-
Notifications
You must be signed in to change notification settings - Fork 1
Commit
This commit does not belong to any branch on this repository, and may belong to a fork outside of the repository.
Merge branch 'main' into bfreeze-visualize-convert
- Loading branch information
Showing
2 changed files
with
340 additions
and
0 deletions.
There are no files selected for viewing
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1 @@ | ||
| from .gates import * |
This file contains bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,339 @@ | ||
| import numpy as np | ||
|
|
||
|
|
||
| def identity(): | ||
| """ | ||
| I = [1, 0] | ||
| [0, 1] | ||
| """ | ||
| return np.array([[1 + 0j, 0 + 0j], [0 + 0j, 1 + 0j]], "F") | ||
|
|
||
|
|
||
| def paulix(): | ||
| """ | ||
| X = [0, 1] | ||
| [1, 0] | ||
| """ | ||
| return np.array([[0 + 0j, 1 + 0j], [1 + 0j, 0 + 0j]], "F") | ||
|
|
||
|
|
||
| def pauliy(): | ||
| """ | ||
| Y = [0, -i] | ||
| [i, 0] | ||
| """ | ||
| return np.array([[0 + 0j, 0 - 1j], [0 + 1j, 0 + 0j]], "F") | ||
|
|
||
|
|
||
| def pauliz(): | ||
| """ | ||
| Z = [1, 0] | ||
| [0, -1] | ||
| """ | ||
| return np.array([[1 + 0j, 0 + 0j], [0 + 0j, -1 + 0j]], "F") | ||
|
|
||
|
|
||
| def hadamard(): | ||
| """ | ||
| Hadamard = [1, 1] | ||
| [1, -1] * (1/sqrt(2)) | ||
| """ | ||
| return np.array([[1 + 0j, 1 + 0j], [1 + 0j, -1 + 0j]], "F") * (1 / np.sqrt(2)) | ||
|
|
||
|
|
||
| def phase(theta: float = np.pi / 2): | ||
| """ | ||
| Phase = [1, 0] | ||
| [0, e^(i * θ)] | ||
| ... | ||
| Args: | ||
| theta: default pi / 2. | ||
| """ | ||
| return np.array([[1 + 0j, 0 + 0j], [0 + 0j, np.exp(0 + 1j * theta)]], "F") | ||
|
|
||
|
|
||
| def s(): | ||
| """ | ||
| S = [1, 0] | ||
| [0, i] | ||
| """ | ||
| return np.array([[1 + 0j, 0 + 0j], [0 + 0j, 0 + 1j]], "F") | ||
|
|
||
|
|
||
| def sdg(): | ||
| """ | ||
| SDG = [1, 0] | ||
| [0, -i] | ||
| """ | ||
| return np.array([[1 + 0j, 0 + 0j], [0 + 0j, 0 - 1j]], "F") | ||
|
|
||
|
|
||
| def t(): | ||
| """ | ||
| T = [1, 0] | ||
| [0, e^((i * pi) / 4] | ||
| """ | ||
| return np.array([[1 + 0j, 0 + 0j], [0 + 0j, np.exp((0 + 1j * np.pi) / 4)]], "F") | ||
|
|
||
|
|
||
| def tdg(): | ||
| """ | ||
| TDG = [1, 0] | ||
| [0, e^((-i * pi) / 4] | ||
| """ | ||
| return np.array([[1 + 0j, 0 + 0j], [0 + 0j, np.exp((0 - 1j * np.pi) / 4)]], "F") | ||
|
|
||
|
|
||
| def rz(theta: float = np.pi / 2): | ||
| """ | ||
| RZ = [e^(-i * (θ / 2)), 0] | ||
| [0, e^(i * (θ / 2))] | ||
| ... | ||
| Args: | ||
| theta: default pi / 2. | ||
| """ | ||
| return np.array( | ||
| [ | ||
| [np.exp((0 - 1j * (theta / 2))), 0 + 0j], | ||
| [0 + 0j, np.exp(0 + 1j * (theta / 2))], | ||
| ], | ||
| "F", | ||
| ) | ||
|
|
||
|
|
||
| def rx(theta: float = np.pi / 2): | ||
| """ | ||
| RX = [cos(θ / 2), -i * sin(θ / 2)] | ||
| [-i * sin(θ / 2), cos((θ / 2))] | ||
| ... | ||
| Args: | ||
| theta: default pi / 2. | ||
| """ | ||
| return np.array( | ||
| [ | ||
| [np.cos(theta / 2), 0 - 1j * np.sin(theta / 2)], | ||
| [0 - 1j * np.sin(theta / 2), np.cos(theta / 2)], | ||
| ], | ||
| "F", | ||
| ) | ||
|
|
||
|
|
||
| def ry(theta: float = np.pi / 2): | ||
| """ | ||
| RY = [cos(θ / 2), -1 * sin(θ / 2)] | ||
| [sin(θ / 2), cos((θ / 2))] | ||
| ... | ||
| Args: | ||
| theta: default pi / 2. | ||
| """ | ||
| return np.array( | ||
| [ | ||
| [np.cos(theta / 2), -1 * np.sin(theta / 2)], | ||
| [np.sin(theta / 2), np.cos(theta / 2)], | ||
| ], | ||
| "F", | ||
| ) | ||
|
|
||
|
|
||
| def sx(): | ||
| """ | ||
| SX = [1 + i, 1 - i] | ||
| [1 - i, 1 + i] * (1 / 2) | ||
| """ | ||
| return np.array([[1 + 1j, 1 - 1j], [1 - 1j, 1 + 1j]], "F") * (1 / 2) | ||
|
|
||
|
|
||
| def sxdg(): | ||
| """ | ||
| SXDG = [1 - i, 1 + i] | ||
| [1 + i, 1 - i] * (1 / 2) | ||
| """ | ||
| return np.array([[1 - 1j, 1 + 1j], [1 + 1j, 1 - 1j]], "F") * (1 / 2) | ||
|
|
||
|
|
||
| def u(theta: float = np.pi / 2, phi: float = np.pi / 2, lmbda: float = np.pi / 2): | ||
| """ | ||
| U = [cos(θ / 2), -1 * e^(i * λ) * sin(θ / 2)] | ||
| [e^(i * φ) * sin(θ / 2), e^(i * (λ + φ)) * cos(θ / 2)] | ||
| ... | ||
| Args: | ||
| theta: default pi / 2. | ||
| phi: default pi / 2. | ||
| lmbda: default pi / 2. | ||
| """ | ||
| return np.array( | ||
| [ | ||
| [np.cos(theta / 2), -1 * np.exp(0 + 1j * lmbda) * np.sin(theta / 2)], | ||
| [ | ||
| np.exp(0 + 1j * phi) * np.sin(theta / 2), | ||
| np.exp(0 + 1j * (lmbda + phi)) * np.cos(theta / 2), | ||
| ], | ||
| ], | ||
| "F", | ||
| ) | ||
|
|
||
|
|
||
| def r1(theta: float = np.pi / 2): | ||
| """ | ||
| r1 = [1, 0], | ||
| [0, exp(iθ)] | ||
| ... | ||
| Args: | ||
| theta: default pi / 2. | ||
| """ | ||
| return np.array([[1 + 0j, 0 + 0j], [0 + 0j, 0 + (1j * np.exp(theta))]], "F") | ||
|
|
||
|
|
||
| def cnot(): | ||
| """ | ||
| Matrix: | ||
| CNOT little endian = [1, 0, 0, 0] | ||
| [0, 0, 0, 1] | ||
| [0, 0, 1, 0] | ||
| [0, 1, 0, 0] | ||
| CNOT big endian = [1, 0, 0, 0] | ||
| [0, 1, 0, 0] | ||
| [0, 0, 0, 1] | ||
| [0, 0, 1, 0] | ||
| """ | ||
| return np.array( | ||
| [ | ||
| [1 + 0j, 0 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 1 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 0 + 0j, 1 + 0j], | ||
| [0 + 0j, 0 + 0j, 1 + 0j, 0 + 0j], | ||
| ], | ||
| "F", | ||
| ) | ||
|
|
||
|
|
||
| def swap(): | ||
| """ | ||
| Matrix: | ||
| Swap = [1, 0, 0, 0] | ||
| [0, 0, 1, 0] | ||
| [0, 1, 0, 0] | ||
| [0, 0, 0, 1] | ||
| """ | ||
| return np.array( | ||
| [ | ||
| [1 + 0j, 0 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 1 + 0j, 0 + 0j], | ||
| [0 + 0j, 1 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 0 + 0j, 1 + 0j], | ||
| ], | ||
| "F", | ||
| ) | ||
|
|
||
|
|
||
| def toffoli(): | ||
| """ | ||
| Matrix: | ||
| Toffoli = [1, 0, 0, 0, 0, 0, 0, 0] | ||
| [0, 1, 0, 0, 0, 0, 0, 0] | ||
| [0, 0, 1, 0, 0, 0, 0, 0] | ||
| [0, 0, 0, 1, 0, 0, 0, 0] | ||
| [0, 0, 0, 0, 1, 0, 0, 0] | ||
| [0, 0, 0, 0, 0, 1, 0, 0] | ||
| [0, 0, 0, 0, 0, 0, 0, 1] | ||
| [0, 0, 0, 0, 0, 0, 1, 0] | ||
| """ | ||
| return np.array( | ||
| [ | ||
| [1 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 1 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 1 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 0 + 0j, 1 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 1 + 0j, 0 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 1 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 1 + 0j], | ||
| [0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 0 + 0j, 1 + 0j, 0 + 0j], | ||
| ], | ||
| "F", | ||
| ) | ||
|
|
||
|
|
||
| def rxx(theta: float = np.pi / 2): | ||
| """ | ||
| Matrix: | ||
| RXX = [cos(θ / 2), 0, 0, -i * sin(θ / 2)] | ||
| [0, cos(θ / 2), -i * sin(θ / 2), 0] | ||
| [0, -i * sin(θ / 2), cos(θ / 2), 0] | ||
| [-i * sin(θ / 2), 0, 0, cos(θ / 2)] | ||
| ... | ||
| Args: | ||
| theta: default np.pi / 2 | ||
| """ | ||
| return np.array( | ||
| [ | ||
| [np.cos(theta / 2), 0 + 0j, 0 + 0j, 0 - 1j * np.sin(theta / 2)], | ||
| [0 + 0j, np.cos(theta / 2), 0 - 1j * np.sin(theta / 2), 0 + 0j], | ||
| [0 + 0j, 0 - 1j * np.sin(theta / 2), np.cos(theta / 2), 0 + 0j], | ||
| [0 - 1j * np.sin(theta / 2), 0 + 0j, 0 + 0j, np.cos(theta / 2)], | ||
| ], | ||
| "F", | ||
| ) | ||
|
|
||
|
|
||
| def rzz(theta: float = np.pi / 2): | ||
| """ | ||
| Matrix: | ||
| RZZ = [e^(-i * (θ / 2)), 0, 0, 0] | ||
| [0, e^(i * (θ / 2)), 0, 0] | ||
| [0, 0, e^(i * (θ / 2)), 0] | ||
| [0, 0, 0, e^(-i * (θ / 2))] | ||
| ... | ||
| Args: | ||
| theta: default np.pi / 2 | ||
| """ | ||
| return np.array( | ||
| [ | ||
| [np.exp(0 - 1j * (theta / 2)), 0 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, np.exp(0 + 1j * (theta / 2)), 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, np.exp(0 + 1j * (theta / 2)), 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 0 + 0j, np.exp(0 - 1j * (theta / 2))], | ||
| ], | ||
| "F", | ||
| ) | ||
|
|
||
|
|
||
| def cr(theta: float = np.pi / 2): | ||
| """ | ||
| Matrix: | ||
| CR = [1, 0, 0, 0] | ||
| [0, 1, 0, 0] | ||
| [0, 0, 1, 0] | ||
| [0, 0, 0, e^(θ * i)] | ||
| ... | ||
| Args: | ||
| theta: default np.pi / 2 | ||
| """ | ||
| return np.array( | ||
| [ | ||
| [1 + 0j, 0 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 1 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 1 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 0 + 0j, np.exp(theta * 0 + 1j)], | ||
| ], | ||
| "F", | ||
| ) | ||
|
|
||
|
|
||
| def cz(): | ||
| """ | ||
| Matrix: | ||
| CZ = [1, 0, 0, 0] | ||
| [0, 1, 0, 0] | ||
| [0, 0, 1, 0] | ||
| [0, 0, 0, -1] | ||
| """ | ||
| return np.array( | ||
| [ | ||
| [1 + 0j, 0 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 1 + 0j, 0 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 1 + 0j, 0 + 0j], | ||
| [0 + 0j, 0 + 0j, 0 + 0j, -1 + 0j], | ||
| ], | ||
| "F", | ||
| ) |