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Quantifying non-stabilizerness via information scrambling
by Arash Ahmadi, Eliska Greplova
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Submission summary
| Authors (as registered SciPost users): | Arash Ahmadi |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2204.11236v5 (pdf) |
| Code repository: | https://gitlab.com/QMAI/papers/magicinfoscrambling |
| Date accepted: | 2024-02-01 |
| Date submitted: | 2024-01-12 10:59 |
| Submitted by: | Ahmadi, Arash |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
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.
List of changes
Figure 4 updated
Published as SciPost Phys. 16, 043 (2024)