Multi-Error-Correcting Amplitude Damping Codes
arXiv:1001.2356 · doi:10.1109/ISIT.2010.5513648
Abstract
We construct new families of multi-error-correcting quantum codes for the amplitude damping channel. Our key observation is that, with proper encoding, two uses of the amplitude damping channel simulate a quantum erasure channel. This allows us to use concatenated codes with quantum erasure-correcting codes as outer codes for correcting multiple amplitude damping errors. Our new codes are degenerate stabilizer codes and have parameters which are better than the amplitude damping codes obtained by any previously known construction.
5 pages. Submitted to ISIT 2010
References in corpus (5)
Cited by in corpus (12)
- Performance and structure of single-mode bosonic codes
- Modelling and Simulating the Noisy Behaviour of Near-term Quantum Computers
- Permutation-invariant quantum codes
- Quantum Error-Correcting Codes for Qudit Amplitude Damping
- Approximate quantum error correction for generalized amplitude damping errors
- Permutation-invariant constant-excitation quantum codes for amplitude damping
- Public and private resource trade-offs for a quantum channel
- Concatenated Codes for Amplitude Damping
- Codeword Stabilized Quantum Codes for Asymmetric Channels
- Reliable channel-adapted error correction: Bacon-Shor code recovery from amplitude damping
- Linear programming bounds for quantum amplitude damping codes
- A simple comparative analysis of exact and approximate quantum error correction