Error-correcting one-way quantum computation with global entangling gates

TL;DR

This paper proposes an error-corrected one-way quantum computation scheme using five-qubit codes and global entangling gates, enabling fault-tolerant quantum processing in lattice-based systems.

Contribution

It introduces a method to perform universal one-way quantum computation with integrated error correction using logical cluster states and global entangling operations.

Findings

Logical two-qubit cluster state encoded with five-qubit error correction.

Preparation of logical states just before use to minimize errors.

Applicable to systems with global entangling gates like optical lattices.

Abstract

We present an approach to one-way quantum computation (1WQC) that can compensate for single-qubit errors, by encoding the logical information residing on physical qubits into five-qubit error-correcting code states. A logical two-qubit cluster state that is the fundamental resource for encoded quantum teleportation is then described by a graph state containing ten vertices with constant degree seven. Universal 1WQC that incorporates error correction requires only multiple copies of this logical two-qubit state and a logical four-qubit linear cluster state, which are prepared only just in advance of their use in order to minimize the accumulation of errors. We suggest how to implement this approach in systems characterized by qubits in regular two-dimensional lattices for which entangling gates are generically global operations, such as atoms in optical lattices, quantum dots, or superconducting qubits.