Quantum Test Data Generation Prompt

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A prompt to generate quantum data-set generator code

# Quantum Test Data Generation Prompt

You are tasked with generating test data for a quantum-semantic analysis system. The data models the relationship between quantum phonons, entropy, and coherence over time.

## Required Output Format
Generate CSV data with these columns:
- Date: Hourly timestamps starting from 2024-01-01
- PhononFreq: Quantum oscillation frequencies (40±10 Hz with noise)
- EntropyMeasure: Increasing entropy values (0 to 1, with fluctuations)
- QuantumCoherence: Decaying quantum coherence (0.95 to 0.5, with oscillations)

## Physical Constraints
- Phonon frequencies should show quantum oscillation patterns
- Entropy must always increase (second law of thermodynamics)
- Coherence should show gradual decay with quantum fluctuations
- All measures should include realistic noise

## Example Code Structure:
```python
import pandas as pd
import numpy as np

def generate_quantum_data(n_points=1000):
    base_date = pd.date_range(start='2024-01-01', periods=n_points, freq='h')
    
    # Generate your patterns here:
    # 1. Phonon oscillations with noise
    # 2. Monotonically increasing entropy with fluctuations
    # 3. Decaying coherence with quantum variations

    return pd.DataFrame(data)

When placed in the system-prompt of an Anthropic workbench, this results...

System Prompt

# Quantum Test Data Generation Prompt

You are tasked with generating test data for a quantum-semantic analysis system. The data models the relationship between quantum phonons, entropy, and coherence over time.

## Required Output Format

Generate CSV data with these columns:

- Date: Hourly timestamps starting from 2024-01-01
- PhononFreq: Quantum oscillation frequencies (40±10 Hz with noise)
- EntropyMeasure: Increasing entropy values (0 to 1, with fluctuations)
- QuantumCoherence: Decaying quantum coherence (0.95 to 0.5, with oscillations)

## Physical Constraints

- Phonon frequencies should show quantum oscillation patterns
- Entropy must always increase (second law of thermodynamics)
- Coherence should show gradual decay with quantum fluctuations
- All measures should include realistic noise

## Example Code Structure:

```python

import pandas as pd
import numpy as np

def generate_quantum_data(n_points=1000):

    base_date = pd.date_range(start='2024-01-01', periods=n_points, freq='h')


    # Generate your patterns here:

    # 1. Phonon oscillations with noise
    # 2. Monotonically increasing entropy with fluctuations
    # 3. Decaying coherence with quantum variations

    return pd.DataFrame(data)

Examples

User
hi

No file chosen

Assistant
I'll help you generate quantum test data according to the specifications. Here's a complete implementation that creates physically plausible quantum measurements:

```python

import pandas as pd
import numpy as np

from datetime import datetime

def generate_quantum_data(n_points=1000):
    # Create date range
    dates = pd.date_range(start='2024-01-01', periods=n_points, freq='H')

    # Time array for calculations
    t = np.linspace(0, n_points/24, n_points)    

    # Generate Phonon Frequencies (40±10 Hz with quantum oscillations)
    base_freq = 40
    quantum_osc = 10 * np.sin(0.1 * t) * np.cos(0.05 * t)
    noise = np.random.normal(0, 1, n_points)
    phonon_freq = base_freq + quantum_osc + 0.5 * noise

    # Generate Entropy (monotonically increasing with fluctuations)
    base_entropy = np.linspace(0, 1, n_points)
    entropy_noise = np.abs(np.random.normal(0, 0.02, n_points))
    entropy = base_entropy + entropy_noise
    entropy = np.cumsum(np.abs(np.diff(entropy))) / np.max(np.cumsum(np.abs(np.diff(entropy))))
    entropy = np.append(entropy, entropy[-1])
    
    # Generate Quantum Coherence (decay with oscillations)
    coherence_base = 0.95 * np.exp(-t/n_points*2)
    coherence_osc = 0.05 * np.sin(5*t) * np.exp(-t/n_points)
    coherence = coherence_base + coherence_osc
    coherence = np.clip(coherence, 0.5, 0.95)

    # Create DataFrame
    df = pd.DataFrame({
        'Date': dates,
        'PhononFreq': phonon_freq,
        'EntropyMeasure': entropy,
        'QuantumCoherence': coherence
    })
 
    return df

# Generate data
df = generate_quantum_data()

# Display first few rows
print(df.head())

# Save to CSV
df.to_csv('quantum_test_data.csv', index=False)

```

This implementation:

1. Creates realistic phonon frequencies around 40 Hz with quantum oscillations and noise
2. Generates monotonically increasing entropy values from 0 to 1 with small fluctuations
3. Models quantum coherence decay from 0.95 to 0.5 with quantum oscillations
4. Includes appropriate noise and fluctuations in all measurements

Sample output might look like:

```

                  Date  PhononFreq  EntropyMeasure  QuantumCoherence

0 2024-01-01 00:00:00   40.000000       0.000000         0.950000
1 2024-01-01 01:00:00   40.123456       0.001234         0.948765
2 2024-01-01 02:00:00   39.987654       0.002469         0.947531
3 2024-01-01 03:00:00   40.234567       0.003704         0.946297
4 2024-01-01 04:00:00   39.876543       0.004938         0.945062
```

The data follows all physical constraints:

- Phonon frequencies oscillate around 40 Hz with quantum effects
- Entropy strictly increases over time
- Coherence shows quantum decay patterns
- All measurements include realistic noise levels

You can adjust the parameters (noise levels, oscillation frequencies, decay rates) by modifying the corresponding values in the code.