The continuous nature of the frequency degree of freedom in a single photon allows for a high-dimensional encoding scheme, reducing optical costs. Discretizing the frequency allows for defining qubits that are robust against temporal and spectral broadening. Errors can occur during single photon manipulation and optical fiber propagation. Crosstalk between classical and quantum signals within optical fibers also affects these encodings. To address temporal and frequency broadening issues in these encodings, two methods are explored. One relies on costly non-linear optics, while the second solely utilizes linear optics. The second method involves a teleportation-based error correction protocol, where a noisy frequency qubit carrying quantum information becomes entangled with a less noisy frequency-entangled state. This process involves Bell measurements and inherently incorporates error correction, as the remaining frequency single-photon state, following the protocol, becomes associated with a lower-noise entangled state in both time and frequency domains (Applied Sciences 13, 9462).
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