def draw_sphere_zenith(zenith_points, hv_points, root):
b = Bloch()
b.point_color = ['m', 'k', 'g', 'b', 'w', 'c', 'y', 'r']
b.zlabel = ['$z$', '']
b.point_marker = ['o']
b.point_size = [30]
b.frame_width = 1.2
fig = plt.figure(figsize=(20, 20))
b.fig = fig
x = (basis(2, 0) + (1 + 0j) * basis(2, 1)).unit()
y = (basis(2, 0) + (0 + 1j) * basis(2, 1)).unit()
z = (basis(2, 0) + (0 + 0j) * basis(2, 1)).unit()
b.add_states([x, y, z])
for i in range(len(zenith_points)):
# Transform xyz to zxy coordinates
tmp1 = np.array(
[zenith_points[i][2], zenith_points[i][0], zenith_points[i][1]])
tmp2 = np.vstack(
[hv_points[i][:, 2], hv_points[i][:, 0], hv_points[i][:, 1]]).T
tmp = np.vstack([tmp1, -tmp1, tmp2]).T
b.add_points(tmp)
# tmp1 = np.array([zenith_points[-1][2], zenith_points[-1][0], zenith_points[-1][1]])
# tmp = np.array([tmp1, -tmp1]).T
# b.add_points(tmp)
name = os.path.join(root, 'zenith_on_sphere.jpg')
b.save(name=name)
def create_gif(qstates, qstart, qtarget, name):
'''
Inputs:
# qstates: list of states as np.arrays
# qstart, qtarget: respectively the target ans start state
# name: name of the output gif
'''
b = Bloch()
duration = 5 #framerate
images = []
for (qstate, i) in zip(qstates, range(0, len(qstates))):
b.clear()
b.point_color = "r" # options: 'r', 'g', 'b' etc.
b.point_marker = ['o']
b.point_size = [40]
b.add_states(qutip_qstate(qstart))
b.add_states(qutip_qstate(qtarget))
for previous in range(i):
b.add_states(qutip_qstate(qstates[previous]),
"point") #plots previous visited states as points
b.add_states(qutip_qstate(qstate))
filename = 't.png'
b.save(filename)
images.append(imageio.imread(filename))
imageio.mimsave(name, images, 'GIF', fps=duration)
def draw_consensus_rectified_sphere(hv_points, root):
b = Bloch()
b.point_color = ['m', 'k', 'g', 'b', 'w', 'c', 'y', 'r']
b.zlabel = ['$z$', '']
b.point_marker = ['o']
b.point_size = [80]
b.frame_width = 1.2
fig = plt.figure(figsize=(20, 20))
b.fig = fig
x = (basis(2, 0) + (1 + 0j) * basis(2, 1)).unit()
y = (basis(2, 0) + (0 + 1j) * basis(2, 1)).unit()
z = (basis(2, 0) + (0 + 0j) * basis(2, 1)).unit()
b.add_states([x, y, z])
for i in range(len(hv_points)):
# Transform xyz to zxy coordinates
tmp2 = np.vstack(
[hv_points[i][:, 2], hv_points[i][:, 0], hv_points[i][:, 1]]).T
tmp = tmp2.T
b.add_points(tmp)
# b.add_points([ 0.99619469809174555, 0.087155742747658166, 0])
# b.add_points([0.99619469809174555, -0.087155742747658166, 0])
# b.add_points(tmp)
name = os.path.join(root, 'consensus_zenith_on_rectified_sphere.jpg')
b.save(name=name)
def animate_bloch(vectors, duration=0.1, save_all=False):
numberOfLoops = 1 #Enter '1' to apply only ONE mode [Excitation or Relaxation] or '2' to to apply only BOTH modes [Excitation and Relaxation] starting with the selected mode
if numberOfLoops == 1:
maxAngle = 2 * np.pi
elif numberOfLoops == 2:
maxAngle = 4 * np.pi
mode = 1 #Enter '0' to activate Excitation Mode or '1' to activate Relaxation Mode
omega = np.pi / 6 #Enter the angular frequency
z = 0
sqAngle = np.pi / 2
a = 5
vectorM = Bloch()
# vectorM.view = [90,90] #Activate this line to view magnetization’s trajectory on x-y plane
images = []
for t in np.arange(omega, maxAngle, 0.1):
if mode == 0:
z = np.pi / 2 * np.sin(t / (4))
if t == 2 * np.pi:
mode = 1
elif mode == 1:
z = np.pi / 2 * np.cos(t / (4))
if t == 2 * np.pi:
mode = 0
else:
pass
vectorM.clear()
vectorM.add_vectors([
np.sin(omega) * np.cos(t),
np.sin(omega) * np.sin(t),
np.cos(omega)
])
vectorM.add_vectors(
[np.sin(z) * np.cos(a * t),
np.sin(z) * np.sin(a * t),
np.cos(z)])
vectorM.add_vectors([
np.sin(sqAngle) * np.cos(t),
np.sin(sqAngle) * np.sin(t),
np.cos(sqAngle)
])
filename = 'temp_file.png'
vectorM.save(filename)
images.append(imageio.imread(filename))
imageio.mimsave('bloch_anim.gif', images, duration=duration)
def draw_center_hvps_rectified_sphere(hv_points, root):
b = Bloch()
b.point_color = ['m', 'k', 'g', 'b', 'w', 'c', 'y', 'r']
b.zlabel = ['$z$', '']
b.point_marker = ['o']
b.point_size = [80]
b.frame_width = 1.2
fig = plt.figure(figsize=(20, 20))
b.fig = fig
x = (basis(2, 0) + (1 + 0j) * basis(2, 1)).unit()
y = (basis(2, 0) + (0 + 1j) * basis(2, 1)).unit()
z = (basis(2, 0) + (0 + 0j) * basis(2, 1)).unit()
b.add_states([x, y, z])
for i in range(len(hv_points)):
# Transform xyz to zxy coordinates
tmp1 = np.array([hv_points[i][2], hv_points[i][0], hv_points[i][1]])
tmp2 = np.vstack([tmp1, -tmp1]).T
tmp = tmp2
b.add_points(tmp)
name = os.path.join(root, 'consensus_hvps_center_on_rectified_sphere.jpg')
b.save(name=name)
b.add_states([x, y])
b.add_states(z)
b.show()
print('-7-')
input('Press ENTER to continue.')
# %% -8-
b.clear()
# genauso kann die Exponentialfunktion und Sinus, Cosinus verwendet werden
# BSP 5 vom 5. Nov
psi = (np.cos(np.pi / 4) * up +
np.sin(np.pi / 4) * np.exp(-1j * np.pi / 4) * down).unit()
b.add_states(psi)
b.show()
b.save('bloch.png') # erzeug ein Bild des aktuellen Zustandes
print('-8-')
input('Press ENTER to continue.')
# Um das Beipsiel 5 vom 5 Nov als Bild zu erhalten, wuerden folgende 7 Zeile ausreichen:
# from qutip import Bloch, basis
# import numpy as np
# b = Bloch()
# psi = (np.cos(np.pi/4)*up + np.sin(np.pi/4)*np.exp(-1j*np.pi/4)*down).unit()
# b.add_states(psi)
# b.show()
# b.save('bloch_5a.png')
# %%
print(b) # zeigt die Einstellungsmoeglichkeiten an
# siehe: http://qutip.org/docs/4.1/guide/guide-bloch.html#bloch-class-options
# point2 = np.array([0., 0., 1.])
#
#
# # pitch = np.arctan(point1[2] / point1[1])
# # roll = - np.arctan(point1[0] / np.sign(point1[1]) * np.hypot(point1[1], point1[2]))
#
#
# ## print(R_pitch(pitch).dot(R_roll(roll).dot(np.array([0, 1, 0]))))
#
#
# hl = np.array([[0., 774.0801861], [1600., 825.23757385], [np.nan, np.nan]])
# hl_homo = np.array([np.hstack([hl[0] - 800, 800]), np.hstack([hl[1] - 800, 800])])
#
#
# hvps = np.array([[830.73055179,800.6414392],[1158.09074533, 811.10824692]])
# img = Image.open('/home/zhup/Desktop/Pano/Pano_hl_z_vp/3_im_hl.jpg')
# draw = ImageDraw.Draw(img)
# draw.line([tuple(hvps[0]), tuple(hvps[1])], width=6, fill='yellow')
# img.save(os.path.join(root, 'render_part3.jpg'))
b = Bloch()
b.point_color = ['m', 'k', 'g', 'b', 'w', 'c', 'y', 'r']
b.zlabel = ['$z$', '']
b.point_marker = ['o']
b.point_size = [3]
b.frame_width = 0.5
fig = plt.figure(figsize=(20, 20))
b.fig = fig
name = os.path.join('zenith_on_sphere.jpg')
b.save(name=name)