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IEEE International Conference on Photonics

Erroneous signal detection and secure distance improvement in two way Quantum Key Distribution protocol with decoy state

Mohd Fared Abdul Khir, Iskandar Bahari, M. N. Mohd Zain, Abang Annuar Ehsan

Published Oct 1, 2012• 1 citation
Publisher

Abstract

The erroneous signal detection characterizes the quality of alignment and stability of a Quantum Key Distribution (QKD) system. Its effect against the improvement to the maximum secure distance achievable with weak+vacuum decoy state and a two way Quantum Key Distribution protocol, namely the LM05 protocol is investigated. The result from our numerical simulation suggested that the secure distance improvement for the two key rate formulas are stable only when erroneous signal detection is at below 5%. Interestingly, at beyond 5 %, the two secure key rate formulas exhibit opposite result with one tends to increase while the other tends to decrease.

DOI
10.1109/icp.2012.6379867

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The erroneous signal detection characterizes the quality of alignment and stability of a Quantum Key Distribution (QKD) system. Its effect against the improvement to the maximum secure distance achievable with weak+vacuum decoy state and a two way Quantum Key Distribution protocol, namely the LM05 protocol is investigated. The result from our numerical simulation suggested that the secure distance improvement for the two key rate formulas are stable only when erroneous signal detection is at below 5%. Interestingly, at beyond 5 %, the two secure key rate formulas exhibit opposite result with one tends to increase while the other tends to decrease.
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The use of decoy states in quantum key distribution (QKD) has provided a method for substantially increasing the secret key rate and distance that can be covered by QKD protocols with practical signals. The security analysis of these schemes, however, leaves open the possibility that the development of better proof techniques or better classical postprocessing methods might further improve their performance in realistic scenarios. In this paper, we derive upper bounds on the secure key rate for decoy-state QKD. These bounds are based basically only on the classical correlations established by the legitimate users during the quantum communication phase of the protocol. The only assumption about the possible postprocessing methods is that double click events are randomly assigned to single click events. Further, we consider only secure key rates based on the uncalibrated device scenario which assigns imperfections such as detection inefficiency to the eavesdropper. Our analysis relies on two preconditions for secure two-way and one-way QKD. The legitimate users need to prove that there exists no separable state (in the case of two-way QKD) or that there exists no quantum state having a symmetric extension (one-way QKD) that is compatible with the available measurements results. Both criteria have been previously applied to evaluate single-photon implementations of QKD. Here we use them to investigate a realistic source of weak coherent pulses. The resulting upper bounds can be formulated as a convex optimization problem known as a semidefinite program which can be efficiently solved. For the standard four-state QKD protocol, they are quite close to known lower bounds, thus showing that there are clear limits to the further improvement of classical postprocessing techniques in decoy-state QKD.