Add Hermitian Support for Finite-Shot Measurement Statistics #8150

Job	Run time
Determine runner type to use / determine_workflow_runner	1s
Set build matrix / set-constants	5s
Catalyst-Runtime Build (gcc)	2m 13s
Runtime Code Coverage (Linux)	2m 55s
LLVM Build (gcc)	41s
MHLO Dialect Build (gcc)	8s
Enzyme Build (gcc)	18s
Quantum Dialects Build (gcc)	1m 21s
Runtime Tests (Linux) (lightning, gcc)	5m 58s
Runtime Tests (Linux) (lightning-kokkos, gcc)	2m 34s
Runtime Tests (Linux) (openqasm, gcc)	5m 20s
Runtime Tests (Linux) (oqc, gcc)	1m 5s
Frontend Tests (gcc)	7m 29s
Frontend Tests (backend="lightning.kokkos") (gcc)	6m 42s
Frontend Tests (backend="openqasm3") (gcc)	1m 50s
	38m 40s

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