From 19d0a0d8550fd6deaa8f00e0f5c1c06342a94822 Mon Sep 17 00:00:00 2001
From: Dennis Kobert <dennis@kobert.dev>
Date: Sat, 30 Nov 2019 17:43:14 +0100
Subject: Add simultaneou animations

---
 gnuplot.plt          | 20 +++++++++++++++++---
 single_dequantify.py | 29 +++++++++++++++++------------
 2 files changed, 34 insertions(+), 15 deletions(-)

diff --git a/gnuplot.plt b/gnuplot.plt
index ea5e043..f94ccdb 100644
--- a/gnuplot.plt
+++ b/gnuplot.plt
@@ -1,7 +1,21 @@
 set view equal xyz
 set parametric
 set isosamples 34,34
-splot cos(u)*cos(v),cos(u)*sin(v),sin(u) w l lc rgb "#42a4f5"
-replot 'data' w points palette pointsize 2 pointtype 7 
-;
+unset colorbox
+unset key
+
+iterations = 100
+states = 6
+
+do for [ii=1:iterations] {
+    splot cos(u)*cos(v),cos(u)*sin(v),sin(u) w l lc rgb "#42a4f5", \
+        'data' every ::1::ii * states w points palette pointsize 2 pointtype 7#, \
+    #do for [ij=1:states] {
+    #    ic = ij * iterations + ii
+    #    replot 'data' every ::ij * iterations::ic w points palette pointsize 2 pointtype 7#, \
+    #           #'data' every ::ij * iterations::ic w p palette 
+    #}
+    pause 0.1
+}
+
 pause mouse close
diff --git a/single_dequantify.py b/single_dequantify.py
index 96f76ed..a775ff1 100644
--- a/single_dequantify.py
+++ b/single_dequantify.py
@@ -7,8 +7,9 @@ import scipy.linalg as sla
 
 alpha = 1
 beta  = 1
-dt = 0.1
-iterations = 61
+dt = 0.08
+iterations = 100
+state_num = 6
 
 H = npy.array([[1,0],[0,2]])
 
@@ -16,9 +17,6 @@ if len(sys.argv) == 3:
     alpha = complex(sys.argv[1])
     beta = complex(sys.argv[2])
 
-norm  = npy.linalg.norm([alpha, beta])
-state = npy.array([alpha / norm, beta / norm])
-
 def time_evolution(state, dt = dt):
     return npy.dot(state, sla.expm(-1j * dt * H))
 
@@ -36,16 +34,23 @@ def sphere2cart(phi, theta):
              -1 * mth.cos(theta)
         ]
 
-historie = npy.array([bloch_map(state)])
 f = open("data", "w")
 
+states = []
+for i in range(state_num):
+    alpha = i / state_num
+    beta  = (state_num - i) / state_num
+    norm  = npy.linalg.norm([alpha, beta])
+    state = npy.array([alpha / norm, beta / norm])
+    states.append(state)
+
+
 for i in range(iterations):
-    state = time_evolution(state)
-    h = npy.dot(state, state)
-    historie = npy.vstack([historie,bloch_map(state)])
-    (phi, theta) = bloch_map(state)
-    coords = sphere2cart(phi, theta)
-    f.write(f"{coords[0]}; {coords[1]}; {coords[2]}; {(i + 1) / iterations}\n")
+    for j in range(state_num):
+        states[j] = time_evolution(states[j])
+        (phi, theta) = bloch_map(states[j])
+        coords = sphere2cart(phi, theta)
+        f.write(f"{coords[0]}; {coords[1]}; {coords[2]}; {(j + 1) / state_num}\n")
 
 f.close()
 
-- 
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