Non-stabilizerness with Neural Quantum States
ORAL
Abstract
Magic, or non-stabilizerness, has recently emerged as a crucial measure of quantum complexity and classical simulability.
In this work, we introduce a novel framework for quantifying magic in quantum many-body systems based on Neural Quantum States (NQS).
Our approach targets systems in high-dimension and with large entanglement, pushing the limits of existing computational paradigms.
After benchmarking against established techniques based on Matrix Product States, we apply our method to the paradigmatic J1-J2 Heisenberg model on the square lattice, whose study has proven to be challenging for traditional numerical schemes.
We compute the magic diagram of this 2D system, revealing a sharp dip of the non-stabilizerness in the regime of maximum frustration, in conjunction with the putative phase transition of the model.
In this work, we introduce a novel framework for quantifying magic in quantum many-body systems based on Neural Quantum States (NQS).
Our approach targets systems in high-dimension and with large entanglement, pushing the limits of existing computational paradigms.
After benchmarking against established techniques based on Matrix Product States, we apply our method to the paradigmatic J1-J2 Heisenberg model on the square lattice, whose study has proven to be challenging for traditional numerical schemes.
We compute the magic diagram of this 2D system, revealing a sharp dip of the non-stabilizerness in the regime of maximum frustration, in conjunction with the putative phase transition of the model.
*This research is supported by SEFRI under Grant No.\ MB22.00051 (NEQS - Neural Quantum Simulation).
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Publication: Alessandro Sinibaldi, Antonio Francesco Mello, Mario Collura, and Giuseppe Carleo, Non-stabilizerness with Neural Quantum States, in preparation
Presenters
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Alessandro Sinibaldi
- École Polytechnique Fédérale de Lausanne