Quantum

Global and nonlocal magic of quantum many-body scars

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Briefings

A 2026 study by researchers analyzing $(1+1)$-dimensional Abelian lattice gauge theories at infinite temperature reveals that quantum many-body scars possess extensive global and nonlocal magic. The research derives an exact closed-form expression for nonlocal trace distance magic using only the Schmidt spectrum, reducing optimization problems to finite maximizations over stabilizer-compatible ranks. Key findings indicate that scar eigenstates can exhibit high nonlocal magic despite having anomalously low entanglement, and that constrained Hilbert spaces can generate irreducible nonlocal magic through stabilizer-incompatible Schmidt ranks.

Key points

• Researchers derived an exact closed-form expression for nonlocal trace distance magic using only the Schmidt spectrum of $(1+1)$-dimensional Abelian lattice gauge theories.
• Scar eigenstates can exhibit extensive global magic and large nonlocal magic despite having anomalously low entanglement, challenging traditional ergodicity assumptions.

Context and limitations

Analysis covers $(1+1)$-dimensional Abelian lattice gauge theories at infinite temperature via analytical and numerical methods; results are preliminary and subject to further validation.

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