Error Correction Using Squeezed Fock States

TL;DR

This paper proposes an error correction code for quantum computing using squeezed Fock states, demonstrating improved error correction for photon loss and dephasing over higher-order states and cat states.

Contribution

It introduces a novel quantum error correction protocol based on squeezed Fock states that satisfies the Knill-Laflamme criteria and outperforms existing methods.

Findings

First squeezed Fock state effectively corrects photon loss and dephasing errors.

The protocol outperforms squeezed Schrödinger's cat states in error correction.

Squeezed Fock states provide enhanced protection for quantum channels.

Abstract

The paper addresses the construction an error correction code for quantum calculations based on squeezed Fock states. It is shown that the use of squeezed Fock states makes it possible to satisfy the Knill-Laflamme (KL) criteria for bosonic error correction codes. It is shown that the first squeezed Fock state corrects both photon loss and dephasing errors better than higher-order states. A comparison of the proposed protocol with an error correction protocol based on the squeezed Schrodinger's cat states is carried out on the basis of the KL cost function. It is shown that the squeezed first Fock state better protects a channel with photon loss and dephasing.