Chi-Kwong Li

Error correction schemes for fully correlated quantum channels protecting both quantum and classical information

2019 · arXiv (Cornell University)

We study efficient quantum error correction schemes for the fully correlated channel on an $n$-qubit system with error operators that assume the form $σ_x^{\otimes n}$, $σ_y^{\otimes n}$, $σ_z^{\otimes n}$. Previous schemes are improved to facilitate …

Higher Rank Matricial Ranges and Hybrid Quantum Error Correction

2019 · arXiv (Cornell University)

We introduce and initiate the study of a family of higher rank matricial ranges, taking motivation from hybrid classical and quantum error correction coding theory and its operator algebra framework. In particular, for a noisy …