Optimal-order Trotter–Suzuki decomposition for quantum simulation on noisy quantum computers: Optimal-order Trotter–Suzuki decomposition

The potential of employing higher orders of the Trotter–Suzuki decomposition of the evolution operator for more effective simulations of quantum systems on a noisy quantum computer is explored. By examining the transverse-field Ising model and the XY model, it is demonstrated that when the gate erro...

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Bibliographic Details
Published in:Quantum information processing 2024-12, Vol.24 (1)
Main Authors: Avtandilyan, A. A., Pogosov, W. V.
Format: Article
Language:English
Subjects:
Data Structures and Information Theory
Mathematical Physics
Physics
Physics and Astronomy
Quantum Computing
Quantum Information Technology
Quantum Physics
Spintronics
Online Access:Get full text
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Summary:The potential of employing higher orders of the Trotter–Suzuki decomposition of the evolution operator for more effective simulations of quantum systems on a noisy quantum computer is explored. By examining the transverse-field Ising model and the XY model, it is demonstrated that when the gate error is decreased by approximately an order of magnitude relative to typical modern values, higher-order Trotterization becomes advantageous. This form of Trotterization yields a global minimum of the overall simulation error, comprising both the mathematical error of Trotterization and the physical error arising from gate execution.
ISSN:1573-1332
DOI:10.1007/s11128-024-04627-z