Performance optimization of continuous variable quantum teleportation with generalized photon-varying non-Gaussian operations

Abstract: Continuous variable quantum teleportation provides a path to the long-distance transmission of quantum states. Photon-varying non-Gaussian operations have been shown to improve the fidelity of quantum teleportation when integrated into the protocol. However, given a fixed non-Gaussian operation, the achievable fidelity varies with different input states. An operation that increases the fidelity for teleporting one class of states might do the contrary for other classes of states. A performance metric suitable for different input states is missing. For a given type of non-Gaussian operation, the achievable fidelity also varies with parameters associated with the operation. Previous work only focuses on particular settings of the parameters. Optimization over the parameters is also missing. In this work, we build a framework for photon-varying non-Gaussian operations for multi-mode states, upon which we propose a performance metric suitable for arbitrary teleportation input states. We then apply the new metric to evaluate different types of non-Gaussian operations. Starting from simple multi-photon photon subtraction and photon addition, we find that increasing the number of ancillary photons involved in the operation does not guarantee performance improvement. We then investigate combinations of the operations mentioned above, finding that operations that approximate a particular form provide the best improvement. The results provided here will be valuable for real-world implementations of quantum teleportation networks and applications that harness the non-Gaussianity of quantum states.