Gravitational Wave-Induced Scrambling Delay in SYK Wormhole Teleportation

Majorana Topological Qubit is a topological qubit approach for quantum computing hardware. Source: latex text.

Abstract

Traversable wormhole teleportation in the Sachdev-Ye-Kitaev (SYK) model links quantum channel integrity to black hole interior dynamics, using teleportation fidelity to probe holographic scrambling. We subject the SYK boundary to a gravitational-wave (GW)-inspired periodic Floquet deformation, mimicking a leading-order metric-strain perturbation from the JT-gravity dictionary. We characterize the channel response via exact numerical time evolution with disorder averaging at $\beta J=2$. The drive produces a coherent, frequency-selective fidelity suppression, yielding four main results: (i) two amplitude regimes separated near $\epsilon \sim J$ (perturbative sensing vs.\ strong-drive); (ii) the channel acts as a low-pass filter, most sensitive at $\omega \lesssim {\beta }^{-1}$ with monotone recovery above the thermal scale; (iii) an inspiral chirp drive delays the fidelity peak by $\Delta t_{\mathrm{scr}}^{(\mathrm{fid})}=+0.11J^{-1}$, corroborated by an out-of-time-order correlator (OTOC) diagnostic ($\Delta t_{\mathrm{scr}}^{(\mathrm{OTOC})}=+0.20J^{-1}$), establishing a genuine scrambling delay; and (iv) the effects persist across $N\in \{10,12,14,16\}$ Majorana modes, indicating no systematic finite-size suppression. These results establish that holographic teleportation channels degrade gracefully under GW-inspired boundary deformations, with direct implications for near-term quantum processor implementations of traversable wormholes.

Key Findings

Links

• arXiv: 2603.18509

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