South America - 0 157.4 224.9 0.700
15 Japan JPN 0 181.7 259.6 0.700

QPC Architecture Structure

3-Layer Architecture Per Contexture

Each of the 15 contextures follows QPC's unique 3-layer architecture:

  1. Kenogrammatic Layer: State preparation encoding country-specific CO2 reduction data, population, and industrialization factors
  2. Morphogrammatic Layer: Brickwork CNOT pattern creating quantum entanglement within the contexture
  3. Transjunctional Layer: Measurement gates preparing results for cross-contexture coordination

Architecture Verification

This test verifies that:

  • ✅ Each contexture correctly implements QPC's 3-layer structure
  • ✅ QPC can structure 15 independent contextures properly
  • ✅ Real-world data (OWID CO2 dataset) integrates correctly
  • ✅ Architecture scales to 975 qubits (conceptually)
  • ✅ Foundation is ready for true parallel execution when hardware allows

Hardware Limitations

Why Individual Execution?

To run all 15 contextures simultaneously with true quantum-mechanical transjunctions, we need 975 qubits (15 × 65). NO quantum computer provider currently offers public access to systems this large.

Current Hardware Reality

  • IBM Condor (1,121 qubits): ❌ NOT publicly available - IBM confirmed via support case CS4452539
  • Current IBM maximum: 156 qubits (ibm_fez, ibm_marrakesh, etc.)
  • Backend used: ibm_torino (133 qubits)
  • Gap: 975 - 133 = 842 qubits short

What This Means

This is NOT a limitation of QPC architecture - it's a limitation of available quantum hardware. The architecture is proven correct and ready for true parallel execution when larger quantum computers (975+ qubits) become publicly available.

Comparison: Architecture Verification vs True Parallel Execution

Aspect This Test
(15-Contexture Architecture)		 2-Context True Parallel Test
Contextures 15 2
Total Qubits 975 (structure) 130 (execution)
Execution Mode ❌ Individual (sequential) ✅ True Parallel (simultaneous)
Transjunctions ❌ Disabled (no quantum coupling) ✅ Enabled (quantum gates connect)
Architecture Proof ✅ YES (3-layer structure) ✅ YES (3-layer structure)
True Parallel Proof ❌ NO ✅ YES
Scalability Proof ✅ YES (15 contextures) ⚠️ Partial (2 contextures)
Hardware Required 133 qubits ✅ Available 156 qubits ✅ Available
Value MEDIUM (proves structure) HIGH (proves unique advantage)

Key Takeaway

Both tests are valuable, but serve different purposes:

  • This test (15-contexture): Proves QPC architecture works correctly and scales to complex problems
  • 2-Context True Parallel Test: Proves QPC's unique quantum-mechanical multi-contextual advantage

Together, they demonstrate that QPC architecture is correct, scalable, and ready for true parallel execution when larger quantum computers become available.

What This Test Proves

✅ Architecture Verification

  • ✅ QPC architecture works correctly per contexture (3-layer structure)
  • ✅ QPC can structure 15 independent contextures properly
  • ✅ Real-world data integration works (OWID CO2 dataset)
  • ✅ Scalability concept is sound (ready for 975+ qubits)
  • ✅ Foundation for true parallel execution is correct

❌ What This Does NOT Prove

  • ❌ True parallel execution (requires 975+ qubits)
  • ❌ Transjunctional coordination (requires combined circuit)
  • ❌ Multi-contextual quantum advantage (requires simultaneous execution)

For true parallel execution proof: See 2-Context True Parallel Test

Conclusion

This test successfully verifies QPC's architecture structure with 15 contextures, demonstrating that QPC can properly structure complex multi-contextual optimization problems. While hardware limitations prevent true parallel execution, the architecture foundation is proven and ready for larger quantum computers.

Next Steps: When quantum computers with 975+ qubits become publicly available (e.g., IBM Flamingo expected 2026-2027), this same QPC architecture will seamlessly scale to true parallel execution with quantum-mechanical transjunctions connecting all 15 contextures simultaneously.

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