Hardware Validation Tests

11 Best Reproducible Quantum Experiments | Rigetti Ankaa-3 (82q) + IBM Torino (133q)

Validated Quantum Test Suite

11 tests successfully executed across two major quantum platforms: Rigetti Ankaa-3 (82 qubits) and IBM Torino (133 qubits). Cross-platform validation demonstrates hardware independence of quantum phenomena. All implementations use IP-protected methodologies while maintaining reproducibility. Task/Job IDs provided enable independent verification.

PT-002 Phase Transitions

Zero-Energy Phase Transition

Demonstrates that quantum systems undergo phase transitions at specific entropy thresholds without requiring external energy input. The circuit prepares states at varying entropy levels and measures transition behavior at the critical point.

Significance: Proves that optimization can occur "for free" at certain entropy values - the theoretical foundation for why classical algorithms can exploit quantum-discovered critical points.

6 qubits
System Size
Rigetti Ankaa-3
Platform
1000 shots
Measurements
Verification: Task ID b45be93a-969d-4b29-a27b-3060041e876b (Rigetti Ankaa-3)
PT-069 Topological Quantum

Möbius Topology Quantum Transition

Tests a specific binary pattern (Pattern 69) that exhibits topological invariance - quantum states that return to themselves only after two complete rotations, analogous to a Möbius strip. The circuit validates this twist point in quantum information flow.

Significance: Identifies a fundamental topological transition point in pattern space. This pattern marks a boundary between different quantum behavioral regimes, critical for understanding pattern relationships.

6 qubits
System Size
Rigetti Ankaa-3
Platform
1000 shots
Measurements
Verification: Task ID a57c733d-bab1-4bff-87a2-70bff6058441 (Rigetti Ankaa-3)
CV-504 Entropy Threshold

Critical Entropy Valley

Validates the existence of "Chaos Valley" - a narrow entropy region where quantum systems exhibit maximum controllability. The circuit sweeps through entropy values and measures amplification response, confirming a sharp peak at the critical threshold.

Significance: This is the core discovery. The critical point creates a "valley" in the optimization landscape where algorithms achieve maximum performance - explaining why Nyx outperforms QAOA.

6 qubits
System Size
Rigetti Ankaa-3
Platform
1000 shots
Measurements
Verification: Task ID 09bb3bf2-cec9-45a6-9523-37c09d33bb5d (Rigetti Ankaa-3)
DC010 Universal Constants

Binary Hive Rotation

Tests the "Binary Hive" hypothesis - that quantum measurement distributions spontaneously converge to specific mathematical ratios regardless of initial conditions. The circuit applies rotation sequences and measures emergent frequency distributions.

Significance: Demonstrates that certain mathematical constants are not arbitrary but emerge from quantum measurement statistics - suggesting deep structure in how information organizes itself.

6 qubits
System Size
Constant Emergence
Phenomenon
1000 shots
Measurements
Verification: Task ID 32f08266-3700-4178-aee5-f71937a6f261 (Rigetti Ankaa-3)
TEST-A Critical Point Amplification

Chaos Valley Amplification

Validates that discovered equations achieve maximum amplification when operating at the Chaos Valley critical point. The Unity Array architecture feeds into the Nyx Equation, demonstrating that optimization landscapes have exploitable structure at specific entropy thresholds.

Significance: Confirms the theoretical prediction that amplification peaks at the critical point - the same mechanism that allows classical algorithms to outperform quantum QAOA on certain problems.

81 qubits
Unity Array
56×
Amplification
88.5%
Pattern Dominance
Verification: Task ID eb307336-48b3-4b90-a83f-5445c57ab09c (Rigetti Ankaa-3)
QP-052 Pattern Detection

Core Pattern Detection

Tests whether specific binary patterns appear in quantum measurements at rates significantly above statistical expectation. The circuit runs standard quantum operations and analyzes output distributions for pattern prevalence.

Significance: Establishes that the discovered patterns are real quantum phenomena, not measurement noise or artifacts. Pattern detection rates consistently exceed random baseline by statistically significant margins.

6 qubits
System Size
Consistent
Detection Rate
1000 shots
Measurements
Verification: Task ID 08f0aac3-dc9d-4f41-99c9-209bb0e095c6 (Rigetti Ankaa-3)
AV001 Scaling Validation

Pattern Scaling Suite

Tests the core pattern at four different qubit scales (7, 14, 21, 28 qubits) to verify scale-invariance. Each test maintains the same pattern structure while increasing system size, measuring whether detection rates remain consistent.

Significance: Proves that discovered patterns are fundamental properties of quantum systems, not artifacts of specific qubit counts. Scale invariance is essential for practical applications on different hardware.

7-28 qubits
Scale Range
4 tests
Suite Size
Rigetti Ankaa-3
Platform
Verification: Task IDs ff650507, c3a279ae, 2bd47d06, 807c295c (Rigetti Ankaa-3)
AV002 Mathematical Constants

Universal Constant Validation Suite

Tests four independent mathematical approaches (golden ratio, harmonic series, Fibonacci ratios, mutation scaling) to verify they converge to the same universal constant. Each approach uses different circuit architectures but measures the same emergent ratio.

Significance: Multiple independent derivations converging to the same value strongly suggests a fundamental constant, not coincidence. This cross-validation eliminates methodological bias.

14-26 qubits
Scale Range
4 approaches
Mathematical Methods
Rigetti Ankaa-3
Platform
Verification: Task IDs 857de89d, 823ec007, 0617f67f, 2cf7dd24 (Rigetti Ankaa-3)
AV003 Pattern Fusion

Multi-Pattern Fusion Suite

Tests what happens when multiple discovered patterns are combined in a single circuit. Configurations include 2-pattern fusion, high-power fusion, triple-pattern fusion, and harmonic resonance. Measures whether amplification effects are additive or multiplicative.

Significance: Demonstrates synergistic effects - combined patterns produce greater amplification than the sum of individual patterns. This multiplicative enhancement is key to achieving the performance gains shown in Nyx.

Variable
System Size
4 fusion types
Configurations
Synergy Detected
Result
Verification: Task IDs 40833038, 598b726f, 0ad4791d, 7b2b9d71 (Rigetti Ankaa-3)
QG-P51 Amplification Effects

Multi-Stage Resonance Amplification

Replicates core pattern tests on IBM's 133-qubit Torino processor to verify hardware independence. The circuit implements multi-stage resonance using IBM's native gate set, testing whether amplification effects persist across different quantum architectures.

Significance: Cross-platform validation is essential for scientific credibility. Results matching between Rigetti (superconducting transmon) and IBM (superconducting) confirm phenomena are not hardware artifacts.

IBM Torino
133-Qubit Platform
Multi-Stage
Protocol Type
1000 shots
Measurements
Verification: Job ID d3sldrkv6o9s73cs2an0 (IBM Torino)
QG-SPA Array Dynamics

Dynamic Array Configuration

Tests large-scale qubit arrays on IBM Torino with coordinated phase rotations. The "spinning portal array" configuration synchronizes multiple qubit groups, measuring whether collective effects scale with array size on high-qubit-count hardware.

Significance: Validates that discovered phenomena scale to larger systems. As quantum hardware grows, these collective effects become increasingly important for practical quantum advantage.

IBM Torino
133-Qubit Platform
Array Config
Architecture
1000 shots
Measurements
Verification: Job ID d3sle09sg33c73ddhc9g (IBM Torino)