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

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), Article 8
Main Authors: Avtandilyan, A. A., Pogosov, W. V.
Format: Article
Language:English
Subjects:
Decomposition
Errors
Ising model
Quantum computers
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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
1570-0755
1573-1332
DOI:10.1007/s11128-024-04627-z