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Magic-state resource theory for the ground state of the transverse-field Ising model

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arxiv 2205.02247 v3 pith:USVEXRBU submitted 2022-05-04 quant-ph cond-mat.stat-mech

Salvatore F.E. Oliviero , Lorenzo Leone , Alioscia Hamma This is my paper · ORCID
classification quant-phcond-mat.stat-mech
keywords quantumstabilizerentropyenyigappedgroundisingphase
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abstract

Ground states of quantum many-body systems are both entangled and possess a kind of quantum complexity as their preparation requires universal resources that go beyond the Clifford group and stabilizer states. These resources - sometimes described as magic - are also the crucial ingredient for quantum advantage. We study the behavior of the stabilizer R\'enyi entropy in the integrable transverse field Ising spin chain. We show that the locality of interactions results in a localized stabilizer R\'enyi entropy in the gapped phase thus making this quantity computable in terms of local quantities in the gapped phase, while measurements involving $L$ spins are necessary at the critical point to obtain an error scaling with $O(L^{-1})$.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 4 citations worldwide. Full citation record

  1. Magic without a phase: phase-independent stabilizer R\'enyi entropy in gluon scattering

    hep-th 2026-07 conditional novelty 7.0 of 10

    A phase-averaged stabilizer Rényi entropy is introduced for tree-level gluon scattering, with color-independent phase-independent magic that is larger in 3→2 than 2→2 and has a soft-limit lower bound in 2→3.

  2. Connecting Magic Dynamics in Thermofield Double States to Spectral Form Factors

    quant-ph 2026-01 conditional novelty 7.0 of 10

    For chaotic all-to-all systems, the stabilizer Rényi entropy of thermofield double states is set by the spectral form factor and saturates through a first-order dynamical transition.

  3. Experimental characterization of the hierarchy of quantum correlations in top quark pairs

    quant-ph 2026-02 conditional novelty 6.0 of 10

    LHC top-quark data show quantum discord at >5σ, first evidence for steering at >3σ, no Bell correlations, and nonzero magic.

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