  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.
