TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhysCore.8.4.078
TI  - Magic phase transition and non-local complexity in generalized W State
PY  - 2025/11/06
UR  - https://www.scipost.org/SciPostPhysCore.8.4.078
JF  - SciPost Physics Core
JA  - SciPost Phys. Core
VL  - 8
IS  - 4
SP  - 078
A1  - Catalano, Alberto Giuseppe
AU  - Odavić, Jovan
AU  - Torre, Gianpaolo
AU  - Hamma, Alioscia
AU  - Franchini, Fabio
AU  - Giampaolo, Salvatore Marco
AB  - We employ the Stabilizer Rényi 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 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.
ER  -

@Article{10.21468/SciPostPhysCore.8.4.078,
	title={{Magic phase transition and non-local complexity in generalized W State}},
	author={Alberto Giuseppe Catalano and Jovan Odavić and Gianpaolo Torre and Alioscia Hamma and Fabio Franchini and Salvatore Marco Giampaolo},
	journal={SciPost Phys. Core},
	volume={8},
	pages={078},
	year={2025},
	publisher={SciPost},
	doi={10.21468/SciPostPhysCore.8.4.078},
	url={https://scipost.org/10.21468/SciPostPhysCore.8.4.078},
}