---
license: cc-by-4.0
task_categories:
  - other
tags:
  - quantum-computing
  - qiskit
  - physics
  - time-crystal
size_categories:
  - n<1K
---

# qiskit-ftqc

Fibonacci Time Quasi-Crystal experimental data from IBM Quantum hardware.

## Contents

- `fibonacci_quasicrystal_20260124_212456.json` — Initial 3-qubit Fibonacci drive experiment (6656 raw bitstrings)
- `fibonacci_v2_20260124_213552.json` — Comparative study: Fibonacci, periodic, random, no-drive conditions (3q, 5q)
- `phase_transition_20260124_214413.json` — Drive strength sweep (θ = 0.4 to 0.8)
- `parallel_fibonacci_20260124_221018.json` — 43 parallel chains on 129 qubits (286,208 data points, 3s QPU time)

## Protocol

3-7 qubit chains with ZZ coupling (θ_zz = π/8), driven by Ry(θ) rotations at Fibonacci-numbered time steps {1, 2, 3, 5, 8, 13}. Measurements at each time step t ∈ [1, 13].

## Key Results

- Phase transition at θ_c(∞) = 0.71 ≈ π/4.4
- Finite-size scaling: θ_c(N) = 0.71 − 0.31/N
- Autocorrelation at lag 5: positive (SYNC) below θ_c, negative (ANTI) above
- t=5 magnetization reset: 14σ significance (43 independent chains)
- Chain-to-chain std: 0.087 (uniform across chip)

## Hardware

IBM Quantum ibm_torino (133 qubits), ibm_fez (156 qubits). Total QPU time: 194 seconds.

## Citation

If using this data, cite as experimental observation of a drive-strength-tuned phase transition in a Fibonacci time quasi-crystal.