Symmetric Trotterization in digital quantum simulation of quantum spin dynamics

• URL: http://arxiv.org/abs/2603.07903v1
• Date: Mon, 09 Mar 2026 02:51:14 GMT
• Title: Symmetric Trotterization in digital quantum simulation of quantum spin dynamics
• Abstract summary: A higher-order Suzuki-Trotter decomposition can be exploited to mitigate the Trotter error in digital quantum simulation.<n>This work revisits the second-order symmetric Trotterization in terms of the Trotter error.<n>The effectiveness of the symmetric Trotterization is evaluated in a prototype superconducting quantum device.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A higher-order Suzuki-Trotter decomposition or Trotterization can be exploited to mitigate the Trotter error in digital quantum simulation. This work revisits the second-order symmetric Trotterization in terms of the Trotter error, where quantum many-body spin dynamics of the transverse-field Ising model is simulated. While the work presents a pedagogical way to exploit a real quantum computer, the effectiveness of the symmetric Trotterization is evaluated in a prototype superconducting quantum device on IBM Quantum Experience. It turns out that the symmetric Trotterization does not provide higher accuracy than the first-order Trotterization in the testbed using the transverse-field Ising model. The result indicates that apart from the quantum errors, such as logical gate error and readout error, the use of a higher-order Trotterization should be circumspect, and the Trotter error would play an insignificant role in particular applications in an early stage of realized noisy intermediate-scale quantum (NISQ) devices.

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