Robustness of nonstabilizerness in the quantum Ising chain via quantum Monte Carlo tomography

We study the behavior of magic as a bipartite correlation in the quantum Ising chain across its quantum phase transition and at finite temperature. To quantify the magic of partitions rigorously, we formulate a hybrid scheme that combines stochastic sampling of reduced density matrices via quantum Monte Carlo, with state-of-the-art estimators for the robustness of magic - a bona fide measure of magic for mixed states. This allows us to compute the mutual robustness of magic for partitions up to eight sites, embedded into a much larger system. We show how mutual robustness is directly related to critical behaviors: at the critical point, it displays a power-law decay as a function of the distance between partitions, whose exponent is related to the partition size. Once finite temperature is included, mutual magic retains its low temperature value up to an effective critical temperature, whose dependence on size is also algebraic. This suggests that magic, differently from entanglement, does not necessarily undergo a sudden death.

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Publication Details

Journal
Physical review. B./Physical review. B
Published
2025-10-02
DOI
https://doi.org/10.1103/4hpw-6mq3
Citations
1
Primary Topic
Quantum many-body systems
Type
article
Field-Weighted Citation Impact
1.25
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article

Robustness of nonstabilizerness in the quantum Ising chain via quantum Monte Carlo tomography

Mario Collura, Bin-Bin Mao, Poetri Sonya Tarabunga, Emanuele Tirrito et al.
1 citations
Physical review. B./Physical review. B
Quantum many-body systems
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article

Robustness of nonstabilizerness in the quantum Ising chain via quantum Monte Carlo tomography

Mario Collura, Bin-Bin Mao, Poetri Sonya Tarabunga, Emanuele Tirrito, Marcello Dalmonte, Zheng Yan, Yi-Ming Ding, Hari Timsina
article en
1 citations

Abstract

We study the behavior of magic as a bipartite correlation in the quantum Ising chain across its quantum phase transition and at finite temperature. To quantify the magic of partitions rigorously, we formulate a hybrid scheme that combines stochastic sampling of reduced density matrices via quantum Monte Carlo, with state-of-the-art estimators for the robustness of magic - a bona fide measure of magic for mixed states. This allows us to compute the mutual robustness of magic for partitions up to eight sites, embedded into a much larger system. We show how mutual robustness is directly related to critical behaviors: at the critical point, it displays a power-law decay as a function of the distance between partitions, whose exponent is related to the partition size. Once finite temperature is included, mutual magic retains its low temperature value up to an effective critical temperature, whose dependence on size is also algebraic. This suggests that magic, differently from entanglement, does not necessarily undergo a sudden death.

Physical review. B./Physical review. BVol. 112(16)
Qingdao University (CN), The Abdus Salam International Centre for Theoretical Physics (ICTP) (IT), Scuola Internazionale Superiore di Studi Avanzati (IT), University of Trieste (IT), Fudan University (CN), Westlake University (CN), Affiliated Hospital of Qingdao University (CN), Science and Technology on Surface Physics and Chemistry Laboratory (CN), Munich Center for Quantum Science and Technology (DE), Istituto Nazionale di Fisica Nucleare, Sezione di Trieste (IT), Institute of Natural Science (KP), State Key Laboratory of Surface Physics, Technical University of Munich (DE), University of Naples Federico II (IT)
Openalex Percentile: Top 16%
Quantum many-body systems
1.25
DOISourceOpenAlex
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