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Advances in time-independent Hamiltonian simulation algorithms

Year: 2026
Type: article
Abstract: Quantum simulation is a rapidly advancing field poised to revolutionize our understanding of complex quantum systems by harnessing the unique capabilities of quantum computers. In this review, we present a concise overview of key developments in quantum simulation algorithms, with a focus on time-independent digital Hamiltonian simulation of quantum dynamics. We review seminal methods—from traditional Trotter formulas to techniques such as truncated Taylor series combined with the linear combination of unitaries, and quantum signal processing. Additionally, we examine error analyses and recent innovations that enhance the efficiency and accuracy of quantum simulations.
Language: English
Open Access status: hybrid
Estimated APC paid: $2,290
OpenAlex ID: W7208756410
FWCI:
Cites: 82
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