Magic phase transition and non-local complexity in generalized $W$ State

• URL: http://arxiv.org/abs/2406.19457v1
• Date: Thu, 27 Jun 2024 18:00:06 GMT
• Title: Magic phase transition and non-local complexity in generalized $W$ State
• Authors: A. G. Catalano, J. Odavić, G. Torre, A. Hamma, F. Franchini, S. M. Giampaolo,
• Abstract summary: We employ the Stabilizer Renyi Entropy (SRE) to characterize a quantum phase transition. We show that SRE has a jump at the crossing points, while the entanglement entropy remains continuous.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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