Entangling logical qubits with lattice surgery

TL;DR

This paper reports the experimental realization of lattice surgery in a 10-qubit ion trap quantum computer, demonstrating entanglement and logical state teleportation between topologically encoded qubits, advancing quantum error correction techniques.

Contribution

First experimental demonstration of lattice surgery between two topologically encoded qubits in a small ion trap system.

Findings

Successfully entangled two logical qubits

Implemented logical state teleportation

Validated lattice surgery as a resource-efficient quantum operation

Abstract

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.