def plot_bloch_vector(bloch, title="", ax=None, figsize=None):
"""Plot the Bloch sphere.
Plot a sphere, axes, the Bloch vector, and its projections onto each axis.
Args:
bloch (list[double]): array of three elements where [<x>, <y>, <z>]
title (str): a string that represents the plot title
ax (matplotlib.Axes): An Axes to use for rendering the bloch sphere
figsize (tuple): Figure size in inches. Has no effect is passing `ax`.
Returns:
Figure: A matplotlib figure instance if `ax = None`.
Raises:
ImportError: Requires matplotlib.
"""
if not HAS_MATPLOTLIB:
raise ImportError('Must have Matplotlib installed.')
if figsize is None:
figsize = (5, 5)
B = Bloch(axes=ax)
B.add_vectors(bloch)
B.render(title=title)
if ax is None:
fig = B.fig
fig.set_size_inches(figsize[0], figsize[1])
plt.close(fig)
return fig
return None
def plot_bloch_vector(bloch, title="", ax=None, figsize=None, coord_type="cartesian"):
"""Plot the Bloch sphere.
Plot a sphere, axes, the Bloch vector, and its projections onto each axis.
Args:
bloch (list[double]): array of three elements where [<x>, <y>, <z>] (Cartesian)
or [<r>, <theta>, <phi>] (spherical in radians)
<theta> is inclination angle from +z direction
<phi> is azimuth from +x direction
title (str): a string that represents the plot title
ax (matplotlib.axes.Axes): An Axes to use for rendering the bloch
sphere
figsize (tuple): Figure size in inches. Has no effect is passing ``ax``.
coord_type (str): a string that specifies coordinate type for bloch
(Cartesian or spherical), default is Cartesian
Returns:
Figure: A matplotlib figure instance if ``ax = None``.
Raises:
MissingOptionalLibraryError: Requires matplotlib.
Example:
.. jupyter-execute::
from qiskit.visualization import plot_bloch_vector
%matplotlib inline
plot_bloch_vector([0,1,0], title="New Bloch Sphere")
"""
if not HAS_MATPLOTLIB:
raise MissingOptionalLibraryError(
libname="Matplotlib",
name="plot_bloch_vector",
pip_install="pip install matplotlib",
)
from qiskit.visualization.bloch import Bloch
from matplotlib import get_backend
from matplotlib import pyplot as plt
if figsize is None:
figsize = (5, 5)
B = Bloch(axes=ax)
if coord_type == "spherical":
r, theta, phi = bloch[0], bloch[1], bloch[2]
bloch[0] = r * np.sin(theta) * np.cos(phi)
bloch[1] = r * np.sin(theta) * np.sin(phi)
bloch[2] = r * np.cos(theta)
B.add_vectors(bloch)
B.render(title=title)
if ax is None:
fig = B.fig
fig.set_size_inches(figsize[0], figsize[1])
if get_backend() in ["module://ipykernel.pylab.backend_inline", "nbAgg"]:
plt.close(fig)
return fig
return None
def plot_bloch_sphere(bloch_vectors):
"""Given a list of Bloch vectors, plot them on the Bloch sphere
Args:
bloch_vectors (list): list of bloch vectors
"""
sphere = Bloch()
sphere.add_points(np.transpose(bloch_vectors))
sphere.show()
def plot_bloch_vector(bloch, title="", ax=None, figsize=None):
"""Plot the Bloch sphere.
Plot a sphere, axes, the Bloch vector, and its projections onto each axis.
Args:
bloch (list[double]): array of three elements where [<x>, <y>, <z>]
title (str): a string that represents the plot title
ax (matplotlib.axes.Axes): An Axes to use for rendering the bloch
sphere
figsize (tuple): Figure size in inches. Has no effect is passing ``ax``.
Returns:
Figure: A matplotlib figure instance if ``ax = None``.
Raises:
ImportError: Requires matplotlib.
Example:
.. jupyter-execute::
from qiskit.visualization import plot_bloch_vector
%matplotlib inline
plot_bloch_vector([0,1,0], title="New Bloch Sphere")
"""
if not HAS_MATPLOTLIB:
raise ImportError('Must have Matplotlib installed. To install, run '
'"pip install matplotlib".')
if figsize is None:
figsize = (5, 5)
B = Bloch(axes=ax)
B.add_vectors(bloch)
B.render(title=title)
if ax is None:
fig = B.fig
fig.set_size_inches(figsize[0], figsize[1])
if get_backend() in [
'module://ipykernel.pylab.backend_inline', 'nbAgg'
]:
plt.close(fig)
return fig
return None
def visualize_transition(circuit, trace=False, saveas=None, fpg=100, spg=2):
"""
Creates animation showing transitions between states of a single
qubit by applying quantum gates.
Args:
circuit (QuantumCircuit): Qiskit single-qubit QuantumCircuit. Gates supported are
h,x, y, z, rx, ry, rz, s, sdg, t, tdg and u1.
trace (bool): Controls whether to display tracing vectors - history of 10 past vectors
at each step of the animation.
saveas (str): User can choose to save the animation as a video to their filesystem.
This argument is a string of path with filename and extension (e.g. "movie.mp4" to
save the video in current working directory).
fpg (int): Frames per gate. Finer control over animation smoothness and computiational
needs to render the animation. Works well for tkinter GUI as it is, for jupyter GUI
it might be preferable to choose fpg between 5-30.
spg (int): Seconds per gate. How many seconds should animation of individual gate
transitions take.
Returns:
IPython.core.display.HTML:
If arg jupyter is set to True. Otherwise opens tkinter GUI and returns
after the GUI is closed.
Raises:
ImportError: Must have Matplotlib (and/or IPython) installed.
VisualizationError: Given gate(s) are not supported.
"""
try:
from IPython.display import HTML
has_ipython = True
except ImportError:
has_ipython = False
try:
import matplotlib
from matplotlib import pyplot as plt
from matplotlib import animation
from mpl_toolkits.mplot3d import Axes3D
from qiskit.visualization.bloch import Bloch
from qiskit.visualization.exceptions import VisualizationError
has_matplotlib = True
except ImportError:
has_matplotlib = False
jupyter = False
if ('ipykernel' in sys.modules) and ('spyder' not in sys.modules):
jupyter = True
if not has_matplotlib:
raise ImportError("Must have Matplotlib installed.")
if not has_ipython and jupyter is True:
raise ImportError("Must have IPython installed.")
if len(circuit.qubits) != 1:
raise VisualizationError("Only one qubit circuits are supported")
frames_per_gate = fpg
time_between_frames = (spg * 1000) / fpg
# quaternions of gates which don't take parameters
gates = dict()
gates['x'] = ('x',
_Quaternion.from_axisangle(np.pi / frames_per_gate,
[1, 0, 0]), '#1abc9c')
gates['y'] = ('y',
_Quaternion.from_axisangle(np.pi / frames_per_gate,
[0, 1, 0]), '#2ecc71')
gates['z'] = ('z',
_Quaternion.from_axisangle(np.pi / frames_per_gate,
[0, 0, 1]), '#3498db')
gates['s'] = ('s',
_Quaternion.from_axisangle(np.pi / 2 / frames_per_gate,
[0, 0, 1]), '#9b59b6')
gates['sdg'] = ('sdg',
_Quaternion.from_axisangle(-np.pi / 2 / frames_per_gate,
[0, 0, 1]), '#8e44ad')
gates['h'] = ('h',
_Quaternion.from_axisangle(np.pi / frames_per_gate,
_normalize([1, 0, 1])), '#34495e')
gates['t'] = ('t',
_Quaternion.from_axisangle(np.pi / 4 / frames_per_gate,
[0, 0, 1]), '#e74c3c')
gates['tdg'] = ('tdg',
_Quaternion.from_axisangle(-np.pi / 4 / frames_per_gate,
[0, 0, 1]), '#c0392b')
implemented_gates = [
'h', 'x', 'y', 'z', 'rx', 'ry', 'rz', 's', 'sdg', 't', 'tdg', 'u1'
]
simple_gates = ['h', 'x', 'y', 'z', 's', 'sdg', 't', 'tdg']
list_of_circuit_gates = []
for gate in circuit._data:
if gate[0].name not in implemented_gates:
raise VisualizationError("Gate {} is not supported".format(
gate[0].name))
if gate[0].name in simple_gates:
list_of_circuit_gates.append(gates[gate[0].name])
else:
theta = gate[0].params[0]
rad = np.deg2rad(theta)
if gate[0].name == 'rx':
quaternion = _Quaternion.from_axisangle(
rad / frames_per_gate, [1, 0, 0])
list_of_circuit_gates.append(
('rx:' + str(theta), quaternion, '#16a085'))
elif gate[0].name == 'ry':
quaternion = _Quaternion.from_axisangle(
rad / frames_per_gate, [0, 1, 0])
list_of_circuit_gates.append(
('ry:' + str(theta), quaternion, '#27ae60'))
elif gate[0].name == 'rz':
quaternion = _Quaternion.from_axisangle(
rad / frames_per_gate, [0, 0, 1])
list_of_circuit_gates.append(
('rz:' + str(theta), quaternion, '#2980b9'))
elif gate[0].name == 'u1':
quaternion = _Quaternion.from_axisangle(
rad / frames_per_gate, [0, 0, 1])
list_of_circuit_gates.append(
('u1:' + str(theta), quaternion, '#f1c40f'))
if len(list_of_circuit_gates) == 0:
raise VisualizationError("Nothing to visualize.")
starting_pos = _normalize(np.array([0, 0, 1]))
fig = plt.figure(figsize=(5, 5))
_ax = Axes3D(fig)
_ax.set_xlim(-10, 10)
_ax.set_ylim(-10, 10)
sphere = Bloch(axes=_ax)
class Namespace:
"""Helper class serving as scope container"""
def __init__(self):
self.new_vec = []
self.last_gate = -2
self.colors = []
self.pnts = []
namespace = Namespace()
namespace.new_vec = starting_pos
def animate(i):
sphere.clear()
# starting gate count from -1 which is the initial vector
gate_counter = (i - 1) // frames_per_gate
if gate_counter != namespace.last_gate:
namespace.pnts.append([[], [], []])
namespace.colors.append(list_of_circuit_gates[gate_counter][2])
# starts with default vector [0,0,1]
if i == 0:
sphere.add_vectors(namespace.new_vec)
namespace.pnts[0][0].append(namespace.new_vec[0])
namespace.pnts[0][1].append(namespace.new_vec[1])
namespace.pnts[0][2].append(namespace.new_vec[2])
namespace.colors[0] = 'r'
sphere.make_sphere()
return _ax
namespace.new_vec = list_of_circuit_gates[gate_counter][
1] * namespace.new_vec
namespace.pnts[gate_counter + 1][0].append(namespace.new_vec[0])
namespace.pnts[gate_counter + 1][1].append(namespace.new_vec[1])
namespace.pnts[gate_counter + 1][2].append(namespace.new_vec[2])
sphere.add_vectors(namespace.new_vec)
if trace:
# sphere.add_vectors(namespace.points)
for point_set in namespace.pnts:
sphere.add_points([point_set[0], point_set[1], point_set[2]])
sphere.vector_color = [list_of_circuit_gates[gate_counter][2]]
sphere.point_color = namespace.colors
sphere.point_marker = 'o'
annotation_text = list_of_circuit_gates[gate_counter][0]
annotationvector = [1.4, -0.45, 1.7]
sphere.add_annotation(annotationvector,
annotation_text,
color=list_of_circuit_gates[gate_counter][2],
fontsize=30,
horizontalalignment='left')
sphere.make_sphere()
namespace.last_gate = gate_counter
return _ax
def init():
sphere.vector_color = ['r']
return _ax
ani = animation.FuncAnimation(
fig,
animate,
range(frames_per_gate * len(list_of_circuit_gates) + 1),
init_func=init,
blit=False,
repeat=False,
interval=time_between_frames)
if saveas:
ani.save(saveas, fps=30)
if jupyter:
# This is necessary to overcome matplotlib memory limit
matplotlib.rcParams['animation.embed_limit'] = 50
return HTML(ani.to_jshtml())
plt.show()
plt.close(fig)
return None
def visualize_transition(circuit, trace=False, saveas=None, fpg=100, spg=2):
"""
Creates animation showing transitions between states of a single
qubit by applying quantum gates.
Args:
circuit (QuantumCircuit): Qiskit single-qubit QuantumCircuit. Gates supported are
h,x, y, z, rx, ry, rz, s, sdg, t, tdg and u1.
trace (bool): Controls whether to display tracing vectors - history of 10 past vectors
at each step of the animation.
saveas (str): User can choose to save the animation as a video to their filesystem.
This argument is a string of path with filename and extension (e.g. "movie.mp4" to
save the video in current working directory).
fpg (int): Frames per gate. Finer control over animation smoothness and computational
needs to render the animation. Works well for tkinter GUI as it is, for jupyter GUI
it might be preferable to choose fpg between 5-30.
spg (int): Seconds per gate. How many seconds should animation of individual gate
transitions take.
Returns:
IPython.core.display.HTML:
If arg jupyter is set to True. Otherwise opens tkinter GUI and returns
after the GUI is closed.
Raises:
MissingOptionalLibraryError: Must have Matplotlib (and/or IPython) installed.
VisualizationError: Given gate(s) are not supported.
"""
try:
from IPython.display import HTML
has_ipython = True
except ImportError:
has_ipython = False
try:
import matplotlib
from matplotlib import pyplot as plt
from matplotlib import animation
from mpl_toolkits.mplot3d import Axes3D
from qiskit.visualization.bloch import Bloch
from qiskit.visualization.exceptions import VisualizationError
has_matplotlib = True
except ImportError:
has_matplotlib = False
jupyter = False
if ("ipykernel" in sys.modules) and ("spyder" not in sys.modules):
jupyter = True
if not has_matplotlib:
raise MissingOptionalLibraryError(
libname="Matplotlib",
name="visualize_transition",
pip_install="pip install matplotlib",
)
if not has_ipython and jupyter is True:
raise MissingOptionalLibraryError(
libname="IPython",
name="visualize_transition",
pip_install="pip install ipython",
)
if len(circuit.qubits) != 1:
raise VisualizationError("Only one qubit circuits are supported")
frames_per_gate = fpg
time_between_frames = (spg * 1000) / fpg
# quaternions of gates which don't take parameters
gates = {}
gates["x"] = ("x", _Quaternion.from_axisangle(np.pi / frames_per_gate, [1, 0, 0]), "#1abc9c")
gates["y"] = ("y", _Quaternion.from_axisangle(np.pi / frames_per_gate, [0, 1, 0]), "#2ecc71")
gates["z"] = ("z", _Quaternion.from_axisangle(np.pi / frames_per_gate, [0, 0, 1]), "#3498db")
gates["s"] = (
"s",
_Quaternion.from_axisangle(np.pi / 2 / frames_per_gate, [0, 0, 1]),
"#9b59b6",
)
gates["sdg"] = (
"sdg",
_Quaternion.from_axisangle(-np.pi / 2 / frames_per_gate, [0, 0, 1]),
"#8e44ad",
)
gates["h"] = (
"h",
_Quaternion.from_axisangle(np.pi / frames_per_gate, _normalize([1, 0, 1])),
"#34495e",
)
gates["t"] = (
"t",
_Quaternion.from_axisangle(np.pi / 4 / frames_per_gate, [0, 0, 1]),
"#e74c3c",
)
gates["tdg"] = (
"tdg",
_Quaternion.from_axisangle(-np.pi / 4 / frames_per_gate, [0, 0, 1]),
"#c0392b",
)
implemented_gates = ["h", "x", "y", "z", "rx", "ry", "rz", "s", "sdg", "t", "tdg", "u1"]
simple_gates = ["h", "x", "y", "z", "s", "sdg", "t", "tdg"]
list_of_circuit_gates = []
for gate in circuit._data:
if gate[0].name not in implemented_gates:
raise VisualizationError(f"Gate {gate[0].name} is not supported")
if gate[0].name in simple_gates:
list_of_circuit_gates.append(gates[gate[0].name])
else:
theta = gate[0].params[0]
if gate[0].name == "rx":
quaternion = _Quaternion.from_axisangle(theta / frames_per_gate, [1, 0, 0])
list_of_circuit_gates.append(("rx:" + str(theta), quaternion, "#16a085"))
elif gate[0].name == "ry":
quaternion = _Quaternion.from_axisangle(theta / frames_per_gate, [0, 1, 0])
list_of_circuit_gates.append(("ry:" + str(theta), quaternion, "#27ae60"))
elif gate[0].name == "rz":
quaternion = _Quaternion.from_axisangle(theta / frames_per_gate, [0, 0, 1])
list_of_circuit_gates.append(("rz:" + str(theta), quaternion, "#2980b9"))
elif gate[0].name == "u1":
quaternion = _Quaternion.from_axisangle(theta / frames_per_gate, [0, 0, 1])
list_of_circuit_gates.append(("u1:" + str(theta), quaternion, "#f1c40f"))
if len(list_of_circuit_gates) == 0:
raise VisualizationError("Nothing to visualize.")
starting_pos = _normalize(np.array([0, 0, 1]))
fig = plt.figure(figsize=(5, 5))
if tuple(int(x) for x in matplotlib.__version__.split(".")) >= (3, 4, 0):
_ax = Axes3D(fig, auto_add_to_figure=False)
fig.add_axes(_ax)
else:
_ax = Axes3D(fig)
_ax.set_xlim(-10, 10)
_ax.set_ylim(-10, 10)
sphere = Bloch(axes=_ax)
class Namespace:
"""Helper class serving as scope container"""
def __init__(self):
self.new_vec = []
self.last_gate = -2
self.colors = []
self.pnts = []
namespace = Namespace()
namespace.new_vec = starting_pos
def animate(i):
sphere.clear()
# starting gate count from -1 which is the initial vector
gate_counter = (i - 1) // frames_per_gate
if gate_counter != namespace.last_gate:
namespace.pnts.append([[], [], []])
namespace.colors.append(list_of_circuit_gates[gate_counter][2])
# starts with default vector [0,0,1]
if i == 0:
sphere.add_vectors(namespace.new_vec)
namespace.pnts[0][0].append(namespace.new_vec[0])
namespace.pnts[0][1].append(namespace.new_vec[1])
namespace.pnts[0][2].append(namespace.new_vec[2])
namespace.colors[0] = "r"
sphere.make_sphere()
return _ax
namespace.new_vec = list_of_circuit_gates[gate_counter][1] * namespace.new_vec
namespace.pnts[gate_counter + 1][0].append(namespace.new_vec[0])
namespace.pnts[gate_counter + 1][1].append(namespace.new_vec[1])
namespace.pnts[gate_counter + 1][2].append(namespace.new_vec[2])
sphere.add_vectors(namespace.new_vec)
if trace:
# sphere.add_vectors(namespace.points)
for point_set in namespace.pnts:
sphere.add_points([point_set[0], point_set[1], point_set[2]])
sphere.vector_color = [list_of_circuit_gates[gate_counter][2]]
sphere.point_color = namespace.colors
sphere.point_marker = "o"
annotation_text = list_of_circuit_gates[gate_counter][0]
annotationvector = [1.4, -0.45, 1.7]
sphere.add_annotation(
annotationvector,
annotation_text,
color=list_of_circuit_gates[gate_counter][2],
fontsize=30,
horizontalalignment="left",
)
sphere.make_sphere()
namespace.last_gate = gate_counter
return _ax
def init():
sphere.vector_color = ["r"]
return _ax
ani = animation.FuncAnimation(
fig,
animate,
range(frames_per_gate * len(list_of_circuit_gates) + 1),
init_func=init,
blit=False,
repeat=False,
interval=time_between_frames,
)
if saveas:
ani.save(saveas, fps=30)
if jupyter:
# This is necessary to overcome matplotlib memory limit
matplotlib.rcParams["animation.embed_limit"] = 50
return HTML(ani.to_jshtml())
plt.show()
plt.close(fig)
return None