Quantum error correction codes (QECCs) can be constructed from the known classical
coding paradigm by exploiting the inherent isomorphism between the classical and quantum …

Arikan's polar codes are capable of approaching Shannon's capacity at a low encoding and
decoding complexity, while conveniently supporting rate adaptation. By virtue of these …

We propose families of protocols for magic-state distillation—important components of fault-
tolerance schemes—for systems of odd prime dimension. Our protocols utilize quantum …

Polar codes form a very powerful family of codes with a low complexity decoding algorithm
that attains many information theoretic limits in error correction and source coding. These …

The capacities of noisy quantum channels capture the ultimate rates of information
transmission across quantum communication lines, and the quantum capacity plays a key …

We study the use of polar codes for both discrete and continuous variables Quantum Key
Distribution (QKD). Although very large blocks must be used to obtain the efficiency required …

We present several different codes and protocols to distill $ T $, controlled-$ S $, and Toffoli
(or $ CCZ $) gates. One construction is based on codes that generalize the triorthogonal …

Holevo, Schumacher, and Westmoreland's coding theorem guarantees the existence of
codes that are capacity-achieving for the task of sending classical data over a channel with …

Decoupling has become a central concept in quantum information theory, with applications
including proving coding theorems, randomness extraction and the study of conditions for …

We introduce an alternative type of quantum repeater for long-range quantum
communication with improved scaling with the distance. We show that by employing …