Large-scale quantum computers will require quantum gate operations between widely separated qubits. A method for implementing such operations, known as quantum gate teleportation (QGT), requires only local operations, classical communication, and shared entanglement. We demonstrate QGT in a scalable architecture by deterministically teleporting a controlled-NOT (CNOT) gate between two qubits in spatially separated locations in an ion trap. The entanglement fidelity of our teleported CNOT is in the interval [0.845, 0.872] at the 95% confidence level. The implementation combines ion shuttling with individually-addressed single-qubit rotations and detections, same- and mixedspecies two-qubit gates, and real-time conditional operations, thereby demonstrating essential tools for scaling trapped-ion quantum computers combined in a single device.
@article{arxiv.1902.02891,
title = {Quantum gate teleportation between separated qubits in a trapped-ion processor},
author = {Yong Wan and Daniel Kienzler and Stephen D. Erickson and Karl H. Mayer and Ting Rei Tan and Jenny J. Wu and Hilma M. Vasconcelos and Scott Glancy and Emanuel Knill and David J. Wineland and Andrew C. Wilson and Dietrich Leibfried},
journal= {arXiv preprint arXiv:1902.02891},
year = {2019}
}