A parallelized MPS encoding gives logarithmic-depth circuits for low-rank states, with two-CNOT gates and grid-topology adaptation, validated numerically on smooth functions and distributions.
Quantum spectral methods for differential equa- tions.Communications in Mathematical Physics, 375(2):1427–1457, 2020
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Quantum State Preparation by Improved MPS Method
A parallelized MPS encoding gives logarithmic-depth circuits for low-rank states, with two-CNOT gates and grid-topology adaptation, validated numerically on smooth functions and distributions.