AerEstimatorV2 fails to execute small circuits transpiled against larger backends

[nonhermitian]

Informations

• Qiskit Aer version: 0.15.1
• Python version:
• Operating system:

What is the current behavior?

AerEstimatorV2 gives memory error when trying to execute small circuits that have been transpiled against larger backends. Essentially it is the same issue as #2084

Steps to reproduce the problem

Try this circuit and operator transpiled against an Eagle machine

N = 12
qc = QuantumCircuit(N)

qc.x(range(N))
qc.h(range(N))

for kk in range(N // 2, 0, -1):
    qc.ch(kk, kk - 1)
for kk in range(N // 2, N - 1):
    qc.ch(kk, kk + 1)

op = SparsePauliOp('Z'*12)

I currently get

QiskitError: 'ERROR: [Experiment 0] Insufficient memory to run circuit circuit-205 using the statevector simulator. Required memory: 18446744073709551615M, max memory: 127903M , ERROR: Insufficient memory to run circuit circuit-205 using the statevector simulator. Required memory: 18446744073709551615M, max memory: 127903M'

But the active number of qubits is only 12

What is the expected behavior?

The simulation should work if the number of active qubits is small enough to fit in memory

Suggested solutions