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 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
# 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)