Encoding M classical bits in the arrival time of dense-coded photons
Salem F. Hegazy, Ahmed E. Morra, Salah S. A. Obayya

TL;DR
This paper proposes a method to encode multiple classical bits in the arrival time of entangled photon pairs using dense coding and time-bin encoding, enhancing quantum communication capacity.
Contribution
The paper introduces a novel protocol combining quantum dense coding with time-bin encoding to encode M classical bits in photon arrival times.
Findings
The protocol allows decoding of M classical bits plus 2 quantum bits.
It maintains coherence using programmable delay apparatus.
Environmental noise impacts capacity as the number of time-bins increases.
Abstract
We present a scheme to encode M extra classical bits to a dense-coded pair of photons. By tuning the delay of an entangled pair of photons to one of 2^M time-bins and then applying one of the quantum dense coding protocols, a receiver equipped with a synchronized clock of reference is able to decode M bits (via classical time-bin encoding) + 2 bits (via quantum dense coding). This protocol, yet simple, does not dispense several special features of the used programmable delay apparatus to maintain the coherence of the two-photon state. While this type of time-domain encoding may be thought to be ideally of boundless photonic capacity (by increasing the number of available time-bins), errors due to the environmental noise and the imperfect devices and channel evolve with the number of time-bins.
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