Numerical finite-key analysis of quantum key distribution

Quantum key distribution (QKD) is still the only quantum-resistant method of sending secret information at a distance. However, accurate theoretical analysis of QKD that accounts for device imperfections is usually challenging. To circumvent this problem, we have developed an efficient numerical approach to calculate the secret key rates of any QKD protocol. Our approach takes only a brief description of the protocol and the measurement results as inputs. The method outputs the secret key rates by solving a semidefinite program which includes not only practical device imperfections but also statistical fluctuations typically observed in QKD experiments.