Universal Spreading of Nonstabilizerness and Quantum Transport
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909648977657856 |
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| author | Tirrito, Emanuele Tarabunga, Poetri Sonya Bhakuni, Devendra Singh Dalmonte, Marcello Sierant, Piotr Turkeshi, Xhek |
| author_facet | Tirrito, Emanuele Tarabunga, Poetri Sonya Bhakuni, Devendra Singh Dalmonte, Marcello Sierant, Piotr Turkeshi, Xhek |
| contents | 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 Rényi 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_12133 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Universal Spreading of Nonstabilizerness and Quantum Transport Tirrito, Emanuele Tarabunga, Poetri Sonya Bhakuni, Devendra Singh Dalmonte, Marcello Sierant, Piotr Turkeshi, Xhek Quantum Physics Statistical Mechanics Strongly Correlated Electrons 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 Rényi 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. |
| title | Universal Spreading of Nonstabilizerness and Quantum Transport |
| topic | Quantum Physics Statistical Mechanics Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2506.12133 |