PyOR Quantum

Author: Vineeth Thalakottoor

Introduction to Zeeman States

[1]:

# Define the source path
SourcePath = '/media/HD2/Vineeth/PostDoc_Simulations/Github/PyOR_V1/PyOR_Combined/PyOR/Source_Doc'

# Add source path
import sys
sys.path.append(SourcePath)

# Import PyOR package
from PyOR_QuantumSystem import QuantumSystem as QunS

[2]:

# Define the spin system
Spin_list = {"A" : "H1","B" : "H1","C" : "H1"}
QS = QunS(Spin_list,PrintDefault=False)

# initialize the system
QS.Initialize()

[3]:

X1 = QS.State({"A": 1/2,"B": 1/2,"C": 1/2})
X1.matrix

[3]:

$\displaystyle \left[\begin{matrix}1.0\\0\\0\\0\\0\\0\\0\\0\end{matrix}\right]$

[4]:

X2 = QS.State({"A": 1/2,"B": 1/2,"C": -1/2})
X2.matrix

[4]:

$\displaystyle \left[\begin{matrix}0\\1.0\\0\\0\\0\\0\\0\\0\end{matrix}\right]$

[5]:

X3 = QS.State({"A": 1/2,"B": -1/2,"C": 1/2})
X3.matrix

[5]:

$\displaystyle \left[\begin{matrix}0\\0\\1.0\\0\\0\\0\\0\\0\end{matrix}\right]$

[6]:

X4 = QS.State({"A": 1/2,"B": -1/2,"C": -1/2})
X4.matrix

[6]:

$\displaystyle \left[\begin{matrix}0\\0\\0\\1.0\\0\\0\\0\\0\end{matrix}\right]$

[7]:

X5 = QS.State({"A": -1/2,"B": 1/2,"C": 1/2})
X5.matrix

[7]:

$\displaystyle \left[\begin{matrix}0\\0\\0\\0\\1.0\\0\\0\\0\end{matrix}\right]$

[8]:

X6 = QS.State({"A": -1/2,"B": 1/2,"C": -1/2})
X6.matrix

[8]:

$\displaystyle \left[\begin{matrix}0\\0\\0\\0\\0\\1.0\\0\\0\end{matrix}\right]$

[9]:

X7 = QS.State({"A": -1/2,"B": -1/2,"C": 1/2})
X7.matrix

[9]:

$\displaystyle \left[\begin{matrix}0\\0\\0\\0\\0\\0\\1.0\\0\end{matrix}\right]$

[10]:

X8 = QS.State({"A": -1/2,"B": -1/2,"C": -1/2})
X8.matrix

[10]:

$\displaystyle \left[\begin{matrix}0\\0\\0\\0\\0\\0\\0\\1.0\end{matrix}\right]$