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    Sachdev-Ye-Kitaev-model–based β-regime-dependent two-qubit dynamical wormhole-inspired teleportation protocol simulation

    Sudhanva Joshi* and Sunil Kumar Mishra†

    • *Contact author: sudhanvajoshi.rs.phy24@itbhu.ac.in
    • †Contact author: sunilkm.app@iitbhu.ac.in

    Phys. Rev. A 112, 062417 – Published 8 December, 2025

    DOI: https://doi.org/10.1103/mcsm-sbcx

    Abstract

    We implement the Wormhole-Inspired Teleportation Protocol (WITP) in a pair of coupled Sachdev-Ye-Kitaev (SYK) models prepared in a thermofield-double state, forming a quantum analog of a traversable wormhole. By varying parameters (temperature β, coupling strength g, insertion site, and traversal time t) we compare the teleportation fidelity against an analogous protocol using a transverse-field Ising model. We find that the chaotic SYK system consistently yields higher teleportation fidelity than the transverse field Ising model, reflecting the SYK Hamiltonian's pronounced many-body chaos. These enhanced fidelities arise from the SYK's effectively random-matrix dynamics, which improve the coherent information transfer through the wormhole channel. Unlike prior single-qubit benchmarks based on |0〉 inputs, the present work defines and evaluates a genuine quantum-state fidelity for a maximally entangled two-qubit Bell input, using a Pauli-stabilizer formalism that captures entanglement-phase coherence. Our central result is achieved by teleporting a maximally entangled two-qubit Bell state through the wormhole. We introduce a Pauli-stabilizer fidelity measure for the two-qubit message and demonstrate that the Bell-state protocol produces a substantial fidelity boost compared to single-qubit teleportation. Furthermore, we examine the time-resolved fidelity for both single-qubit and two-qubit messages, revealing distinct fluctuation patterns that deepen our understanding of dynamical many-body teleportation processes. Finally, we present an argument that our Bell-state WITP simulations provide a concrete numerical testbed for aspects of the ER = EPR conjecture, by mapping entanglement structure and thermal/coupling dependence to traversability diagnostics in an emergent wormhole geometry.

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