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.