1 files changed, 50 insertions, 0 deletions
diff --git a/twoqbit_dequantify.py b/twoqbit_dequantify.py
new file mode 100644
index 0000000..b6e0abb
--- /dev/null
+++ b/twoqbit_dequantify.py
@@ -0,0 +1,50 @@
+import subprocess
+import math as mth
+import cmath as cmt
+import numpy as npy
+import scipy.linalg as sla
+
+alpha = 2
+beta  = 0
+gamma = 1
+delta = 1+1j
+
+norm  = npy.linalg.norm([alpha, beta, gamma, delta])
+state = npy.array([alpha / norm, beta / norm, gamma / norm, delta / norm])
+
+dt = 0.05
+iterations = 20
+
+H = npy.array([[1,0,0,1j],[0,2,0,0],[0,0,3,0],[-1j,0,0,4]])
+
+M0 = [[1,0,0,0],[0,1,0,0],[0,0,-1,0],[0,0,0,-1]]
+M1 = [[0,0,1,0],[0,0,0,1],[1,0,0,0],[0,1,0,0]]
+M2 = [[0,0,-1j,0],[0,0,0,-1j],[1j,0,0,0],[0,1j,0,0]]
+M3 = [[0,0,0,1],[0,0,-1,0],[0,-1,0,0],[1,0,0,0]]
+
+
+def time_evolution(state, dt = dt):
+    return npy.dot(state, sla.expm(-1j * dt * H))
+
+def fibration(state):
+    x0=npy.dot(npy.conj(state),npy.dot(M0,state))
+    x1=npy.dot(npy.conj(state),npy.dot(M1,state))
+    x2=npy.dot(npy.conj(state),npy.dot(M2,state))
+    V=npy.dot(state,npy.dot(M3,state))
+    x3=V.real
+    x4=V.imag
+
+    return ([x0.real,x1.real,x2.real,x3,x4])
+
+
+f = open("data", "w")
+
+for i in range(iterations + 1):
+    hopf_state = fibration(state)
+    f.write(f"{hopf_state[3]}; {hopf_state[4]}; {(i + 1) / (iterations + 1)}\n")
+    print(hopf_state)
+    state = time_evolution(state)
+
+f.close()
+
+subprocess.run(["gnuplot", "gnuplot_2d.plt"])