Self-error-rejecting photonic qubit transmission in polarization-spatial modes with linear optical elements

TL;DR

This paper introduces a linear-optical scheme for transmitting photonic qubits that self-rejects errors caused by collective noise, achieving high success probability and applicable to complex hyperentangled systems.

Contribution

The authors propose a novel, practical method using simple linear optical elements for error-rejected photonic qubit transmission over noisy channels, enhancing quantum communication robustness.

Findings

Success probability approaches 1/4 for single-photon transmission.

Scheme is unaffected by noise channel coefficients.

Applicable to hyperentangled N-photon systems.

Abstract

We present an original self-error-rejecting photonic qubit transmission scheme for both the polarization and spatial states of photon systems transmitted over collective noise channels. In our scheme, we use simple linear-optical elements, including half-wave plates, 50:50 beam splitters, and polarization beam splitters, to convert spatial-polarization modes into different time bins. By using postselection in different time bins, the success probability of obtaining the uncorrupted states approaches 1/4 for single-photon transmission, which is not influenced by the coefficients of noisy channels. Our self-error-rejecting transmission scheme can be generalized to hyperentangled N-photon systems and is useful in practical high-capacity quantum communications with photon systems in two degrees of freedom.