contextuality 1.0.0

A package for computing contextuality related stuff

Contextuality package

This project is a starter project to have many tools to compute various quantities in measurement scenarios as defined by Abramsky and Brandenburger. It can be used in a variety of cases.

Install

To install the package from pypi you can simply run pip:

$ python -m pip install contextuality

Developers

If you wish to improve the package you can install from the sources with poetry:

$ poetry install --with dev

Documentation

The documentation can be compiled in the docs directory.

$ cd docs
$ make html

then navigate to docs/build/html and open index.html to access the documentation.

Usage example

from contextuality.measurement_scenario import MeasurementScenario
import numpy as np
from contextuality.empirical_model import EmpiricalModel
from contextuality.utils import compute_max_CF, compute_deterministic_fraction, compute_signaling_fraction, compute_NCF

X = [i for i in range(4)]
M = [[0, 2], [0, 3], [1, 2], [1, 3]]
O = [0, 1]
kcbs = MeasurementScenario(X, M, O)

meas = np.zeros((5, 2, 3, 3))  # shape = number mesurements, number of outcomes, dimension of state (d x d)
N = 1 / np.sqrt(1 + np.cos(np.pi / 5))
for i in range(5):
    vec = N * np.array([np.cos(4 * np.pi * i / 5), np.sin(4 * np.pi * i / 5), np.sqrt(np.cos(np.pi / 5))])
    meas[i][1] = np.outer(vec, vec)
    meas[i][0] = np.eye(3) - meas[i][1]

psi = np.array([0, 0, 1])
rho = np.outer(psi, psi)

empirical_model = EmpiricalModel(kcbs)
empirical_model.quantum_realisation(rho, meas)

result = compute_max_CF(kcbs, eta=0.3, sigma=0.5)

print(result['EmpiricalModel'].vector)

df = compute_deterministic_fraction(result["EmpiricalModel"], verbose=False)
print(df)
sf = compute_signaling_fraction(result["EmpiricalModel"], verbose=False)
print(sf)

CF_result = compute_NCF(result['EmpiricalModel'], verbose=False)

print(CF_result)

Notebooks

Examples in the form of notebooks can be found in the notebooks folder.

Credits

• Kim Vallée -- Author and main contributor
• Adel Sohbi -- Author

License

The CC BY-NC 4.0. Please see License File for more information.