Cartan decomposition of SU(2n) and control of spin systems

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Large-scale silicon quantum photonics implementing arbitrary two-qubit processing (2018, background): “uk [1] Navin Khaneja and Steffen J Glaser.”
Quantum control theory and applications: A survey (2009, unknown): “A straightforward strategy for constructing a suitable control law is based on a Lie group decomposition, where the desired system evolution operator Uf is decomposed as the product of basic unitary operators which are easy to generate using simple controls [25], [102], [103].”
t|ket⟩: a retargetable compiler for NISQ devices (2020, methodology): “The Cartan decomposition [67] specifies a way to synthesise arbitrary n-qubit unitaries into sequences of local unitaries on fewer qubits and a small number of entangling operations between them.”