We put forward an effective amplification protocol for protecting the single-photon entangled state of the time-bin qubit. The protocol only requires one pair of the single-photon entangled state and some auxiliary single photons. With the help of the 50:50 beam splitters, variable beam splitters with the transmission of
t and the polarizing beam splitters, we can increase the fidelity of the single-photon entangled state under $t
Eight-port homodyne detection may be used to perform a joint measurement on a single-mode input to a beam splitter; the
x quadrature is measured at one output port, and the
p quadrature is measured at the other. This is possible even when the input mode contains only one photon. We show to what extent this "joint measurement of a single photon" may be reconciled with the semiclassical notion that the photon may only exit from one of the beam splitter output ports.