Future quantum computers will require quantum error correction for faithful operation. The correction capabilities come with an overhead for performing fault-tolerant logical operations on the encoded qubits. One of the most resource efficient ways to implement logical operations is lattice surgery, where groups of physical qubits, arranged on lattices, can be merged and split to realize entangling gates and teleport logical information. Here, we report on the experimental realization of lattice surgery between two topologically encoded qubits in a 10-qubit ion trap quantum information processor. In particular, we demonstrate entanglement between two logical qubits and we implement logical state teleportation.
@article{arxiv.2006.03071,
title = {Entangling logical qubits with lattice surgery},
author = {Alexander Erhard and Hendrik Poulsen Nautrup and Michael Meth and Lukas Postler and Roman Stricker and Martin Ringbauer and Philipp Schindler and Hans J. Briegel and Rainer Blatt and Nicolai Friis and Thomas Monz},
journal= {arXiv preprint arXiv:2006.03071},
year = {2021}
}