Where Quantum Genesis rarity comes from: entropy, color, and phase
Once the last circuit had run and the metadata was pinned, I still had to face the step I'd been dreading: rarity. In most collections, that's where someone on the team opens a spreadsheet and decides which traits are rare — often after the mint has already happened. I wanted no part of that, and luckily the pipeline we'd built left us no room to do it even if we'd wanted to.
Every rarity attribute in Quantum Genesis is a derived quantity. It's computed from the measurement distribution itself, written into the metadata before anything went on-chain, and it's not editable afterward — not even by us. This post goes through what the numbers actually did: where the entropy scores landed, which color harmonies the seed's first outputs picked, how the phase attribute came to exist, and which ten pieces rose to the top of the composite ranking.
The one thing we never assigned
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 pieces are rare — quantum mechanics did. Rarity here is verifiable, immutable, and impossible to manipulate, even by us.
Entropy score (0–100): the primary 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 |
The number worth pausing on: only 3 pieces reached "Maximum" (95+). These are the statistical outliers — the closest to perfect quantum superposition that we measured across both processors in this batch.
Color harmony: what the seed's first outputs chose
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 the rarest at 10% — the RNG has to land inside a narrow hue window. Tetradic (15%) requires two precise complementary pairs. Both are visually distinct and mathematically constrained.
Quantum phase: the signal nobody planned for
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. It represents a transitional coherence state that occurs when the circuit hovers between the entangled and decoherent regimes. Those 7 pieces are physically unusual: they capture a fleeting quantum transition.
Processor origin: two vendors, three chips
Hardware origin is baked into the NFT metadata and provenance:
- Origin Quantum WK_C180 (NFTs #1–18): 18% of the collection. Chinese quantum processor, 8,000 shots. A provenance that's hard to overstate — these are among the first NFTs ever generated on a Chinese quantum processor.
- IBM ibm_fez (NFTs #19–70): 52% of the collection. 156 qubits, 4,096 shots. Production-grade stability across the middle of the batch.
- IBM ibm_torino (NFTs #71–100): 30% of the collection. 133 qubits, 4,096 shots. Different topology, different noise profile.
Composite 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) plus the rarest harmony (Analogous), the rarest phase (Mixed), on a production IBM processor. One of 100.
The useful thing here is that none of this required faith. Anyone can reproduce this ranking — take the seed from a piece's metadata, run the open-source generator (the pipeline is documented in the infrastructure post), and get the identical SVG. If the art matches, the ranking is just arithmetic on top of a measurement. If you run a few seeds and want to compare notes on which phase or harmony you prefer, I'd be glad to hear it.
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