title: Foliated Quantum Error-Correcting Codes.
abstract: We show how to construct a large class of quantum error-correcting codes, known as Calderbank-Steane-Shor codes, from highly entangled cluster states. This becomes a primitive in a protocol that foliates a series of such cluster states into a much larger cluster state, implementing foliated quantum error correction. We exemplify this construction with several familiar quantum error-correction codes and propose a generic method for decoding foliated codes. We numerically evaluate the error-correction performance of a family of finite-rate Calderbank-Steane-Shor codes known as turbo codes, finding that they perform well over moderate depth foliations. Foliated codes have applications for quantum repeaters and fault-tolerant measurement-based quantum computation.
authors: ARC Centre for Engineered Quantum System, Department of Physics, University of Queensland, Brisbane, Queensland 4072, Australia.
authors: A
authors: A
authors: Bolt
authors: Département de Physique, Université de Sherbrooke, Québec J1K 2R1, Canada.
authors: G
authors: G
authors: Duclos-Cianci
authors: Département de Physique, Université de Sherbrooke, Québec J1K 2R1, Canada.
authors: D
authors: D
authors: Poulin
authors: ARC Centre for Engineered Quantum System, Department of Physics, University of Queensland, Brisbane, Queensland 4072, Australia.
authors: T M
authors: TM
authors: Stace