update 0.0.4

PyPI/src/guan/basic_functions.py

@@ -0,0 +1,67 @@
+# basic functions
+
+import numpy as np
+
+## Pauli matrices
+
+def sigma_0():
+    return np.eye(2)
+
+def sigma_x():
+    return np.array([[0, 1],[1, 0]])
+
+def sigma_y():
+    return np.array([[0, -1j],[1j, 0]])
+
+def sigma_z():
+    return np.array([[1, 0],[0, -1]])
+
+## Kronecker product of Pauli matrices
+
+def sigma_00():
+    return np.kron(sigma_0(), sigma_0())
+
+def sigma_0x():
+    return np.kron(sigma_0(), sigma_x())
+
+def sigma_0y():
+    return np.kron(sigma_0(), sigma_y())
+
+def sigma_0z():
+    return np.kron(sigma_0(), sigma_z())
+
+def sigma_x0():
+    return np.kron(sigma_x(), sigma_0())
+
+def sigma_xx():
+    return np.kron(sigma_x(), sigma_x())
+
+def sigma_xy():
+    return np.kron(sigma_x(), sigma_y())
+
+def sigma_xz():
+    return np.kron(sigma_x(), sigma_z())
+
+def sigma_y0():
+    return np.kron(sigma_y(), sigma_0())
+
+def sigma_yx():
+    return np.kron(sigma_y(), sigma_x())
+
+def sigma_yy():
+    return np.kron(sigma_y(), sigma_y())
+
+def sigma_yz():
+    return np.kron(sigma_y(), sigma_z())
+
+def sigma_z0():
+    return np.kron(sigma_z(), sigma_0())
+
+def sigma_zx():
+    return np.kron(sigma_z(), sigma_x())
+
+def sigma_zy():
+    return np.kron(sigma_z(), sigma_y())
+
+def sigma_zz():
+    return np.kron(sigma_z(), sigma_z())