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The discrete variables (DV) time-frequency (TF) quantum key distribution(QKD) protocol is a BB84 like protocol, which utilizes time and frequency ascomplementary bases. As orthogonal modulations, pulse position modulation (PPM)and frequency shift keying (FSK) are capable of transmitting several bits persymbol, i.e. per photon. However, unlike traditional binary polarization shiftkeying, PPM and FSK do not allow perfectly complementary bases. So informationis not completely deleted when the wrong-basis filters are applied. Since ageneral security proof does not yet exist, we numerically assess DV-TF-QKD. Weshow that the secret key rate increases with a higher number of symbols perbasis. Further we identify the optimal pulse relations in the two bases interms of key rate and resistance against eavesdropping attacks.

Numerical Assessment and Optimization of Discrete-Variable Time-Frequency Quantum Key Distribution