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- W4285787419 abstract "We introduce a framework of the equivariant convolutional algorithms which is tailored for a number of machine-learning tasks on physical systems with arbitrary SU($d$) symmetries. It allows us to enhance a natural model of quantum computation--permutational quantum computing (PQC) [Quantum Inf. Comput., 10, 470-497 (2010)] --and defines a more powerful model: PQC+. While PQC was shown to be effectively classically simulatable, we exhibit a problem which can be efficiently solved on PQC+ machine, whereas the best known classical algorithms runs in $O(n!n^2)$ time, thus providing strong evidence against PQC+ being classically simulatable. We further discuss practical quantum machine learning algorithms which can be carried out in the paradigm of PQC+." @default.
- W4285787419 created "2022-07-19" @default.
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- W4285787419 date "2022-07-14" @default.
- W4285787419 modified "2023-09-25" @default.
- W4285787419 title "On the Super-exponential Quantum Speedup of Equivariant Quantum Machine Learning Algorithms with SU($d$) Symmetry" @default.
- W4285787419 doi "https://doi.org/10.48550/arxiv.2207.07250" @default.
- W4285787419 hasPublicationYear "2022" @default.
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