\n", "

\n",
"

\n",
"\n",
"For an initial state, $|\\psi(0)\\rangle$ and a time independent Hamiltonian $H$ , the final state $|\\psi(t)\\rangle$ is $|\\psi(t)\\rangle = e^{-iHt}|\\psi(0)\\rangle$. Therefore, by constructing an appropriate gate for the unitary operator $e^{-iHt}$, we can build a quantum circuit that simulates the evolution of the quantum state $|\\psi\\rangle$."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Goal**

In this lab, we consider changes to a quantum state viewed as an evolution process generated by a given Hamiltonian. For a specified Hamiltonian, there is a corresponding unitary operator that determines the final state for any given initial state. \n", "

\n", "