Combating quantum errors: an integrated approach

TL;DR

This paper introduces an innovative encoding scheme for quantum communication that leverages invariant quantities to achieve error-free information transfer, reducing reliance on complex entangled states and complementing existing error correction methods.

Contribution

The paper proposes a novel invariant-based encoding method for quantum communication that simplifies error mitigation without requiring multiparty entanglement.

Findings

Invariant quantities remain unaffected by noise, enabling error-free transfer.

Standard quantum error-correcting codes can be derived from the proposed scheme.

The approach facilitates secure quantum key distribution and error-immune information transfer.

Abstract

Near-term quantum communication protocols suffer inevitably from channel noises, whose alleviation has been mostly attempted with resources such as multiparty entanglement or sophisticated experimental techniques. Generation of multiparty higher dimensional entanglement is not easy. This calls for exploring realistic solutions which are implementable with current devices. Motivated particularly by the difficulty in generation of multiparty entangled states, in this paper, we have investigated error-free information transfer with minimal requirements. For this, we have proposed a new information encoding scheme for communication purposes. The encoding scheme is based on the fact that most noisy channels leave some quantities invariant. Armed with this fact, we encode information in these invariants. These invariants are functions of expectation values of operators. This information passes through the noisy channel unchanged. Pertinently, this approach is not in conflict with other existing error correction schemes. In fact, we have shown how standard quantum error-correcting codes emerge if suitable restrictions are imposed on the choices of logical basis states. As applications, for illustration, we propose a quantum key distribution protocol and an error-immune information transfer protocol.