Randomized suppression of tensor-network truncation errors

Develop randomized truncation procedures for time-evolving block decimation and the time-dependent variational principle that suppress the truncation error in randomly compiled quantum trajectories simulations.

Background

The randomly compiled quantum trajectories method reduces Trotterization error by averaging over randomly corrected time-evolution formulas. Its tensor-network implementations still incur truncation errors when matrix-product-state bond dimensions are reduced after TEBD gates or during variational time evolution. The paper identifies randomized truncation as a possible additional mechanism for reducing this error, but does not develop or analyze such a method.

References

In addition, randomization could be incorporated into the truncation step present in both TEBD and TDVP to suppress truncation error, as suggested in Refs., but we leave this to future work.

— Faster Quantum Monte Carlo Simulation by Random Compilation  (2609.10486 - Martyn et al., 9 Sep 2026) in Section 5.1, subsection “Numerical Experiments”