Catalano, Alberto Giuseppe; Odavić, Jovan; Torre, Gianpaolo; Hamma, Alioscia; Franchini, Fabio; Giampaolo, Salvatore Marco (2025) Magic phase transition and non-local complexity in generalized W State. SciPost Physics Core, 8 (4). ISSN 2666-9366
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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 -states with finite momenta. This mapping allows us to quantify the SRE discontinuity analytically.
| Item Type: | Article | ||||||||||||
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| Uncontrolled Keywords: | Spin Chain; Magic; Non-Stabilizerness; W State; Frustration; Quantum; Phase Transition | ||||||||||||
| Subjects: | NATURAL SCIENCES > Physics > Atomic and Molecular Physics NATURAL SCIENCES > Physics > Condensed Matter Physics |
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| Divisions: | Theoretical Physics Division | ||||||||||||
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| Depositing User: | Fabio Franchini | ||||||||||||
| Date Deposited: | 23 Jan 2026 11:01 | ||||||||||||
| URI: | http://fulir.irb.hr/id/eprint/11086 | ||||||||||||
| DOI: | 10.21468/SciPostPhysCore.8.4.078 |
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