Quantum network transmission method based on self-dual quantum low density parity check error correction

Abstract

The invention discloses a quantum network transmission method based on self-dual quantum low-density parity check error correction, including: a source quantum node S randomly generates a cyclic sparse sequence L, and generates a self-dual quantum low-density parity check matrix H through the cyclic sparse sequence L ; Use the generator of the self-dual quantum low-density parity-check matrix H to encode the qubit sequence to be sent, and send it to the destination quantum node D through a quantum channel; the source quantum node S selects a part from the qubit sequence to be sent The sequence is transmitted to the destination quantum node D through the classical network channel; the destination quantum node D compares the qubit sequence sent by the quantum channel with the auxiliary error correction sequence sent by the classical network channel, and calculates the bit error rate; and when When the bit error rate exceeds the set threshold, it enters the stage of error detection and error correction; the type of bit error is judged according to the error adjoint formula, and each type of bit error is corrected to finally realize the correct transmission of the qubit sequence.

Description

technical field [0001] The disclosure relates to a quantum network transmission method based on self-dual quantum low-density parity check error correction. Background technique [0002] The statements in this section merely enhance the background related to the present disclosure and may not necessarily constitute prior art. [0003] With the development of quantum mechanics, it has been confirmed that after distributing two quantum entangled photons to a distance of more than 1200 kilometers, acting on one of the photons can still maintain the entanglement state of the two photons. This makes it possible to change the quantum state remotely without trusting any intermediary. At the same time, since the quantum state can be rapidly degraded through the process of quantum decoherence, the possibility of eavesdropping on the quantum conversation is zero, so that the absolute security of information transmission can be guaranteed from the physical mechanism. Therefore, using...

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Problems solved by technology

Among the currently theoretically mature error-correcting codes, CSS quantum error-correcting codes based on classical linear error-correcting codes cannot correct multiple errors at one time, and their decoding efficiency is relatively low; the decoding efficiency of stable sub-quantum error-correcting codes Higher than CSS codes, but more space dimensions are required for encoding, and the decoding complexity is higher

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