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We present an original self-error-rejecting photonic qubit transmissionscheme for both the polarization and spatial states of photon systemstransmitted over collective noise channels. In our scheme, we use simplelinear-optical elements, including half-wave plates, 50:50 beam splitters, andpolarization beam splitters, to convert spatial-polarization modes intodifferent time bins. By using postselection in different time bins, the successprobability of obtaining the uncorrupted states approaches 1/4 forsingle-photon transmission, which is not influenced by the coefficients ofnoisy channels. Our self-error-rejecting transmission scheme can be generalizedto hyperentangled N-photon systems and is useful in practical high-capacityquantum communications with photon systems in two degrees of freedom.

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