From 26cb7b3abac9365d5ceccabc7cdde900f8cde3bf Mon Sep 17 00:00:00 2001
From: Ruben Erlenstedt <rxy626@gmail.com>
Date: Sat, 30 Nov 2019 11:49:43 +0100
Subject: Add python plot for bloch sphere

---
 plotting.py          | 42 +++++++++++++++++++++++++++++-------------
 single_dequantify.py |  6 +++---
 2 files changed, 32 insertions(+), 16 deletions(-)

diff --git a/plotting.py b/plotting.py
index 397e4de..9def377 100644
--- a/plotting.py
+++ b/plotting.py
@@ -3,11 +3,11 @@ import cmath as cmt
 import numpy as npy
 from mpl_toolkits.mplot3d import Axes3D
 import matplotlib.pyplot as plt
-import numpy as np
 from itertools import product, combinations
 from matplotlib.patches import FancyArrowPatch
 from mpl_toolkits.mplot3d import proj3d
 
+
 class Arrow3D(FancyArrowPatch):
 
     def __init__(self, xs, ys, zs, *args, **kwargs):
@@ -20,19 +20,35 @@ class Arrow3D(FancyArrowPatch):
         self.set_positions((xs[0], ys[0]), (xs[1], ys[1]))
         FancyArrowPatch.draw(self, renderer)
 
-def plot_kugel(historie):
+
+def kugel(historie):
     fig = plt.figure()
     ax = fig.gca(projection='3d')
-            
+
     # draw sphere
-    u, v = np.mgrid[0:2*np.pi:20j, 0:np.pi:10j]
-    x = np.cos(u)*np.sin(v)
-    y = np.sin(u)*np.sin(v)
-    z = np.cos(v)
+    u, v = npy.mgrid[0:2*npy.pi:20j, 0:npy.pi:10j]
+    x = npy.cos(u)*npy.sin(v)
+    y = npy.sin(u)*npy.sin(v)
+    z = npy.cos(v)
     ax.plot_wireframe(x, y, z, color="r")
-    
-    # draw a vector
-    a = Arrow3D([0, 1], [0, 1], [0, 1], mutation_scale=20,
-            lw=1, arrowstyle="-|>", color="k")
-    ax.add_artist(a)
-    plt.show()
\ No newline at end of file
+
+    # draw a time evolution
+    for blochpunkt in historie:
+        x = mth.cos(blochpunkt[1]) * mth.cos(blochpunkt[0])
+        y = mth.cos(blochpunkt[1]) * mth.sin(blochpunkt[0])
+        z = mth.sin(blochpunkt[1])
+        a = Arrow3D([0, x], [0, y], [0, z], mutation_scale=20,
+                    lw=1, arrowstyle="-|>", color="k")
+        ax.add_artist(a)
+    plt.show()
+
+def phi(phi):
+    fig, ax = plt.subplots()
+
+    x = mth.cos(phi[0])
+    y = mth.sin(phi[0])
+
+    ax.arrow(0, 0, 1, 1)
+    ax.set_title('Zeitentwicklung von phi')
+
+    plt.show()
diff --git a/single_dequantify.py b/single_dequantify.py
index c5054f5..cd302af 100644
--- a/single_dequantify.py
+++ b/single_dequantify.py
@@ -10,7 +10,7 @@ beta  = 1 / npy.sqrt(2)
 state = npy.array([alpha, beta])
 
 dt = 0.2
-iterations = 200
+iterations = 20
 
 H = npy.array([[2,-2j],[2j,3]])
 
@@ -40,7 +40,7 @@ for i in range(iterations):
     coords = sphere2cart(coords[0], coords[1])
     print(f"{coords[0]}; {coords[1]}; {coords[2]}")
 
-
-
+import plotting
+plotting.phi(historie[:,0])
 
 
-- 
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