Quantum real-time evolution using tensor renormalization group methods

• URL: http://arxiv.org/abs/2411.05301v1
• Date: Fri, 08 Nov 2024 03:05:26 GMT
• Title: Quantum real-time evolution using tensor renormalization group methods
• Authors: Michael Hite, Yannick Meurice,
• Abstract summary: We introduce an approach for approximate real-time evolution of quantum systems using Renormalization Group (TRG) methods originally developed for imaginary time. We show that it is effective and efficient in evolving Gaussian wave packets for one and two particles in the disordered phase.
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• Abstract: We introduce an approach for approximate real-time evolution of quantum systems using Tensor Renormalization Group (TRG) methods originally developed for imaginary time. We use Higher- Order TRG (HOTRG) to generate a coarse-grained time evolution operator for a 1+1D Transverse Ising Model with a longitudinal field. We show that it is effective and efficient in evolving Gaussian wave packets for one and two particles in the disordered phase. Near criticality behavior is more challenging in real-time. We compare our algorithm with local simulators for universal quantum computers and discuss possible benchmarking in the near future.

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