Add 100q QV circuit to PGO scripts (#12858) (#12861)

To get better coverage for PGO, including more examples of two qubit
synthesis, this commit adds a new PGO script to the benchmarks for
running a 100q quantum volume circuit. This provides a different dense
circuit than the other 100q circuits we were running. At the time the
pgo scripts were added this was excluded because it was too slow at the
time. However for the upcoming 1.2 release the transpile time has sped
up a bit so this isn't such a concern anymore as the local transpile
time is now ~2min which seems within the threshold for pgo time.

(cherry picked from commit b75c2e0)

Co-authored-by: Matthew Treinish <mtreinish@kortar.org>

tools/pgo_scripts/test_utility_scale.py

@@ -18,6 +18,7 @@
 from qiskit import qasm2
 from qiskit.providers.fake_provider import GenericBackendV2
 from qiskit.transpiler import CouplingMap
+from qiskit.circuit.library import QuantumVolume
 from qiskit.transpiler.preset_passmanagers import generate_preset_pass_manager
 
 QASM_DIR = os.path.join(
@@ -78,12 +79,11 @@ def _main():
         strict=False,
     )
     qaoa_circ.name = "qaoa_barabasi_albert_N100_3reps"
-    # Uncomment when this is fast enough to run during release builds
-    # qv_circ = QuantumVolume(100, seed=123456789)
-    # qv_circ.measure_all()
-    # qv_circ.name = "QV1267650600228229401496703205376"
+    qv_circ = QuantumVolume(100, seed=123456789)
+    qv_circ.measure_all()
+    qv_circ.name = "QV1267650600228229401496703205376"
     for pm in [cz_pm, ecr_pm, cx_pm]:
-        for circ in [qft_circ, square_heisenberg_circ, qaoa_circ]:
+        for circ in [qft_circ, square_heisenberg_circ, qaoa_circ, qv_circ]:
             print(f"Compiling: {circ.name}")
             pm.run(circ)