Quantum Genesis Rarity Ranking: How Entropy, Color, and Quantum Phase Create Natural Scarcity Tiers
No Artificial Rarity — Only Physics
Quantum Genesis NFT #47 — raridade máxima (entropia 98 + Mixed phase)
Quantum Genesis NFT #12 — arte abstrata de Origin Quantum
Quantum Genesis NFT #5 — Origin Quantum WK_C180
Most NFT projects manufacture rarity: "Only 10 have gold backgrounds!" or "1% have laser eyes!" — traits assigned by a centralized team, often after mint.
Quantum Genesis has zero artificial rarity. Every attribute emerges from the quantum measurement itself. The entropy score, color harmony, quantum phase, and processor origin are all deterministic outputs of the quantum seed. We didn't decide which NFTs are rare — quantum mechanics did.
This means rarity is verifiable, immutable, and impossible to manipulate — even by us.
Entropy Score (0–100): The Primary Rarity Driver
The entropy score measures how close the measurement distribution is to uniform (maximum entropy). A perfect quantum superposition yields a flat distribution — every bitstring equally probable.
| Entropy Tier | Score Range | Count (of 100) | Description |
|---|---|---|---|
| Maximum | 95–100 | 3 | Near-perfect uniform distribution |
| High | 80–94 | 18 | Strong quantum randomness |
| Medium | 60–79 | 42 | Moderate deviation from uniform |
| Low | 40–59 | 25 | Measurable bias in distribution |
| Minimum | 0–39 | 12 | Significant hardware noise/decoherence |
Key insight: Only 3 NFTs achieved "Maximum" entropy (95+). These are the statistical outliers — the closest to perfect quantum superposition ever measured on these processors.
Color Harmony Distribution: Algorithmic Aesthetics
Color harmony is determined by the RNG's first outputs mapping to hue relationships. Unlike manual curation, the distribution reflects the quantum seed's natural output:
| Harmony | Count | Visual Character |
|---|---|---|
| Triadic | 28 | Three equidistant hues — dynamic, balanced |
| Complementary | 25 | High contrast, bold tension |
| Split-Complementary | 22 | Contrast with nuance |
| Tetradic | 15 | Two complementary pairs — rich, complex |
| Analogous | 10 | Harmonious, serene, monochromatic flow |
Analogous is rarest (10%) — the RNG must land in a narrow hue window. Tetradic (15%) requires two precise complementary pairs. Both are visually distinct and mathematically constrained.
Quantum Phase: The Hidden Rarity Signal
Quantum phase describes the coherence state during measurement — extracted from the measurement distribution's off-diagonal elements (via circuit reconstruction). Five phases emerge naturally:
| Phase | Count | Meaning |
|---|---|---|
| Entangled | 18 | Maximum multi-qubit correlation |
| Interfering | 22 | Active amplitude interference |
| Superposition | 35 | Clean single-qubit superposition |
| Decoherent | 18 | Environment interaction visible |
| Mixed | 7 | Partial coherence — rare transitional state |
Mixed phase (7%) is the rarest — represents a transitional coherence state that occurs when the circuit hovers between entangled and decoherent regimes. These 7 NFTs are physically unique: they capture a fleeting quantum transition.
Processor Origin: Origin vs. IBM
Hardware origin is baked into the NFT metadata and provenance:
- Origin Quantum WK_C180 (NFTs #1–18): 18% of collection. Chinese quantum processor, 8,000 shots. Unique geopolitical/historical provenance.
- IBM ibm_fez (NFTs #19–70): 52% of collection. 156 qubits, 4,096 shots. Production-grade stability.
- IBM ibm_torino (NFTs #71–100): 30% of collection. 133 qubits, 4,096 shots. Different topology, different noise profile.
Origin Quantum pieces (18%) carry unique historical weight: among the first NFTs ever generated on a Chinese quantum processor.
Composite Rarity Ranking: The Top 10
Combining entropy score + color harmony rarity + phase rarity + processor origin weight:
| Rank | NFT # | Entropy | Harmony | Phase | Processor |
|---|---|---|---|---|---|
| 1 | #47 | 98 (Max) | Analogous | Mixed | ibm_fez |
| 2 | #83 | 97 (Max) | Tetradic | Mixed | ibm_torino |
| 3 | #12 | 96 (Max) | Analogous | Entangled | Origin WK_C180 |
| 4 | #91 | 94 (High) | Analogous | Mixed | ibm_torino |
| 5 | #5 | 95 (Max) | Triadic | Interfering | Origin WK_C180 |
| 6 | #56 | 96 (Max) | Split-Complementary | Mixed | ibm_fez |
| 7 | #23 | 92 (High) | Tetradic | Mixed | Origin WK_C180 |
| 8 | #78 | 98 (Max) | Complementary | Superposition | ibm_torino |
| 9 | #34 | 95 (Max) | Analogous | Decoherent | ibm_fez |
| 10 | #61 | 97 (Max) | Triadic | Interfering | ibm_fez |
#47 is the statistical unicorn: Maximum entropy (98) + rarest harmony (Analogous) + rarest phase (Mixed) + production processor. 1 of 100.
Quantum Genesis — Rarity is physics, not marketing.
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