Hybrid Stabilizer Matrix Product Operator

TL;DR

This paper presents a hybrid tensor network and stabilizer formalism approach to improve classical simulation of complex many-body quantum systems, especially for unitary dynamics and entanglement management.

Contribution

It introduces a novel hybrid method combining tensor networks with stabilizer formalism for more efficient quantum system simulations.

Findings

Effective modeling of random Clifford T-doped circuits

Enhanced simulation of Random Clifford Floquet Dynamics

Potential for advancing quantum simulation research

Abstract

We introduce a novel hybrid approach combining tensor network methods with the stabilizer formalism to address the challenges of simulating many-body quantum systems. By integrating these techniques, we enhance our ability to accurately model unitary dynamics while mitigating the exponential growth of entanglement encountered in classical simulations. We demonstrate the effectiveness of our method through applications to random Clifford T-doped circuits and Random Clifford Floquet Dynamics. This approach offers promising prospects for advancing our understanding of complex quantum phenomena and accelerating progress in quantum simulation.