Quantum space-depth tradeoffs for coherent block encodings
The paper explores creating efficient block encodings for quantum operators using minimal ancilla qubits instead of standard methods. It shows that by using higher-order Trotterization or multiproduct formulas, researchers can achieve single-ancilla constructions or polylogarithmic ancilla overhead. This allows for resource-efficient Hamiltonian simulations and Quantum Singular Value Transformation (QSVT) tools.