Error correction in quantum cryptography

Masahito Hayashi, Satoshi Ishizaka, Akinori Kawachi +2 more

Anthony Leverrier

Andrey V. Timofeev, S. N. Molotkov

A general method is proposed for privacy protection upon correction of errors in primary keys in quantum cryptography through an open communication channel. By the example of the cascade procedure for correcting errors, a method is described for removing information sent through an open communication channel when cleaning a key. The critical percentage is found for the quantum cryptography protocol BB84 to which the cascade error correction method with deletion guarantees the security of the final key. The method proposed for removing information sent through the open communication channel is quite general and can be used for many cleaning protocols for primary keys in quantum cryptography.

Feng Zhao, Mingxing Fu, Faqiang Wang +3 more

Asel Sagingalieva, Dmitry Anatolevich Kronberg

Quantum cryptography provides methods for secret key distribution between the two distant users. An important step in quantum key distribution protocols is the correction of errors that occur during the transmission and implementation of the protocol. Here we consider error estimation and error correction with linear codes such as repetition code, Hamming code, low density parity check (LDPC) code. The paper investigates the increase in the efficiency of error correction using a combination of a repetition code and a LDPC code for a high error probability.

Sara Felloni