Support `ParameterExpression`s with operations other then add, mul, div, and neg

[jcjaskula-aws]

Steps to reproduce the problem

Translating circuits like:

qiskit_circuit = QuantumCircuit(1)
v = ParameterVector("v", 2)
qiskit_circuit.rx(Parameter("a")/Parameter("b"), 0)
braket_circuit = to_braket(qiskit_circuit)

will throw an error because we serialize and parse the ast to create a FreeParameterExpression instead of relying on Sympy.

What is the current behavior?

Throws an error.

ValueError: Unsupported binary operation: <class 'ast.Div'>

What is the expected behavior?

Create a correct FreeParameterExpression.

[ashlhans]

Thank you for this issue! We will look into this.

[jcjaskula-aws]

Dumping some thoughts here:

• Sympy could do heavy-lifting via Parameter.sympify() and then create the Braket FreeParameterExpression.
• we are parsing ParameterExpression string to rename ParameterVectorElement, which conflicts with the first point.
• Someone could always use Parameter("a")*Parameter("b") and assign inverted values to b.

[speller26]

Division will be solved with amazon-braket/amazon-braket-sdk-python#885