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All you need is Trotter

Published 2 Nov 2023 in quant-ph | (2311.01533v3)

Abstract: The work here enables linear cost-scaling with evolution time $t$ while keeping ${\rm polylog} (1/\epsilon)$ scaling and no extra block-encoding qubits, where $\epsilon$ is the algorithmic error. This is achieved through product formulas, stable interpolation (Chebyshev), and to calculate the needed fractional queries, cardinal sine interpolation is used.

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Authors (1)

  1. Gumaro Rendon 

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