TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.2.043
TI  - Quantifying non-stabilizerness via information scrambling
PY  - 2024/02/08
UR  - https://scipost.org/SciPostPhys.16.2.043
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 2
SP  - 043
A1  - Ahmadi, Arash
AU  - Greplova, Eliska
AB  - The advent of quantum technologies brought forward much attention to the theoretical characterization of the computational resources they provide. A method to quantify quantum resources is to use a class of functions called magic monotones and stabilizer entropies, which are, however, notoriously hard and impractical to evaluate for large system sizes. In recent studies, a fundamental connection between information scrambling, the magic monotone mana and 2-Renyi stabilizer entropy was established. This connection simplified magic monotone calculation, but this class of methods still suffers from exponential scaling with respect to the number of qubits. In this work, we establish a way to sample an out-of-time-order correlator that approximates magic monotones and 2-Renyi stabilizer entropy. We numerically show the relation of these sampled correlators to different non-stabilizerness measures for both qubit and qutrit systems and provide an analytical relation to 2-Renyi stabilizer entropy. Furthermore, we put forward and simulate a protocol to measure the monotonic behaviour of magic for the time evolution of local Hamiltonians.
ER  -

@Article{10.21468/SciPostPhys.16.2.043,
	title={{Quantifying non-stabilizerness via information scrambling}},
	author={Arash Ahmadi and Eliska Greplova},
	journal={SciPost Phys.},
	volume={16},
	pages={043},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.2.043},
	url={https://scipost.org/10.21468/SciPostPhys.16.2.043},
}