Passively self-error-rejecting qubit transmission over a collective-noise channel

TL;DR

This paper introduces a passive, self-error-rejecting method for transmitting single-qubit polarization states over collective-noise channels, achieving near-perfect success probability without extra qubits or entanglement.

Contribution

The proposed scheme simplifies quantum communication by avoiding additional qubits and entanglement, providing a flexible and high-probability error rejection method for collective noise.

Findings

Success probability approaches 100% via postselection

Compatible with most quantum communication protocols

Simpler than decoherence-free subspace schemes

Abstract

We propose a passively self-error-rejecting single-qubit transmission scheme for an arbitrary polarization state of a single qubit over a collective-noise channel, without resorting to additional qubits and entanglement. By splitting a single qubit into some wavepackets with some Mach-Zehnder interferometers, we can obtain an uncorrupted state with a success probability approaching 100% via postselection in different time bins, independent of the parameters of collective noise. It is simpler and more flexible than the schemes utilizing decoherence-free subspace and those with additional qubits. One can directly apply this scheme to almost all quantum communication protocols based on single photons or entangled photon systems against a collective noise.