Quantum Code

The quantum codes are the quantum equivalent correct codes. The Théorie of the quantum codes is thus also a branch of the field of the quantum Information.

History

In 1996, two groups of research discover independently of important quantum codes. The class of codes CS was discovered by Calderbank and Shor, and then by Stean. The stabilizing codes now replaced them. Those were developed, once again, independently by Calderbank, Rains, Shor and Sloane, and then Gottesman.

As of 1992, one considers also the problem of the protection of traditional bits with quantum codes. Thus Bennett and Wiesner develops the super-dense Codage.

Construction

The quantum codes differ from their traditional counterparts from the difficulties particular to the quantum one:

  1. Impossibility of the quantum cloning

  2. Continuity of the quantum errors
  3. Brittleness of quantum information vis-a-vis measurements

Nevertheless, quantum data processing provides tools to manage them. For example, for the channel of inversion of bit, a quantum code similar to the traditional Code of repetition exists.

Examples

Other quantum codes: stabilizing Code.

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