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- W4285662648 abstract "Evaluating the Torontonian function is a central computational challenge in the simulation of Gaussian Boson Sampling (GBS) with threshold detection. In this work, we propose a recursive algorithm providing a polynomial speedup in the exact calculation of the Torontonian compared to state-of-the-art algorithms. According to our numerical analysis the complexity of the algorithm is proportional to $N^{1.0691}2^{N/2}$ with $N$ being the size of the problem. We also show that the recursive algorithm can be scaled up to HPC use cases making feasible the simulation of threshold GBS up to $35-40$ photon clicks without the needs of large-scale computational capacities." @default.
- W4285662648 created "2022-07-17" @default.
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- W4285662648 date "2021-09-09" @default.
- W4285662648 modified "2023-10-01" @default.
- W4285662648 title "Polynomial speedup in Torontonian calculation by a scalable recursive algorithm" @default.
- W4285662648 doi "https://doi.org/10.48550/arxiv.2109.04528" @default.
- W4285662648 hasPublicationYear "2021" @default.
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