1302.3247 (Yingkai Ouyang)

The Perturbed Error-Correction Criterion and Rescaled Truncated Recovery    [PDF]

Yingkai Ouyang

We revisit the notion of approximate error correction of finite dimension codes. We derive a computationally simple lower bound on the worst case entanglement fidelity of a quantum code, when the truncated recovery map of Leung et. al. is rescaled. As an application, we apply our bound to construct a family of multi-error correcting amplitude damping codes that are permutation-invariant. This demonstrates an explicit example where the specific structure of the noisy channel allows code design out of the stabilizer formalism via purely algebraic means.

View original: http://arxiv.org/abs/1302.3247