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Pramana

Quantum key distribution using three basis states

Subhash C. Kak

Published May 1, 2000• 10 citations
Publisher
DOI
10.1007/s12043-000-0116-z

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Abstract Statistical fluctuations are unavoidable in realistic quantum key distribution (QKD) due to finite-size effect. Based on the four-intensity proposal on measurement-device-independent QKD (MDI-QKD) in [Phys. Rev. A 93 (2016) 042324], we particularly analyze the scenario that only three intensities are used, namely a three-intensity decoy-state MDI-QKD with biased basis choice. After performing full parameter optimization method, simulations results demonstrate that this scenario can obtain distinct enhancement compared with the conventional unbiased three-intensity decoy-state method, e.g. Xu et al.’s [Phys. Rev. A 89 (2014) 052333]. Furthermore, results also show that it works more efficiently by using HSPS than using WCS at longer transmission distance.
Quantum Key Distribution (QKD) is the only theoretically proven method for secure key distribution between two users. In this work, we propose and analyze a Measurement Device Independent (MDI) protocol designed to distribute keys among three users in a pairwise manner. Each user randomly selects a basis, encodes bit values in the phase of coherent states, and sends the resulting pulses to a central measurement unit (MU) composed of three beam splitters and three photon detectors. When the three pulses arrive simultaneously at the MU and under the condition of succesful detection of photons, a key bit is distributed to at least one pair of users. This protocol extends the foundational phase-encoding MDI protocol introduced by [K. Tamaki, et al., Phys. Rev. A 85, 042307 (2012)] to three users, but this comes at the cost of introducing a systematic error in the implementation of the honest protocol.
In order to improve the key generation rate of the quantum key distribution protocols,a perfect complete orthogonal basis of the bipartite three-level system was constructed.By using this basis and swapping the entanglement between the particles,a quantum key distribution protocol was presented.Therefore,a three-level can be generalized to multi-level.Using entanglement swapping between the particles and multi-level key distribution,it can significantly improve the efficiency of the detection of eavesdropping and the key generation rate and the information flux.