Derives rigorous entanglement scaling laws in MPS for smooth real or complex functions and applies them via tensor cross interpolation to construct and test shallow quantum encoding circuits on up to 156 qubits.
O(dlog n)-quantics approximation of n-d tensors in high-dimensional numerical modeling
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Entanglement scaling in matrix product state representation of smooth functions and their shallow quantum circuit approximations
Derives rigorous entanglement scaling laws in MPS for smooth real or complex functions and applies them via tensor cross interpolation to construct and test shallow quantum encoding circuits on up to 156 qubits.