Universal quantum computation with optical four-component cat qubits

TL;DR

This paper introduces a teleportation-based method for universal quantum computation using four-component cat qubits, which can recover from photon loss and improve fault-tolerance over previous codes.

Contribution

It presents a novel scheme combining four-component cat codes with teleportation and error correction to enable fault-tolerant universal quantum computation.

Findings

The scheme can detect and correct single photon loss events.

Fault-tolerance thresholds are significantly improved over two-component cat codes.

The approach integrates entangled resource states and photon detection for universal gates.

Abstract

We propose a teleportation-based scheme to implement a universal set of quantum gates with a four-component cat code, assisted by appropriate entangled resource states and photon number resolving detection. The four-component cat code features the ability to recover from single photon loss. Here, we propose a concrete procedure to correct the single photon loss, including detecting the single photon loss event and recovering the initial states. By concatenating with standard qubit error correcting codes, we estimate the loss threshold for fault-tolerant quantum computation and obtain a significant improvement over the two-component cat code.