Three-intensity decoy-state method for device-independent quantum key distribution with basis-dependent errors
Abstract
We study the measurement-device-independent quantum key distribution (MDIQKD) in practice with limited resources when there are only three different states in implementing the decoy-state method and when there are basis-dependent coding errors. We present general formulas for the decoy-state method for two-pulse sources with three different states, which can be applied to the recently proposed MDIQKD with imperfect single-photon sources such as the coherent states or the heralded states from the parametric down-conversion. We point out that the existing result for secure MDIQKD with source coding errors does not always hold. We find that very accurate source coding is not necessary. In particular, we loosen the precision of the existing result by several orders of magnitude.
- Publication:
-
Physical Review A
- Pub Date:
- January 2013
- DOI:
- 10.1103/PhysRevA.87.012320
- arXiv:
- arXiv:1207.0392
- Bibcode:
- 2013PhRvA..87a2320W
- Keywords:
-
- 03.67.Dd;
- 42.81.Gs;
- 03.67.Hk;
- Quantum cryptography;
- Birefringence polarization;
- Quantum communication;
- Quantum Physics
- E-Print:
- Published version with Eq.(17) corrected. We emphasize that our major result (Eq.16) for the decoy-state part can be applied to generate a key rate very close to the ideal case of using infinite different coherent states, as was numerically demonstrated in Ref.[21]. Published in PRA, 2013, Jan