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 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 bloch_plot(self, points=None, F=None):
"""
Plot the current state on the Bloch sphere using
qutip.
"""
# create instance of 3d plot
bloch = Bloch(figsize=[9, 9])
bloch.add_vectors([0, 0, 1])
bloch.xlabel = ['$<F_x>$', '']
bloch.ylabel = ['$<F_y>$', '']
bloch.zlabel = ['$<F_z>$', '']
if self.spin == 'half':
if points is None:
# convert current state into density operator
rho = np.outer(self.state.H, self.state)
# get Bloch vector representation
points = self.get_bloch_vec(rho)
# Can only plot systems of dimension 2 at this time
assert len(
points
) == 3, "System dimension must be spin 1/2 for Bloch sphere plot"
# create instance of 3d plot
bloch = Bloch(figsize=[9, 9])
elif self.spin == 'one':
#points is list of items in format [[x1,x2],[y1,y2],[z1,z2]]
if points is None:
points = [getStars(self.state)]
bloch.point_color = ['g', 'r',
'b'] #ensures point and line are same colour
bloch.point_marker = ['o', 'd', 'o']
#bloch.point_color = ['g','r'] #ensures point and line are same colour
#bloch.point_marker = ['o','d']
for p in points:
bloch.add_points([p[0][0], p[1][0], p[2][0]])
bloch.add_points([p[0][1], p[1][1], p[2][1]])
bloch.add_points(p, meth='l')
'''
bloch.point_color = ['b','b'] #ensures point and line are same colour
bloch.point_marker = ['o','o']
for p in points:
bloch.add_points(p)
bloch.add_points(p, meth='l')
'''
# add state
#bloch.render(bloch.fig, bloch.axes)
#bloch.fig.savefig("bloch.png",dpi=600, transparent=True)
bloch.show()
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)
def maj_vid(self, points):
#takes screenshots of majorana stars over time to produce vid
if points is None:
points = [getStars(self.state)]
i = 0
for p in points:
bloch = Bloch(figsize=[9, 9])
bloch.xlabel = ['$<F_x>$', '']
bloch.ylabel = ['$<F_y>$', '']
bloch.zlabel = ['$<F_z>$', '']
bloch.point_color = ['g', 'r',
'b'] #ensures point and line are same colour
bloch.point_marker = ['o', 'd', 'o']
bloch.add_points([p[0][0], p[1][0], p[2][0]])
bloch.add_points([p[0][1], p[1][1], p[2][1]])
bloch.add_points(p, meth='l')
bloch.render(bloch.fig, bloch.axes)
bloch.fig.savefig(
"bloch" + str(i).zfill(int(np.ceil(np.log10(len(points))))) +
".png",
dpi=600,
transparent=False)
i += 1
# hinzufuegen eines Vektor
# x,y,z
v = [1, 0, 0] # dazu geben wir einen Vektor in die x-Richtung an
b.add_vectors(
v) # mit b.add_vectors wird der Vektor v der Blochkugel hinzugefuegt
b.show()
print('-2-')
input('Press ENTER to continue.')
# %% -3-
# Achsen koennen auch umbenannt werden
# dazu kann Latex-Code verwendet werden jedoch muss beachtet werden,
# dass fuer Latex-Code \ --> \\ verwendet werden sollte
b.xlabel = ["$\\left|45^\\circ \\right>$", "$\\left|-45^\\circ \\right>$"]
b.ylabel = ["$\\left|\\sigma^+\\right>$", "$\\left|\\sigma^- \\right>$"]
b.zlabel = ["$\\left|H\\right>$", "$\\left|V\\right>$"]
b.show()
print('-3-')
input('Press ENTER to continue.')
# %% -4-
b.clear() # Loescht alle Zustaende auf der Blochkugel
# behaltet jedoch Einstellungen wie z.B. Achsenbeschriftung
# Normierung eines Vektors
v = [1 / math.sqrt(3), 1 / math.sqrt(3), -1 / math.sqrt(3)]
w = [1, -1, 1] / np.sqrt(3)
# automatische Normierung eines Vektors
# mittel der numpy Library
# [email protected] ist dabei eine Vektor-Vektor Multiplikation
# 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)
def bloch_plot2(self,
filename,
save=False,
vecList=[],
vecColour=[],
view=[190, 10],
points=None,
folder=False,
fig=False,
ax=False):
"""
Plot the current state on the Bloch sphere using
qutip.
"""
if points is None:
# convert current state into density operator
rho = np.outer(self.state.H, self.state)
# get Bloch vector representation
points = self.get_bloch_vec(rho)
# Can only plot systems of dimension 2 at this time
assert len(
points
) == 3, "System dimension must be spin 1/2 for Bloch sphere plot"
# create instance of 3d plot
if not fig or not ax:
bloch = Bloch(figsize=[9, 9], view=view)
else:
bloch = Bloch(fig=fig, axes=ax, view=view)
# add state
bloch.add_points(points)
# bloch.zlabel = [r'$\left|+z\right>$',r'$\left|-z\right>$']
bloch.zlabel = [r'$\ket{+_z}$', r'$\ket{-_z}$']
# bloch.ylabel = [r'$\ket{+_y}$',r'$\ket{-_y}$']
# bloch.ylabel = [r'$\ket{+_y}$',r'$\ket{-_y}$']
# print(vecList.shape)
# add vectors
if vecList.shape[1] == 3:
if len(vecColour) >= vecList.shape[0] and len(vecColour) > 0:
bloch.vector_color = vecColour
else:
bloch.vector_color = ['#CC6600', 'royalblue', 'r', 'm', 'g']
bloch.add_vectors(vecList)
# add field vector
# bloch.add_vectors([1,0,0.15])
# bloch.add_vectors([0,0,1])
# bloch.add_vectors([1,0,0])
# render bloch sphere
if not fig or not ax:
bloch.render()
else:
# bloch.render(fig = fig, axes = ax)
bloch.render(fig=fig)
# save output
if save is True:
if not folder:
folder = 'C:/Users/Boundsy/Desktop/Uni Work/PHS2360/Sim Results/'
print('Bloch plot saved to ' + str(folder))
path1 = folder + str(filename) + '.png'
path2 = folder + str(filename) + '.pdf'
bloch.fig.savefig(path1, dpi=800, transparent=True)
bloch.fig.savefig(path2, dpi=800, transparent=True)
# return axes for annotations
return bloch.fig, bloch.axes
