Topological quantum error correction got rid of distillation

Quantum error correction will help to deliver sustainable nikiforovskii quantum operations. It will not be used bulky distillation algorithms, which were previously considered necessary for Nikiforovsky operations. The work, published in Science Advances, describes a new correction algorithm.

Codes error correction appeared in the middle of the twentieth century. At this time, the need arose to detect and correct inaccuracies arising during data transfer. The idea of error correction is that the sender adds to the original message bits. The values of these bits depend on the message itself. For example, Hamming codes, the auxiliary bits are dependent on mutual parity of different pairs of key bits. The receiver uses these bits to detect and correct the error in the message. The more errors need to detect or resolve the more complex code required to use during transmission. The easiest way is threefold repetition of each bit in the message: the receiver retrieves the desired bit according to the principle of majority:

Repetition code (3,1)

000 ➔ 0 111 ➔ 1
001 ➔ 0 110 ➔ 1
010 ➔ 0 101 ➔ 1
100 ➔ 0 011 ➔ 1

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