This paper proposes a nested state preparation circuit construction with a high degree of quantum parallelism. We test this circuit to load a variety of data sets stemming from applications and process them directly on a real QPU.
In this paper, we introduce a notion of commutativity between operators on a tensor product space, nominally Pauli strings on qubits, that interpolates between qubit-wise commutativity and (full) commutativity.