Tuning quantum magic of pure quantum chaotic states with a gravity dual

• URL: http://arxiv.org/abs/2607.01930v1
• Date: Thu, 02 Jul 2026 09:25:32 GMT
• Title: Tuning quantum magic of pure quantum chaotic states with a gravity dual
• Abstract summary: Quantum magic is a fundamental resource that quantifies to what extent quantum states can be efficiently simulated on a classical computer.<n>We show analytically that, in the large $N$ limit, the quantum magic of pure Kourkoulou-Maldacena (KM) states is linear in $N$ with a slope, depending on the black hole temperature.<n>Our results offer new insights about the relation between quantum information, quantum chaos and low-dimension quantum gravity.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Quantum magic is a fundamental resource that quantifies to what extent quantum states can be efficiently simulated on a classical computer. We study it for states constructed from the Sachdev-Ye-Kitaev (SYK) Hamiltonian with $N$ Majoranas by the fermionic anti-flatness (FAF). We show analytically that, in the large $N$ limit, the quantum magic of pure Kourkoulou-Maldacena (KM) states, dual to a quantum black hole with an end-of-world particle behind the horizon, is linear in $N$ with a slope, depending on the black hole temperature, that can be tuned between zero and $1/2$. By contrast, the FAF of Gaussian states evolved in real time with the SYK Hamitonian approaches $\approx N/2$ exponentially at a rate given by a multiple of the leading Ruelle-Pollicot resonance. Subleading corrections in $N$ for SYK energy eigenstates, computed numerically for $N \leq 54$ by combining Krylov subspace with GPU acceleration techniques, decay exponentially with $N$, but power-law if the SYK couplings are sparsified, and are order of magnitude larger for states close to the ground state, a region with an established gravity analogue. Our results offer new insights about the relation between quantum information, quantum chaos and low-dimension quantum gravity.

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