qxmt.feature_maps.pennylane package

qxmt.feature_maps.pennylane package#

Submodules#

qxmt.feature_maps.pennylane.rotation module#

class qxmt.feature_maps.pennylane.rotation.HRotationFeatureMap(n_qubits, reps, rotation_axis)#

Bases: BaseFeatureMap

Hadamard and multi-axis rotation feature map class.

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

  • rotation_axis (list[str])

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.rotation import HRotationFeatureMap
>>> feature_map = HRotationFeatureMap(2, 2, ["X", "Y"])
>>> feature_map.draw(x_dim=2)
0: ──H─╭AngleEmbedding(M0)─╭AngleEmbedding(M0)──H─╭AngleEmbedding(M0)─╭AngleEmbedding(M0)─┤
1: ──H─╰AngleEmbedding(M0)─╰AngleEmbedding(M0)──H─╰AngleEmbedding(M0)─╰AngleEmbedding(M0)─┤
M0 = [0.88859928 0.32907378]
__init__(n_qubits, reps, rotation_axis)#

Initialize the Hadamard and multi axis rotation feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

  • rotation_axis (list[str]) – list of rotation axis

Return type:

None

feature_map(x)#

Create quantum circuit of Hadamard and rotation feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

class qxmt.feature_maps.pennylane.rotation.RotationFeatureMap(n_qubits, reps, rotation_axis)#

Bases: BaseFeatureMap

Multi-axis rotation feature map class.

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

  • rotation_axis (list[str])

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.rotation import RotationFeatureMap
>>> feature_map = RotationFeatureMap(2, 2, ["X", "Y"])
>>> feature_map.draw(x_dim=2)
0: ─╭AngleEmbedding(M0)─╭AngleEmbedding(M0)─╭AngleEmbedding(M0)─╭AngleEmbedding(M0)─┤
1: ─╰AngleEmbedding(M0)─╰AngleEmbedding(M0)─╰AngleEmbedding(M0)─╰AngleEmbedding(M0)─┤
M0 = [0.87336112 0.05976227]
__init__(n_qubits, reps, rotation_axis)#

Initialize the multi axis rotation feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

  • rotation_axis (list[str]) – list of rotation axis

Return type:

None

feature_map(x)#

Create quantum circuit of rotation feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

qxmt.feature_maps.pennylane.ising module#

class qxmt.feature_maps.pennylane.ising.XXFeatureMap(n_qubits, reps)#

Bases: BaseFeatureMap

XX feature map class.

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.ising import XXFeatureMap
>>> feature_map = XXFeatureMap(2, 2)
>>> feature_map.draw(x_dim=2)
0: ──RX(0.33)─╭IsingXX(15.19)──RX(0.33)─╭IsingXX(15.19)─┤
1: ──RX(0.44)─╰IsingXX(15.19)──RX(0.44)─╰IsingXX(15.19)─┤
__init__(n_qubits, reps)#

Initialize the XX feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

Return type:

None

feature_map(x)#

Create quantum circuit of XX feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

class qxmt.feature_maps.pennylane.ising.YYFeatureMap(n_qubits, reps)#

Bases: BaseFeatureMap

YY feature map class.

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.ising import YYFeatureMap
>>> feature_map = YYFeatureMap(2, 2)
>>> feature_map.draw(x_dim=2)
0: ──H──RY(0.86)─╭IsingYY(11.23)──H──RY(0.86)─╭IsingYY(11.23)─┤
1: ──H──RY(0.68)─╰IsingYY(11.23)──H──RY(0.68)─╰IsingYY(11.23)─┤
__init__(n_qubits, reps)#

Initialize the YY feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

Return type:

None

feature_map(x)#

Create quantum circuit of YY feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

class qxmt.feature_maps.pennylane.ising.ZZFeatureMap(n_qubits, reps)#

Bases: BaseFeatureMap

ZZ feature map class.

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.ising import ZZFeatureMap
>>> feature_map = ZZFeatureMap(2, 2)
>>> feature_map.draw(x_dim=2)
0: ──H──RZ(0.88)─╭IsingZZ(13.28)──H──RZ(0.88)─╭IsingZZ(13.28)─┤
1: ──H──RZ(0.20)─╰IsingZZ(13.28)──H──RZ(0.20)─╰IsingZZ(13.28)─┤
__init__(n_qubits, reps)#

Initialize the ZZ feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

Return type:

None

feature_map(x)#

Create quantum circuit of ZZ feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

qxmt.feature_maps.pennylane.npqc module#

class qxmt.feature_maps.pennylane.npqc.NPQCFeatureMap(n_qubits, reps, c)#

Bases: BaseFeatureMap

NPQC feature map class. Reference: https://arxiv.org/abs/2108.01039

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

  • c (float)

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.npqc import NPQCFeatureMap
>>> feature_map = NPQCFeatureMap(2, 2, 0.1)
>>> feature_map.draw(x_dim=2)
0: ──RY(1.60)──RZ(1.59)──RY(1.57)─╭●──RY(1.60)──RZ(1.59)──RY(1.57)─╭●──RY(1.60)─┤
1: ──RY(1.60)──RZ(1.59)───────────╰Z───────────────────────────────╰Z───────────┤
__init__(n_qubits, reps, c)#

“Initialize the NPQC feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

  • c (float) – scaling factor

  • seed (int) – random seed

Return type:

None

feature_map(x)#

Create quantum circuit of NPQC feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

qxmt.feature_maps.pennylane.yzcx module#

class qxmt.feature_maps.pennylane.yzcx.YZCXFeatureMap(n_qubits, reps, c, seed)#

Bases: BaseFeatureMap

YZCX feature map class. Reference: https://arxiv.org/abs/2108.01039

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

  • c (float)

  • seed (int)

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.yzcx import YZCXFeatureMap
>>> feature_map = YZCXFeatureMap(2, 2, 0.1, 0)
>>> feature_map.draw(x_dim=2)
0: ──RY(0.03)──RY(3.42)──RZ(0.05)──RZ(5.88)─╭●──RY(0.03)──RY(5.39)──RZ(0.05)──RZ(0.21)
1: ─────────────────────────────────────────╰X──RY(0.03)──RY(5.13)──RZ(0.05)──RZ(0.02)
──────────────────────────────────────────┤
──RY(0.03)───RY(4.58)──RZ(0.05)──RZ(1.10)─┤
__init__(n_qubits, reps, c, seed)#

“Initialize the YZCX feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

  • c (float) – scaling factor

  • seed (int) – random seed

Return type:

None

feature_map(x)#

Create quantum circuit of YZCX feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

Module contents#

class qxmt.feature_maps.pennylane.HRotationFeatureMap(n_qubits, reps, rotation_axis)#

Bases: BaseFeatureMap

Hadamard and multi-axis rotation feature map class.

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

  • rotation_axis (list[str])

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.rotation import HRotationFeatureMap
>>> feature_map = HRotationFeatureMap(2, 2, ["X", "Y"])
>>> feature_map.draw(x_dim=2)
0: ──H─╭AngleEmbedding(M0)─╭AngleEmbedding(M0)──H─╭AngleEmbedding(M0)─╭AngleEmbedding(M0)─┤
1: ──H─╰AngleEmbedding(M0)─╰AngleEmbedding(M0)──H─╰AngleEmbedding(M0)─╰AngleEmbedding(M0)─┤
M0 = [0.88859928 0.32907378]
__init__(n_qubits, reps, rotation_axis)#

Initialize the Hadamard and multi axis rotation feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

  • rotation_axis (list[str]) – list of rotation axis

Return type:

None

feature_map(x)#

Create quantum circuit of Hadamard and rotation feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

class qxmt.feature_maps.pennylane.NPQCFeatureMap(n_qubits, reps, c)#

Bases: BaseFeatureMap

NPQC feature map class. Reference: https://arxiv.org/abs/2108.01039

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

  • c (float)

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.npqc import NPQCFeatureMap
>>> feature_map = NPQCFeatureMap(2, 2, 0.1)
>>> feature_map.draw(x_dim=2)
0: ──RY(1.60)──RZ(1.59)──RY(1.57)─╭●──RY(1.60)──RZ(1.59)──RY(1.57)─╭●──RY(1.60)─┤
1: ──RY(1.60)──RZ(1.59)───────────╰Z───────────────────────────────╰Z───────────┤
__init__(n_qubits, reps, c)#

“Initialize the NPQC feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

  • c (float) – scaling factor

  • seed (int) – random seed

Return type:

None

feature_map(x)#

Create quantum circuit of NPQC feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

class qxmt.feature_maps.pennylane.RotationFeatureMap(n_qubits, reps, rotation_axis)#

Bases: BaseFeatureMap

Multi-axis rotation feature map class.

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

  • rotation_axis (list[str])

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.rotation import RotationFeatureMap
>>> feature_map = RotationFeatureMap(2, 2, ["X", "Y"])
>>> feature_map.draw(x_dim=2)
0: ─╭AngleEmbedding(M0)─╭AngleEmbedding(M0)─╭AngleEmbedding(M0)─╭AngleEmbedding(M0)─┤
1: ─╰AngleEmbedding(M0)─╰AngleEmbedding(M0)─╰AngleEmbedding(M0)─╰AngleEmbedding(M0)─┤
M0 = [0.87336112 0.05976227]
__init__(n_qubits, reps, rotation_axis)#

Initialize the multi axis rotation feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

  • rotation_axis (list[str]) – list of rotation axis

Return type:

None

feature_map(x)#

Create quantum circuit of rotation feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

class qxmt.feature_maps.pennylane.XXFeatureMap(n_qubits, reps)#

Bases: BaseFeatureMap

XX feature map class.

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.ising import XXFeatureMap
>>> feature_map = XXFeatureMap(2, 2)
>>> feature_map.draw(x_dim=2)
0: ──RX(0.33)─╭IsingXX(15.19)──RX(0.33)─╭IsingXX(15.19)─┤
1: ──RX(0.44)─╰IsingXX(15.19)──RX(0.44)─╰IsingXX(15.19)─┤
__init__(n_qubits, reps)#

Initialize the XX feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

Return type:

None

feature_map(x)#

Create quantum circuit of XX feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

class qxmt.feature_maps.pennylane.YYFeatureMap(n_qubits, reps)#

Bases: BaseFeatureMap

YY feature map class.

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.ising import YYFeatureMap
>>> feature_map = YYFeatureMap(2, 2)
>>> feature_map.draw(x_dim=2)
0: ──H──RY(0.86)─╭IsingYY(11.23)──H──RY(0.86)─╭IsingYY(11.23)─┤
1: ──H──RY(0.68)─╰IsingYY(11.23)──H──RY(0.68)─╰IsingYY(11.23)─┤
__init__(n_qubits, reps)#

Initialize the YY feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

Return type:

None

feature_map(x)#

Create quantum circuit of YY feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

class qxmt.feature_maps.pennylane.YZCXFeatureMap(n_qubits, reps, c, seed)#

Bases: BaseFeatureMap

YZCX feature map class. Reference: https://arxiv.org/abs/2108.01039

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

  • c (float)

  • seed (int)

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.yzcx import YZCXFeatureMap
>>> feature_map = YZCXFeatureMap(2, 2, 0.1, 0)
>>> feature_map.draw(x_dim=2)
0: ──RY(0.03)──RY(3.42)──RZ(0.05)──RZ(5.88)─╭●──RY(0.03)──RY(5.39)──RZ(0.05)──RZ(0.21)
1: ─────────────────────────────────────────╰X──RY(0.03)──RY(5.13)──RZ(0.05)──RZ(0.02)
──────────────────────────────────────────┤
──RY(0.03)───RY(4.58)──RZ(0.05)──RZ(1.10)─┤
__init__(n_qubits, reps, c, seed)#

“Initialize the YZCX feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

  • c (float) – scaling factor

  • seed (int) – random seed

Return type:

None

feature_map(x)#

Create quantum circuit of YZCX feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None

class qxmt.feature_maps.pennylane.ZZFeatureMap(n_qubits, reps)#

Bases: BaseFeatureMap

ZZ feature map class.

Parameters:

  • BaseFeatureMap (_type_) – base feature map class

  • n_qubits (int)

  • reps (int)

Example

>>> import numpy as np
>>> from qxmt.feature_maps.pennylane.ising import ZZFeatureMap
>>> feature_map = ZZFeatureMap(2, 2)
>>> feature_map.draw(x_dim=2)
0: ──H──RZ(0.88)─╭IsingZZ(13.28)──H──RZ(0.88)─╭IsingZZ(13.28)─┤
1: ──H──RZ(0.20)─╰IsingZZ(13.28)──H──RZ(0.20)─╰IsingZZ(13.28)─┤
__init__(n_qubits, reps)#

Initialize the ZZ feature map class.

Parameters:

  • n_qubits (int) – number of qubits

  • reps (int) – number of repetitions

Return type:

None

feature_map(x)#

Create quantum circuit of ZZ feature map.

Parameters:

x (np.ndarray) – input data

Return type:

None