Environment

• Qiskit version: main
• Python version: doesn't matter
• Operating system: doesn't matter

What is happening?

When I build a Qiskit Target that supports two qubit basis gates with arbitrary rotation angle, it cannot transpile the circuit if the added basis gate is other than RZXGate or RXXGate.

How can we reproduce the issue?

from qiskit.providers.fake_provider import GenericBackendV2
from qiskit import quantum_info as qi, transpile, QuantumCircuit

backend = GenericBackendV2(2, basis_gates=["rz", "rx", "rzz"])
qc = QuantumCircuit(2)
qc.unitary(qi.random_unitary(4), [0, 1])
isa = transpile(qc, target=backend.target)

this results in an error

TypeError: ParameterExpression with unbound parameters (dict_keys([Parameter(ϴ)])) cannot be cast to a float.

because it tries to get the unitary matrix of parameterized RZZGate(Parameter(ϴ)) instruction.

On the other hand, it transpiles circuit when I directly specify the basis gates.

isa = transpile(qc, basis_gates=["rz", "rx", "rzz"])

What should happen?

• Qiskit transpiler should support arbitrary fractional two qubit basis gates, e.g. RZX, RXX, RYY, RZZ, RXY, ....
• Transpiling with Target and giving basis_gates should behave identically.

This is related but might be a feature request; even if I give RZXGate(Parameter(ϴ)) in the target, current synthesis algorithm only picks pi/4 rotation. The synthesis pass should consider another angle if there is possibility of reducing the circuit depth.

Any suggestions?

No. I'm not familiar with synthesis passes.