IEICE Communications Express
Online ISSN : 2187-0136
ISSN-L : 2187-0136
Exact computation of tail probability of hypergeometric distribution and its application to Quantum Key Distribution
Kenta SakakibaraRyutaroh Matsumoto
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JOURNAL FREE ACCESS

2014 Volume 3 Issue 2 Pages 68-73

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Abstract

Tomamichel et al. improved a key rate of a Quantum Key Distribution (QKD) protocol with finite number of qubits. To compute the key rate, we need to estimate a phase error rate, which obey a hypergeometric distribution. They did not compute directly the tail probability of the hypergeometric distribution to obtain the estimate of the error rate, and they used its upper bound instead. We improve the key rate of the QKD by exact numerical computation of the tail probability. We also propose a method to decrease the computation time for exact numerical computation.

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© 2014 The Institute of Electronics, Information and Communication Engineers
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