Gate Teleportation in Noisy Quantum Networks with the SquidASM Simulator

We implement the gate teleportation algorithm for teleporting arbitrary two-qubit Clifford gates and the Toffoli gate within the context of multi-node quantum networks, utilizing the SquidASM quantum network simulator. We show how a gate teleportation scheme can be used to implement gate cutting, which is an important approach to realize large circuits in distributed quantum computing environments. The correction operations in teleportation are automatically constructed for arbitrary two-qubit Clifford gates. We apply a similar gate teleportation protocol for the Toffoli gate, but the correction operation becomes more complex since the gate is non-Clifford. We present the simulation results for the CNOT, DCNOT, CZ, SWAP, and Toffoli gates. We perform the simulations under varying quantum channel and device noise levels. The simulations provide valuable insights into the robustness and efficacy of the implemented algorithms, and they assist in identifying the critical components within quantum networks where noise primarily affects the execution of applications.