Gate Teleportation in Noisy Quantum Networks with the SquidASM Simulator

TL;DR

This paper demonstrates the implementation of gate teleportation for various quantum gates in noisy multi-node quantum networks using the SquidASM simulator, highlighting its potential for distributed quantum computing.

Contribution

It introduces a method for teleporting two-qubit Clifford and Toffoli gates in noisy networks, with automated correction operations and simulation insights.

Findings

Gate teleportation successfully implemented for multiple gates.

Simulations reveal robustness under different noise levels.

Insights into noise impact on quantum network operations.

Abstract

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 present simulation results for CNOT, DCNOT, CZ, SWAP, and Toffoli gates. For the Toffoli gate, we apply a similar gate teleportation protocol with the difference that the correction operation becomes more complex since the gate is non-Clifford. We perform the simulations under varying conditions of 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.