Python Quantum Signal Sonification Demo: Simulated Data to Audio

This reproducible starter demonstrates quantum signal sonification using a synthetic, quantum-inspired measurement trace. It maps a simulated expectation-value time series to audio so the processing can be tested end to end. The data are generated classically; this example does not run a quantum computer, establish entanglement, or provide evidence of a biological or physical quantum signal.

What this demonstration does

• Creates a deterministic simulated trace bounded between -1 and +1.
• Maps the trace to pitch and amplitude using explicit, documented rules.
• Writes a WAV audio file that can be replayed and compared across runs.
• Provides simple checks for finite values, range, sample rate, and output duration.

Install requirements

python -m pip install numpy scipy

Runnable Python example

Save this as quantum_signal_sonification_demo.py and run it with Python 3.10 or newer. It creates simulated_quantum_signal.wav in the current directory.

import numpy as np
from scipy.io.wavfile import write
# Reproducible synthetic trace, not a real quantum measurement.
sample_rate = 44_100
duration_seconds = 8.0
n_points = 400
t = np.linspace(0.0, duration_seconds, n_points, endpoint=False)
# Illustrative bounded signal with a slow trend and oscillation.
signal = 0.65 * np.sin(2 * np.pi * 0.35 * t) + 0.25 * np.cos(2 * np.pi * 0.12 * t)
signal = np.clip(signal, -1.0, 1.0)
# Validation: finite data, expected range, and valid audio settings.
assert np.isfinite(signal).all(), "Signal contains NaN or infinity"
assert signal.min() >= -1.0 and signal.max() <= 1.0
assert sample_rate > 0 and duration_seconds > 0
# Piecewise-linear interpolation from the slow data trace to audio samples.
audio_t = np.arange(int(sample_rate * duration_seconds)) / sample_rate
trace_t = np.linspace(0.0, duration_seconds, n_points, endpoint=False)
mapped = np.interp(audio_t, trace_t, signal)
# Mapping rules:
#   signal -1..+1 -> tone frequency 220..880 Hz
#   absolute signal -> amplitude envelope 0.15..0.80
frequency = 220.0 + (mapped + 1.0) * 0.5 * (880.0 - 220.0)
amplitude = 0.15 + np.abs(mapped) * 0.65
# Integrate instantaneous frequency to create a continuous-phase tone.
phase = 2.0 * np.pi * np.cumsum(frequency) / sample_rate
audio = amplitude * np.sin(phase)
# Fade in/out to reduce clicks at the file boundaries.
fade_samples = int(0.02 * sample_rate)
fade = np.linspace(0.0, 1.0, fade_samples)
audio[:fade_samples] *= fade
audio[-fade_samples:] *= fade[::-1]
# Convert safely to signed 16-bit PCM and write a mono WAV file.
pcm = np.int16(np.clip(audio, -1.0, 1.0) * 32767)
write("simulated_quantum_signal.wav", sample_rate, pcm)
print(f"Wrote simulated_quantum_signal.wav ({duration_seconds:.1f} seconds)")
print(f"Input range: {signal.min():.3f} to {signal.max():.3f}")

Audio-mapping rules

Validation and reproducibility checklist

• Input integrity: verify all values are finite and within the documented range.
• Repeatability: the same script and library versions should produce the same synthetic input trace and mapping.
• Audio integrity: confirm the WAV sample rate, duration, channel count, and PCM range.
• Perceptual evaluation: compare multiple mappings and test whether listeners can reliably identify the changes being encoded.
• Controls: compare against shuffled, constant, and noise-only traces to detect patterns created by the mapping itself.
• Documentation: record code version, parameters, dependencies, input provenance, and any preprocessing.

Scientific limitations

This is a sonification software demonstration using simulated data. It is not a quantum simulator, does not calculate a quantum state, and cannot support conclusions about entanglement, quantum advantage, pineal activity, or biological quantum effects. For real research, replace the synthetic trace with documented measurement results or output from a validated quantum simulation, retain provenance and calibration details, and define controls and statistical tests before interpreting the sound. Sonification is a representation of data, not independent proof of the phenomenon represented.

Continue the 4realsy® research pathway

Read the Quantum Signal Sonification flagship research page, the Quantum Signal Translation, Validation, and Sonification Architecture, Quantum Data to Sound, What Is Quantum Sonification?, and Quantum Sonification Research & Applications.