diff --git a/definition.py b/definition.py
new file mode 100644
index 0000000000000000000000000000000000000000..e133b08fae6a7f90728af3be0cf6acf646fa0479
--- /dev/null
+++ b/definition.py
@@ -0,0 +1,144 @@
+from __future__ import (absolute_import, division, print_function, unicode_literals)
+from cmath import cos, sin, exp, polar, acos
+from math import pi
+import matplotlib as mpl
+from mpl_toolkits.mplot3d import Axes3D
+import numpy as np
+import matplotlib.pyplot as plt
+from matplotlib.backends.backend_tkagg import FigureCanvasTkAgg
+
+mpl.rcParams['legend.fontsize'] = 10
+
+class Plate:
+ """type = ''LR, 'LP', 'CP'
+ Fast axis unchanged convention (pour un LR)
+ orientation = Right, Left (pour un CP)"""
+ def __init__(self, element, theta = 0, delta = 0, orientation = ""):
+ self.element = element
+ self.delta = delta
+ self.theta = theta
+ self.orientation = orientation
+
+def coef(real, imag):
+ a = 0
+ if real != 0:
+ a = real
+ if imag != 0:
+ a+= imag*1j
+ return(a)
+
+class Photon:
+ def __init__(self, state0, state1):
+ self.state0 = [state0]
+ self.state1 = [state1]
+
+ def state(self):
+ print(self.state0[-1], "|0> + ", self.state1[-1], "|1>")
+
+ def round_state(self,decimal,i):
+ s_0r = round((self.state0[i]).real,decimal)
+ s_0i = round((self.state0[i]).imag,decimal)
+ s_1r = round((self.state1[i]).real,decimal)
+ s_1i = round((self.state1[i]).imag,decimal)
+ return(s_0r, s_0i, s_1r, s_1i)
+
+ def is_2D(self,i):
+ s_0r = round((self.state0[i]).real,3)
+ s_0i = round((self.state0[i]).imag,3)
+ s_1r = round((self.state1[i]).real,3)
+ s_1i = round((self.state1[i]).imag,3)
+ return (s_0r*s_0i == 0 and s_1r*s_1i == 0 and s_0r*s_1i == 0 and s_1r*s_0i == 0)
+
+ def pur(self,i):
+ rho0, phi0 = polar(self.state0[i])
+ rho1, phi1 = polar(self.state1[i])
+ return (2*acos(rho0), phi1-phi0)
+
+ def gate(self,plate):
+ alpha = self.state0[-1]
+ beta = self.state1[-1]
+ if plate.element == 'LP':
+ self.state0.append(alpha*cos(plate.theta)*cos(plate.theta) + beta*cos(plate.theta)*sin(plate.theta))
+ self.state1.append(alpha*cos(plate.theta)*sin(plate.theta) + beta*sin(plate.theta)*sin(plate.theta))
+ if plate.element == 'LR':
+ self.state0.append(alpha*(cos(plate.theta)*cos(plate.theta) + exp(1j*plate.delta)*sin(plate.theta)*sin(plate.theta)) + beta*(1-exp(1j*plate.delta))*cos(plate.theta)*sin(plate.theta))
+ self.state1.append(alpha*(1-exp(1j*plate.delta))*cos(plate.theta)*sin(plate.theta) + beta*(sin(plate.theta)*sin(plate.theta) + exp(1j*plate.delta)*cos(plate.theta)*cos(plate.theta)))
+ else:
+ if plate.orientation == "Right":
+ self.state0.append(1/2*(alpha + 1j*beta))
+ self.state1.append(1/2*(beta - 1j*alpha))
+ else:
+ self.state0.append(1/2*(alpha - 1j*beta))
+ self.state1.append(1/2*(beta + 1j*alpha))
+
+ def representation(self,i):
+
+ #Bloch Sphere
+
+ fig = plt.figure()
+ ax = fig.gca(projection='3d')
+ """thismanager = plt.get_current_fig_manager()
+ thismanager.window.SetPosition((500, 0))
+ thismanager.window.wm_geometry("+500+0")"""
+ ax.set_title('Step '+str(i))
+ theta = np.linspace(0, 2 * np.pi, 100)
+ z = np.zeros(100)
+ x = np.sin(theta)
+ y = np.cos(theta)
+ ax.plot(x, y, z, color = 'black', linestyle='dashed', linewidth=0.5, label='sphere')
+ ax.plot(y, z, x, color = 'black', linestyle='dashed', linewidth=0.5)
+ ax.plot(z, x, y, color = 'black', linestyle='dashed', linewidth=0.5)
+ ax.quiver(0, 0, 0, 0, 0, 1, color = 'black', arrow_length_ratio = 0.1)
+ ax.text(0, 0, 1.1, '|0>', color = 'black')
+ ax.quiver(0, 0, 0, 0, 0, -1, color = 'black', arrow_length_ratio = 0.1)
+ ax.text(0, 0, -1.1, '|1>', color = 'black')
+
+ if i>0:
+ theta, phi = self.pur(i-1)
+ ax.quiver(0, 0, 0, sin(theta)*cos(phi), sin(theta)*sin(phi), cos(theta), color = 'red', arrow_length_ratio = 0.1, label ='before')
+ ax.text(sin(theta)*cos(phi)+0.1, sin(theta)*sin(phi)+0.1, cos(theta)+0.1, 'before', color = 'red')
+
+ theta, phi = self.pur(i)
+ ax.quiver(0, 0, 0, sin(theta)*cos(phi), sin(theta)*sin(phi), cos(theta), color = 'green', arrow_length_ratio = 0.1, label ='after')
+ ax.text(sin(theta)*cos(phi)+0.1, sin(theta)*sin(phi)+0.1, cos(theta)+0.1, 'after', color = 'green')
+
+ ax.grid(False)
+ ax.axis(False)
+ ax.legend()
+
+ #2D representation
+
+ if self.is_2D(i):
+ fig2 = plt.figure()
+ ax_2D = fig2.add_subplot(111)
+ theta = np.linspace(0, 2 * np.pi, 100)
+ x = np.sin(theta)
+ y = np.cos(theta)
+ ax_2D.plot(x,y, color = 'black', linestyle='dashed', linewidth=0.5, label='circle')
+ ax_2D.quiver(*[0, 0], [0, 1], [1,0], scale = 1, scale_units = 'xy', color = 'black')
+ ax_2D.text(0, 1.1, '|0>', color = 'black')
+ ax_2D.text(1.1, 0, '|1>', color = 'black')
+ ax_2D.grid(False)
+ ax_2D.axis(False)
+ ax_2D.legend()
+ (s_0r, s_0i, s_1r, s_1i) = self.round_state(3,i)
+ if (s_0r != 0 or s_1r != 0):
+ ax_2D.quiver(*[0, 0], [s_1r], [s_0r], scale = 1, scale_units = 'xy', color = 'red', label = 'Phase nul')
+ ax_2D.text(s_1r +0.1, s_0r + 0.1, 'after', color = 'red')
+ else:
+ ax_2D.quiver(*[0, 0], [s_1i], [s_0i], scale = 1, scale_units = 'xy', color = 'red', label = 'Phase pi/2')
+ ax_2D.text(s_1i +0.1, s_0i + 0.1, 'after', color = 'red')
+
+ if i>0:
+ if self.is_2D(i-1):
+ (s_0r, s_0i, s_1r, s_1i) = self.round_state(3,i-1)
+ if (s_0r != 0 or s_1r != 0):
+ ax_2D.quiver(*[0, 0], [s_1r], [s_0r], scale = 1, scale_units = 'xy', color = 'green', label = 'Phase nul')
+ ax_2D.text(s_1r +0.1, s_0r + 0.1, 'before', color = 'green')
+ else:
+ ax_2D.quiver(*[0, 0], [s_1i], [s_0i], scale = 1, scale_units = 'xy', color = 'green', label = 'Phase pi/2')
+ ax_2D.text(s_1i +0.1, s_0i + 0.1, 'before', color = 'green')
+
+
+ plt.show()
+