Replace VQEProgram with VQEClient in qiskit-nature notebook

[HuangJunye]

VQEProgram has been deprecated and VQEClient should be used instead.

qiskit-application-modules-demo-sessions/qiskit-nature/Qiskit_Nature_YouTube_Tutorial.ipynb

Lines 1915 to 1957 in 61b623a

	"And finally we can construct a new VQE solver using `VQEProgram`:"
	]
	},
	{
	"cell_type": "markdown",
	"id": "93b95cf7",
	"metadata": {
	"slideshow": {
	"slide_type": "notes"
	}
	},
	"source": [
	"> Note: `VQEProgram` will be renamed to `VQEClient` in Qiskit Nature v0.3.0!"
	]
	},
	{
	"cell_type": "code",
	"execution_count": 25,
	"id": "6f57f58e",
	"metadata": {
	"slideshow": {
	"slide_type": "-"
	}
	},
	"outputs": [],
	"source": [
	"from qiskit_nature.runtime import VQEProgram\n",
	"\n",
	"optimizer = {\n",
	" \"name\": \"SPSA\",\n",
	" \"maxiter\": 50,\n",
	"}\n",
	"initial_point = np.random.random(ansatz.num_parameters)\n",
	" \n",
	"runtime_vqe = VQEProgram(\n",
	" ansatz=ansatz,\n",
	" optimizer=optimizer,\n",
	" initial_point=initial_point,\n",
	" provider=provider,\n",
	" backend=backend,\n",
	" shots=1024,\n",
	" measurement_error_mitigation=True,\n",
	")"

[garrison]

The qiskit-finance notebook needs to be updated as well.

[stormshawn]

I will try this as a first issue if no one has already started working on it.

[HuangJunye]

@stormshawn Sure, thank you! I will assign you.