Error correcting coding and decoding method suitable for quantum secure direct communication

Abstract

The invention provides an error correcting coding and decoding method suitable for quantum secure direct communication, and belongs to the technical field of quantum secure direct communication. The method comprises the following steps of firstly, at a receiving end and a sending end, replacing a parity check code constraint in a Tanner representing graph of an LDPC code with quantum random numbersequence constraints in order to obtain a Tanner representing graph of an LDPC-QRS code; at the sending end, coding a sending information sequence by utilizing the Tanner representing graph of the LDPC-QRS code in order to obtain a corresponding sending code word, sending the sending code word to a quantum channel for transmission, and receiving a corresponding receiving code word by the receiving end; and at the receiving end, decoding the receiving code word by utilizing the Tanner representing graph of the LDPC-QRS code in order to obtain a corresponding receiving information sequence. Themethod provided by the invention has excellent error correction performance which is close to a Shannon theoretical limitation, and the reliable transmission of information in a quantum secure directcommunication system can be effectively realized.

Description

technical field [0001] The invention belongs to the field of quantum safe direct communication, and in particular relates to an error correction encoding and decoding method suitable for quantum safe direct communication. Background technique [0002] Quantum secure direct communication technology is a new type of secure communication technology that can safely and directly transmit information in quantum channels. In quantum secure direct communication, the information transmission process can be divided into the following three stages: (1) The receiver prepares a series of single photons, then uses the locally generated random sequence to modulate the phase of the single photons, and sends the modulated single photons The sequence is sent to the sender via a quantum channel. (2) The sender divides the received single photon sequence into two parts, uses one part for measurement, and the other part for storage through the quantum memory. Then the measurement result and th...

AI Technical Summary

Problems solved by technology

At present, there are huge technical challenges in the design of encoding and decoding methods for LDPC codes that meet the constraints of extremely low code rates (that is, the code rates are less than two thousandths). The encoding and decoding matrix of high-performance low-bit-rate LDPC codes is often extremely complex, and the complexity of encoding and decoding operations is very high

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