Nonadditive quantum error correcting codes adapted to the ampltitude damping channel

Understand

A family of high rate quantum error correcting codes adapted to the amplitude damping channel is presented.

• These codes are nonadditive and exploit self-complementarity structure to correct all first-order errors.
• Their rates can be higher than 1/2.
• The recovery operations of these codes can be generated by a simple algorithm and have a projection nature, which makes them potentially easy to implement.