Add initial qiskit-neko CI job

.github/workflows/neko.yml

@@ -0,0 +1,18 @@
+name: Qiskit Neko Integration Tests
+on:
+  push:
+  pull_request:
+    branches: ['main', 'stable/*']
+concurrency:
+  group: ${{ github.repository }}-${{ github.ref }}-${{ github.head_ref }}-${{ github.workflow }}
+  # Only cancel in PR mode.  In push mode, don't cancel so we don't see spurious test "failures".
+  cancel-in-progress: ${{ github.event_name == 'pull_request' }}
+jobs:
+  neko:
+    if: github.repository_owner == 'Qiskit'
+    name: Qiskit Neko Integration Tests
+    runs-on: ubuntu-latest
+    steps:
+      - uses: Qiskit/qiskit-neko@main
+        with:
+          test_selection: backend