Universal Spreading of Nonstabilizerness and Quantum Transport

• URL: http://arxiv.org/abs/2506.12133v1
• Date: Fri, 13 Jun 2025 18:00:02 GMT
• Title: Universal Spreading of Nonstabilizerness and Quantum Transport
• Authors: Emanuele Tirrito, Poetri Sonya Tarabunga, Devendra Singh Bhakuni, Marcello Dalmonte, Piotr Sierant, Xhek Turkeshi,
• Abstract summary: We quantify wave-function delocalization using participation entropy (PE), a measure rooted in the coherence theory of pure states, and assess nonstabilizerness through stabilizer R'enyi entropy (SRE)<n>Our results establish a solid connection between quantum resources and transport, providing insights into the dynamics of complexity within symmetry-constrained quantum systems.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We investigate how transport properties of $U(1)$-conserving dynamics impact the growth of quantum resources characterizing the complexity of many-body states. We quantify wave-function delocalization using participation entropy (PE), a measure rooted in the coherence theory of pure states, and assess nonstabilizerness through stabilizer R\'enyi entropy (SRE). Focusing on the XXZ spin chain initialized in domain-wall state, we demonstrate universal power-law growth of both PE and SRE, with scaling exponents explicitly reflecting the underlying transport regimes, ballistic, diffusive, or KPZ-type superdiffusive. Our results establish a solid connection between quantum resources and transport, providing insights into the dynamics of complexity within symmetry-constrained quantum systems.

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