Nonadditive quantum error correcting codes adapted to the ampltitude damping channel

Abstract

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.

4 pages

References in corpus (6)

• Mixed State Entanglement and Quantum Error Correction
• Approximate quantum error correction can lead to better codes
• Codeword Stabilized Quantum Codes
• Optimum Quantum Error Recovery using Semidefinite Programming
• Nonadditive quantum error-correcting code
• Channel-Adapted Quantum Error Correction

Cited by in corpus (9)

• Performance and structure of single-mode bosonic codes
• Permutation-invariant quantum codes
• Quantum Error-Correcting Codes for Qudit Amplitude Damping
• Approximate quantum error correction for generalized amplitude damping errors
• Short Codes for Quantum Channels with One Prevalent Pauli Error Type
• Concatenated Codes for Amplitude Damping
• Quantum Error Correction Code in the Hamiltonian Formulation
• High performance single-error-correcting quantum codes for amplitude damping
• A simple comparative analysis of exact and approximate quantum error correction