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We present a linear optical protocol for teleporting and correcting bothtemporal and frequency errors in two time-frequency qubit states. The firststate is the frequency (or time-of-arrival) cat qubit, which is a single photonin a superposition of two frequencies (or time-of-arrival), while the second isthe time-frequency Gottesman-Kitaev-Preskill (GKP) state, which is a singlephoton with a frequency comb structure. The proposed optical scheme could bevaluable for reducing error rate in quantum communication protocols involvingone of these qubits.

Teleportation-based error correction protocol of time-frequency qubits states