Measuring Trotter error and its application to precision-guaranteed Hamiltonian simulations

Trotterization is the most common and convenient approximation method for Hamiltonian simulations on digital quantum computers, but estimating its error accurately is computationally difficult for large quantum systems. Here, we develop a method for measuring the Trotter error without ancillary qubi...

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Veröffentlicht in:	arXiv.org 2024-07
Hauptverfasser:	Ikeda, Tatsuhiko N, Kono, Hideki, Fujii, Keisuke
Format:	Artikel
Sprache:	eng
Schlagworte:	Algorithms Circuits Error analysis Physics - Computational Physics Physics - High Energy Physics - Lattice Physics - Materials Science Physics - Quantum Physics Physics - Strongly Correlated Electrons Time dependence Upper bounds
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Zusammenfassung:	Trotterization is the most common and convenient approximation method for Hamiltonian simulations on digital quantum computers, but estimating its error accurately is computationally difficult for large quantum systems. Here, we develop a method for measuring the Trotter error without ancillary qubits on quantum circuits by combining the \(m\)th- and \(n\)th-order (\(m
ISSN:	2331-8422
DOI:	10.48550/arxiv.2307.05406