SciPost Submission Page
Magic phase transition and non-local complexity in generalized W State
by A. G. Catalano, J. Odavić, G. Torre, A. Hamma, F. Franchini, S. M. Giampaolo
Submission summary
| Authors (as registered SciPost users): | Alberto Giuseppe Catalano · Salvatore Marco Giampaolo · Jovan Odavić |
| Submission information | |
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| Preprint Link: | scipost_202509_00040v2 (pdf) |
| Date accepted: | Oct. 14, 2025 |
| Date submitted: | Oct. 9, 2025, 2:53 p.m. |
| Submitted by: | Salvatore Marco Giampaolo |
| Submitted to: | SciPost Physics Core |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We employ the Stabilizer Renyi Entropy (SRE) to characterize a quantum phase transition that has so far eluded any standard description and can thus now be explained in terms of the interplay between its non-stabilizer properties and entanglement. The transition under consideration separates a region with a unique ground state from one with a degenerate ground state manifold spanned by states with finite and opposite (intensive) momenta. We show that SRE has a jump at the crossing points, while the entanglement entropy remains continuous. Moreover, by leveraging on a Clifford circuit mapping, we connect the observed jump in SRE to that occurring between standard and generalized $W$-states with finite momenta. This mapping allows us to quantify the SRE discontinuity analytically.
Author comments upon resubmission
Following the suggestion of Referee 2, we have transferred our submission from SciPost Physics to SciPost Core.
We have also revised the text according to the list of minor remarks provided by Referee 1.
My coauthors and I are confident that this revised version of the manuscript now meets the standards for publication in SciPost Core.
List of changes
To address the requests of Referee 2, we have implemented the following changes in the manuscript.
- We change the title of the third section of the paper;
- We reduced some acronyms as AFM and gWs;
- We modified the paragraph below Eq.(7) to make evident what the regions of parameters induce frustration in the system;
- We fixed some typos;
- We removed the colored text that was used to highlight the extensive changes between the two previous versions;
Published as SciPost Phys. Core 8, 078 (2025)