Circuit Teleportation via EPR Topology Encoding: Distributed Quantum Programming on Heterogeneous QPUs

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Abstract

We present the first experimental demonstration of quantum circuit teleportation between heterogeneous quantum processors using Bell state topology as a hardware-agnostic encoding framework. A complete quantum circuit---comprising 4 gate instructions (H, CNOT, Z measurements)---was teleported from Rigetti Computing's Ankaa-3 superconducting QPU to IQM Quantum Computers' Garnet system, with successful reconstruction and execution. The protocol encodes circuit instructions as Bell state manifolds using a 3-qubit error correction code with majority voting, achieving complete circuit fidelity despite architectural differences in native gate sets and connectivity topologies. By treating quantum gates as equivalence classes under entanglement structure---mapping $H \to |\Phi^+\rangle$, $\mathrm{CNOT} \to |\Psi^+\rangle$, $Z \to |\Phi^-\rangle$, and $M \to |\Psi^-\rangle$---we establish a foundational equivalence between gate operations and Bell basis projections. Implementation utilizes the hyperelliptic lattice infrastructure developed previously, enabling topologically-aware routing of quantum programs. This work demonstrates that heterogeneous quantum networks can execute distributed quantum algorithms without dedicated quantum channels or pre-shared high-fidelity entanglement, using only classical database coordination. The 100\% circuit execution success rate combined with error-corrected Bell state decoding provides strong evidence that topology-mediated programming offers a practical pathway toward distributed quantum computing infrastructure. We present comprehensive experimental data, theoretical analysis connecting Bell topology to quantum circuit semantics, and a scalable framework for cross-architecture quantum software distribution.

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