Entanglement scaling in matrix product state representation of smooth functions and their shallow quantum circuit approximations
Publications
We show how using Haiqu’s Tensor Network tools extremely shallow and accurate quantum circuits encoding data such as probability distributions can be prepared for large qubit numbers. Such circuits are required in quantum finance applications, where naive data loading may ruin any chance of quantum advantage. In our work we analyse theoretical properties of such encodings and demonstrate our algorithm loading the largest to-date examples of financial distributions on up to 156 qubits.
Date: 20 April 2026
Journal/conference link and reference: Phys. Rev. Research 8, 023062 (2026)
https://journals.aps.org/prresearch/abstract/10.1103/yyvr-dtsb
