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.

Quantum PhononFreq/EntropyMeasure/QuantumCoherence physically plausible simulated data produced by the Python code above

,Date,PhononFreq,EntropyMeasure,QuantumCoherence
0,2024-01-01 00:00:00,40.39250298881908,0.0011477007043134235,0.95
1,2024-01-01 01:00:00,40.13355295357272,0.0027292595929697657,0.95
2,2024-01-01 02:00:00,40.68688218686175,0.003964852948724392,0.95
3,2024-01-01 03:00:00,40.32139308750856,0.005057379003724147,0.95
4,2024-01-01 04:00:00,40.10212479243401,0.006076915011453655,0.95
5,2024-01-01 05:00:00,41.073485386473315,0.007234907508416975,0.95
6,2024-01-01 06:00:00,40.57635591978251,0.008593717574052565,0.95
7,2024-01-01 07:00:00,40.3489528630897,0.008910016537343562,0.95
8,2024-01-01 08:00:00,40.89498684724439,0.009048127159417687,0.95
9,2024-01-01 09:00:00,41.52273723810755,0.00987882479528094,0.95
10,2024-01-01 10:00:00,40.75191548878149,0.009974929748540307,0.95
11,2024-01-01 11:00:00,40.837077784352665,0.010356356159438675,0.95
12,2024-01-01 12:00:00,39.80403499356968,0.010947706196942401,0.95
13,2024-01-01 13:00:00,40.653189694467486,0.012487854291102945,0.95
14,2024-01-01 14:00:00,41.204106404002616,0.013799690758169184,0.95
15,2024-01-01 15:00:00,40.45934203541493,0.014374952454600977,0.949484839563527
16,2024-01-01 16:00:00,40.707627610424424,0.015114716001354675,0.9390472559738924
17,2024-01-01 17:00:00,41.490742638880256,0.01579450348552698,0.9290302275272703
18,2024-01-01 18:00:00,40.800560022277516,0.017334237969272862,0.9198643331867681
19,2024-01-01 19:00:00,40.62610470823962,0.019108638273557906,0.9119432361990956
20,2024-01-01 20:00:00,40.34031197963291,0.01926952377705468,0.9056066295392208
21,2024-01-01 21:00:00,40.99715233303333,0.02212657786976089,0.9011255213377334
22,2024-01-01 22:00:00,40.89073834336905,0.02487618548095515,0.8986904976858636
23,2024-01-01 23:00:00,40.98475983279973,0.026730845680246015,0.8984034711486115
24,2024-01-02 00:00:00,40.567693416521244,0.027154554703725586,0.9002732722364737
25,2024-01-02 01:00:00,41.4547206907541,0.027962402748889562,0.9042152745390556
26,2024-01-02 02:00:00,40.79304514656146,0.029401977268134056,0.9100550694272633
27,2024-01-02 03:00:00,41.31957979587099,0.029967321074424312,0.9175360307595177
28,2024-01-02 04:00:00,41.11015130997424,0.032361653870592214,0.9263304414848319
29,2024-01-02 05:00:00,40.86209123027344,0.03344419187245194,0.936053699724108
30,2024-01-02 06:00:00,41.56486068183719,0.034429187199468296,0.9462809885158396
31,2024-01-02 07:00:00,40.472293374927204,0.03464493381679507,0.95
32,2024-01-02 08:00:00,40.891085581063365,0.034974266605456314,0.95
33,2024-01-02 09:00:00,40.31609399839509,0.03665419728172701,0.95
34,2024-01-02 10:00:00,41.55273408958601,0.03828264878569995,0.95
35,2024-01-02 11:00:00,41.980738440645524,0.0384392156631635,0.95
36,2024-01-02 12:00:00,41.42757271058768,0.0393132238189301,0.95
37,2024-01-02 13:00:00,41.77254601544172,0.03994955893558719,0.95
38,2024-01-02 14:00:00,41.755076308821614,0.040463503844703055,0.95
39,2024-01-02 15:00:00,42.40939164038653,0.04093467000868365,0.95
40,2024-01-02 16:00:00,41.159755859741054,0.041106867638249174,0.95
41,2024-01-02 17:00:00,41.431123000968554,0.04285974852380576,0.95
42,2024-01-02 18:00:00,42.35426666480439,0.04465338298252471,0.95
43,2024-01-02 19:00:00,42.397845750687814,0.04626620371879787,0.95
44,2024-01-02 20:00:00,42.22729781531172,0.04689953591662449,0.95
45,2024-01-02 21:00:00,41.381927376311836,0.04710577038693259,0.9484559621626943
46,2024-01-02 22:00:00,42.017749848044566,0.048735356872172564,0.9380098593941166
47,2024-01-02 23:00:00,42.195127151209874,0.04924351142395657,0.9279265164220423
48,2024-01-03 00:00:00,42.11255347265896,0.05028005511514904,0.9186393990440472
49,2024-01-03 01:00:00,42.200070076851546,0.05152444534006869,0.9105474363143679
50,2024-01-03 02:00:00,41.63597480002456,0.051951848043991354,0.9039977376199237
51,2024-01-03 03:00:00,42.01796680838576,0.052893093472495996,0.8992705565712764
52,2024-01-03 04:00:00,42.21579352997714,0.0531576872480565,0.8965671530435955
53,2024-01-03 05:00:00,42.526560214174566,0.053202203840837015,0.8960010790700003
54,2024-01-03 06:00:00,42.44693234124158,0.054107684632130226,0.8975932658884889
55,2024-01-03 07:00:00,41.76209576804174,0.05479172340269089,0.9012711247062172
56,2024-01-03 08:00:00,41.898892114404525,0.056574244030063496,0.9068716998106842
57,2024-01-03 09:00:00,41.56504301736622,0.056983847477421204,0.9141487370638463
58,2024-01-03 10:00:00,42.30305633860018,0.05893755551469564,0.9227833611710142
59,2024-01-03 11:00:00,41.57790354193651,0.06009649994635354,0.9323978987718616
60,2024-01-03 12:00:00,42.01895384775593,0.06126150559223528,0.9425722481293738
61,2024-01-03 13:00:00,43.045592023573874,0.0630917252319542,0.95
62,2024-01-03 14:00:00,42.82626352496245,0.0633682479355347,0.95
63,2024-01-03 15:00:00,42.618678499180696,0.06420420033395893,0.95
64,2024-01-03 16:00:00,43.11179830148848,0.06476963178800911,0.95
65,2024-01-03 17:00:00,42.38504186336585,0.06525934720739798,0.95
66,2024-01-03 18:00:00,42.75104953350555,0.06585387979561871,0.95
67,2024-01-03 19:00:00,42.49647902121829,0.06827631518662221,0.95
68,2024-01-03 20:00:00,42.66941491425827,0.070595411143696,0.95
69,2024-01-03 21:00:00,43.22224684669228,0.07316605391655241,0.95
70,2024-01-03 22:00:00,42.226730411945496,0.0758821644684989,0.95
71,2024-01-03 23:00:00,41.873479367490965,0.07725994731296873,0.95
72,2024-01-04 00:00:00,43.84008398886974,0.07739864085089516,0.95
73,2024-01-04 01:00:00,43.18741431058358,0.07744330467530904,0.95
74,2024-01-04 02:00:00,43.1723692784722,0.07823272880349583,0.95
75,2024-01-04 03:00:00,42.861882988613104,0.07888991914591939,0.9474281936012411
76,2024-01-04 04:00:00,42.4545574363748,0.0790691508005866,0.9369811172929251
77,2024-01-04 05:00:00,43.63586558267706,0.08062533649025745,0.9268388866052593
78,2024-01-04 06:00:00,43.46432217494525,0.08182750285273159,0.9174375323512197
79,2024-01-04 07:00:00,43.207564682933054,0.08290484928102168,0.9091809466938735
80,2024-01-04 08:00:00,43.39729396995556,0.08418124031820684,0.9024233849682646
81,2024-01-04 09:00:00,42.510757799845315,0.08523708237089615,0.8974541197526225
82,2024-01-04 10:00:00,43.149756358306135,0.08567287364994434,0.8944849119565018
83,2024-01-04 11:00:00,43.51589721990308,0.08577809294564562,0.8936408415751821
84,2024-01-04 12:00:00,43.632746510245404,0.0871007105833458,0.8949548951383026
85,2024-01-04 13:00:00,43.30770542354371,0.08837256037486135,0.8983665440680566
86,2024-01-04 14:00:00,42.986186080242724,0.08850112701136667,0.9037243752145336
87,2024-01-04 15:00:00,43.2783102249114,0.08974280708696979,0.9107926592477338
88,2024-01-04 16:00:00,43.79720674965197,0.09017485676227441,0.9192615719659155
89,2024-01-04 17:00:00,44.04166576225787,0.091754625377216,0.9287606253209365
90,2024-01-04 18:00:00,44.47848574826236,0.09385816083942412,0.9388747259194925
91,2024-01-04 19:00:00,42.777830490506496,0.09536935875544232,0.9491621649578256
92,2024-01-04 20:00:00,44.291247621626205,0.09626428581904403,0.95
93,2024-01-04 21:00:00,43.849596563465944,0.09696539676480896,0.95
94,2024-01-04 22:00:00,43.674252022860884,0.09735653363754206,0.95
95,2024-01-04 23:00:00,43.76642805337714,0.0974461762227604,0.95
96,2024-01-05 00:00:00,43.09659541723439,0.09749982755564955,0.95
97,2024-01-05 01:00:00,43.835495773746125,0.09760784334091664,0.95
98,2024-01-05 02:00:00,43.61557169161067,0.09793789004227138,0.95
99,2024-01-05 03:00:00,44.02596081131882,0.09854464631198619,0.95
100,2024-01-05 04:00:00,44.5863833790912,0.09875736632956637,0.95
101,2024-01-05 05:00:00,43.97148718995081,0.09992124205633827,0.95
102,2024-01-05 06:00:00,43.97496779482135,0.1002978905673943,0.95
103,2024-01-05 07:00:00,43.92742001665268,0.10068129689786776,0.95
104,2024-01-05 08:00:00,43.66529359893776,0.10185236985013481,0.95
105,2024-01-05 09:00:00,44.0057469616641,0.10204914441444765,0.9464005601933486
106,2024-01-05 10:00:00,44.69932009385716,0.10224416611115086,0.9359600379749167
107,2024-01-05 11:00:00,43.982288168368584,0.10404553729230878,0.925766370702274
108,2024-01-05 12:00:00,43.80734586619333,0.10417901473446366,0.9162578313274198
109,2024-01-05 13:00:00,43.7140330719088,0.10523011092842166,0.9078429695779533
110,2024-01-05 14:00:00,44.78803511049878,0.1062977562922785,0.9008829117627721
111,2024-01-05 15:00:00,44.214518281606054,0.10648442233984323,0.895675716935759
112,2024-01-05 16:00:00,44.27885038993996,0.10696749556506817,0.8924434671015516
113,2024-01-05 17:00:00,44.91243687563349,0.10748299675796236,0.8913226506234831
114,2024-01-05 18:00:00,43.97704221984838,0.10805183356859106,0.8923582552509624
115,2024-01-05 19:00:00,44.87201822000372,0.10825853153244347,0.8955018264090805
116,2024-01-05 20:00:00,44.57952694065296,0.10885243685921403,0.9006135745550168
117,2024-01-05 21:00:00,44.36593741076702,0.10897373429105987,0.9074684399506392
118,2024-01-05 22:00:00,44.669150218346175,0.11062664572403264,0.9157658517314299
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139,2024-01-06 19:00:00,45.13059122718337,0.13173950985076346,0.9065326927964775
140,2024-01-06 20:00:00,44.5271830747253,0.13184590028166865,0.8993756395311315
141,2024-01-06 21:00:00,45.65531000829593,0.13193330087680732,0.8939348320935648
142,2024-01-06 22:00:00,45.58012971348419,0.13195542583321979,0.8904424866030175
143,2024-01-06 23:00:00,45.50193540103849,0.13304349552534342,0.8890463722156352
144,2024-01-07 00:00:00,45.94815300262143,0.133809850644845,0.8898034152535427
145,2024-01-07 01:00:00,44.69732756457309,0.13481932569819852,0.8926772401349765
146,2024-01-07 02:00:00,46.208551388505015,0.13605397511490078,0.8975397533298813
147,2024-01-07 03:00:00,46.43612259516429,0.1379027151724996,0.9041767013701001
148,2024-01-07 04:00:00,45.05682342368729,0.14038304521824943,0.9122969617511791
149,2024-01-07 05:00:00,44.71786015186186,0.14096016512197654,0.9215451638347766
150,2024-01-07 06:00:00,46.18771913272517,0.14143605527159747,0.9315170926035986
151,2024-01-07 07:00:00,44.88919610315311,0.14340640223878406,0.9417772075839679
152,2024-01-07 08:00:00,44.7698565511663,0.14416444019375527,0.95
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906,2024-02-07 18:00:00,41.55120656137509,0.9047716540127598,0.9015034975063976
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