QC/Orthonormal Basis Using Python2.py at master · domingomartinezstem/QC · GitHub

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# -*- coding: utf-8 -*-
"""
Created on Tue Jul  2 14:36:08 2019

@author: domin
"""

from numpy import sin, cos
import numpy as np
import matplotlib.pyplot as plt
import random

def unitvec():
    u1=random.random()
    u1a=u1*u1
    u2=np.sqrt(1-u1a)
    return u1, u2
u1,u2=unitvec()
S1=u1*u1
S2=u2*u2

q1,q2 =unitvec()
#print(u1,u2)
#print(S1+S2)
#print()

def basisvec(u1,u2):
    x1=1/np.sqrt(np.square(-u1/u2) +1)
    x2=-(u1/u2)*x1
    return x1, x2

x1,x2=basisvec(u1,u2)
R1=x1*x1
R2=x2*x2
#print(x1,x2)
#print(R1+R2)
Qstate=np.array([[q1],[q2]])
print(Qstate)


originx=0
originy=0

basis1 = np.array([[originx, originy, u1, u2]])
basis2 = np.array([[originx, originy, x1, x2]])
Qubit1 = np.array([[originx, originy, q1, q2]])


X, Y, U, V = zip(*basis1)
X2, Y2, U2, V2 = zip(*basis2)
X3, Y3, U3, V3 = zip(*Qubit1)

plt.figure(figsize=(10,10))
ax = plt.gca()
ax.quiver(X, Y, U, V, angles='xy', scale_units='xy', scale=1, color='k')
ax.quiver(X2, Y2, U2, V2, angles='xy', scale_units='xy', scale=1, color='k')
ax.quiver(X3, Y3, U3, V3, angles='xy', scale_units='xy', scale=1, color='r')
ax.set_xlim([-1, 1])
ax.set_ylim([-1, 1])

plt.draw()
plt.show()