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Package 24 — Qubit decoherence as UTAC threshold system (GenesisAeon Entropy Atlas)

Project description

quantum-genesis

Package 24 Whitepaper PyPI CI Python 3.11+ License: MIT Zenodo

Qubit decoherence as a UTAC threshold system — Package 24 of the GenesisAeon Entropy Atlas.

Models superconducting qubit decoherence via the CREP (Coherence–Resonance–Emergence–Poetics) framework, coupling the QEC threshold theorem to the Unified Threshold Adaptive Criticality (UTAC) system.

Central result: Γ_quantum ≈ 0.050 — qubits are the most fragile UTAC system in the Entropy Atlas (just above solar magnetic flares at Γ ≈ 0.014). This quantifies why quantum computing is extraordinarily difficult: any perturbation can cross the phase boundary.


CREP Criticality Spectrum — quantum-genesis in context

Domain Package Γ Note
Solar flare magnetic field P21 0.014 Ultra-sensitive
Cygnus X-1 jet P17 0.046 Hair-trigger
Qubit decoherence (T2) P24 0.050 ← quantum-genesis
Apoptosis ATP threshold P25 0.090 Cellular critical
Amazon rainforest P19 0.116 Ecological fragile
Neural criticality / AMOC P18/P20 0.251 Homeostatic universal

Physical Mapping to UTAC

H(t)  ← coherence fraction = (1 − p_error) ∈ [0, 1]
K     ← 1.0   (perfect coherence ceiling)
H*    ← 1 − p_threshold ≈ 0.999   (QEC phase boundary)
r     ← 0.10  (coherence improvement rate per generation)
σ     ← 2.2   (universal CREP coupling)

CREP tensor components:

Symbol Meaning
C Off-diagonal density matrix coherence |ρ₀₁|
R Proximity of error rate to QEC threshold (resonance at p_th)
E Logical vs. physical error rate ratio (emergent QEC benefit)
P Entropy of T1 distribution / logical depth efficiency

Phase transition: The QEC threshold at p_th ≈ 10⁻³ is the UTAC phase boundary. Below threshold → stable logical qubit. Above threshold → decoherence cascade. At threshold → information critical phase (Vijay & Lee 2026): fractional logical qubit preservation f ≈ 0.25.


Installation

pip install quantum-genesis
# or
uv add quantum-genesis

# Optional backends
pip install quantum-genesis[sim]   # stim + qiskit-ibm-runtime

Quickstart

from quantum_genesis import QuantumGenesis

qg = QuantumGenesis(t1_us=100.0)       # Google Willow reference T1

# Run 1000 QEC syndrome cycles
result = qg.run_cycle(n_syndrome_cycles=1000)
print(result)
# {'n_syndrome_cycles': 1000, 'crep': {'C': ..., 'R': ..., 'E': ..., 'P': ..., 'Gamma': 0.049...}, ...}

# Diamond interface
print(qg.get_crep_state())   # {C, R, E, P, Gamma}
print(qg.get_utac_state())   # {H, dH_dt, H_star, K_eff}
print(qg.get_phase_events()) # decoherence cascade events
print(qg.is_below_threshold())        # True
print(qg.logical_error_rate(d=7))     # surface code d=7
print(qg.gamma_quantum())             # ≈ 0.050

# Zenodo metadata record
record = qg.to_zenodo_record()

Diamond Interface Contract

All GenesisAeon packages implement this interface:

class QuantumGenesis:
    def run_cycle(self, n_syndrome_cycles: int = 1000) -> dict: ...
    def get_crep_state(self) -> dict:    # {C, R, E, P, Gamma}
    def get_utac_state(self) -> dict:    # {H, dH_dt, H_star, K_eff}
    def get_phase_events(self) -> list:  # logical error events
    def to_zenodo_record(self) -> dict:  # Zenodo-compatible metadata

Benchmark Targets

Metric Target Tolerance Source
QEC threshold [%] 0.100 ±0.03 Surface code theory
Google Willow T1 [µs] 100.0 ±30% Willow 2024
Logical depth L_d 1.615 ±0.05 Ibnouhsein 2025
R² (T1 from topology) 0.96 ±0.02 npj QI 2026
Γ_quantum 0.050 ±0.010 CREP calibration
Info. critical fraction 0.25 ±0.10 Vijay & Lee 2026

Run benchmarks:

from quantum_genesis.benchmark import run_benchmark, print_benchmark_report
results = run_benchmark()
print_benchmark_report(results)

Repository Structure

quantum-genesis/
├── src/quantum_genesis/
│   ├── system.py             # QuantumGenesis — Diamond interface
│   ├── qubit_model.py        # T1/T2 decay + TLS fluctuation model
│   ├── density_matrix.py     # Lindblad density matrix evolution
│   ├── qec_threshold.py      # Surface code threshold analysis
│   ├── toric_code.py         # Information critical phase (Vijay & Lee 2026)
│   ├── topology_features.py  # 14 graph features → T1 prediction (npj 2026)
│   ├── crep_quantum.py       # Quantum CREP tensor
│   ├── logical_depth.py      # Logical depth L_d (Ibnouhsein 2025)
│   ├── stim_interface.py     # stim surface code simulator (optional)
│   ├── benchmark.py          # Literature benchmark targets
│   └── constants.py
├── notebooks/
│   ├── 01_qubit_utac_overview.ipynb
│   ├── 02_qec_threshold_phase_transition.ipynb
│   ├── 03_information_critical_phase.ipynb
│   ├── 04_logical_depth_entropy.ipynb
│   └── 05_gamma_quantum_calibration.ipynb
├── data/
│   ├── ibm_quantum_t1_public.yaml
│   └── willow_2024_targets.yaml
└── src/diamond_setup/          # scaffold tool (diamond-setup v1.0.0)

References

  • Ibnouhsein 2025 — Thermodynamic signature of logical depth in quantum circuits. Foundations of Physics 55, 71. DOI: 10.1007/s10701-025-00883-w

  • npj Quantum Information 2026 — Machine learning decoherence from graph connectivity. DOI: 10.1038/s41534-026-01199-x R² > 0.96 for T1 prediction from 14 topological features.

  • Vijay & Lee 2026 — Decoherence enables information critical phases. Fractional topological memory in decohered Toric codes.

  • Google Willow 2024 — Below-threshold QEC demonstrated. Logical error rate decreases exponentially with code distance.

  • GenesisAeon WhitepaperDOI: 10.5281/zenodo.19645351

Falsifiable Prediction

As T1 improves toward 1 ms (next-generation qubits), Γ_quantum will increase from 0.050 toward 0.100, placing quantum systems in the "cellular critical" range — equivalent to the apoptosis ATP threshold (Package 25). Testable against IBM Quantum roadmap milestones (public).

Citation

DOI

DOI will be assigned automatically on first GitHub Release once Zenodo–GitHub integration is enabled for this repo. (The whitepaper DOI below, 10.5281/zenodo.19645351, already exists and documents the package's scientific model; the software-specific DOI is separate and versioned per release.)

@software{romer_quantum_genesis_2026,
  author    = {Römer, Johann and MOR Research Collective},
  title     = {quantum-genesis: Qubit Decoherence as UTAC Threshold System},
  year      = {2026},
  publisher = {Zenodo},
  version   = {0.1.0},
  doi       = {10.5281/zenodo.19645351},
  url       = {https://doi.org/10.5281/zenodo.19645351}
}

GenesisAeon Entropy Atlas · Package 24 of 30 · Johann Römer · MOR Research Collective · 2026

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