Update verify Aer pages to use aer primitives v2

[javabster]

trafficstars

Once aer is updated to use v2 primitives we should update these pages to use them:

• https://docs.quantum.ibm.com/verify/simulate-with-qiskit-aer
• https://docs.quantum.ibm.com/verify/stabilizer-circuit-simulation

[kevinsung]

~We could also consider rewriting this page to use "local testing mode" with an Aer backend. See https://github.com/Qiskit/qiskit-aer/issues/2078#issuecomment-2012736552.~

Never mind, I just realized we already have a page dedicated to local testing mode.

[kevinsung]

Updating https://docs.quantum.ibm.com/verify/stabilizer-circuit-simulation is blocked by https://github.com/Qiskit/qiskit-aer/issues/2117.

[kevinsung]

Updating https://docs.quantum.ibm.com/verify/stabilizer-circuit-simulation is blocked by https://github.com/Qiskit/qiskit-aer/issues/2164

[kevinsung]

Closed by #1490 and #1496