Abstract
We study the equivalence between the entanglement-based scheme and prepare-and-measure scheme of unidimensional (UD) continuous-variable quantum key distribution protocol. Based on this equivalence, the physicality and security of the UD coherent-state protocols in the ideal detection and realistic detection conditions are investigated using the Heisenberg uncertainty relation, respectively. We also present a method to increase both the secret key rates and maximal transmission distances of the UD coherent-state protocol by adding an optimal noise to the reconciliation side. It is expected that our analysis will aid in the practical applications of the UD protocol.
Highlights
Quantum key distribution (QKD), which is a prominent application of the quantum information, enables two remote parties, conventionally called Alice and Bob, to share a common secret key through an insecure quantum channel and an authenticated classical channel [1,2]
We find that this that was obtained by scanning C yB1 whenB1other minimum secret key rate is equal to the minimum secret key rate that was obtained by scanning Cy parameter values are setred to solid be consistent
We have proven the equivalence between the EB scheme and the PM scheme of the UD Continuous-variable quantum key distribution (CV-QKD) protocol, and investigated the physical and secure regions of the SY coherent-state protocol based on the Heisenberg uncertainty relation
Summary
Quantum key distribution (QKD), which is a prominent application of the quantum information, enables two remote parties, conventionally called Alice and Bob, to share a common secret key through an insecure quantum channel and an authenticated classical channel [1,2]. A further simplified unidimensional (UD) CV-QKD protocol has been proposed [28] In such protocol, Alice, still using coherent states, encodes her information by using one modulator (e.g., amplitude modulator) instead of two, whereas Bob performs a homodyne detection, simplifying both the modulation scheme and the key extraction task. Due to the equivalence between the prepare-and-measure (PM) and entanglement-based (EB) scheme of UD protocol, the differences of the Heisenberg uncertainty relations under the idea and realistic condition, and the effect of noise from Bob’s setup on secret key rate under realistic condition are not described or investigated in depth [28,29,30], a further study about above questions is required.
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