论文标题
一声量子误差校正经典和量子信息
One-shot quantum error correction of classical and quantum information
论文作者
论文摘要
量子误差校正（QEC）是量子信息科学中的核心概念之一，并且在基本物理学中也具有广泛的应用。能力定理提供QEC的固体基础。在这里，我们在这里为经典和量子信息（即混合信息）提供了一种一般且高度适用的容量定理形式，并在一次性场景中的有限纠缠资源的帮助下，涵盖了比现有情况更广泛的情况。利用定理的广泛适用性，我们表明，短随机量子电路对QEC进行了证明是可行的，并且QEC在量子混沌系统中是固有的。我们的结果弥合了量子信息理论，近乎未来的量子技术和基本物理学的进展。
Quantum error correction (QEC) is one of the central concepts in quantum information science and also has wide applications in fundamental physics. The capacity theorems provide solid foundations of QEC. We here provide a general and highly applicable form of capacity theorem for both classical and quantum information, i.e., hybrid information, with assistance of a limited resource of entanglement in one-shot scenario, which covers broader situations than the existing ones. Harnessing the wide applicability of the theorem, we show that a demonstration of QEC by short random quantum circuits is feasible and that QEC is intrinsic in quantum chaotic systems. Our results bridge the progress in quantum information theory, near-future quantum technology, and fundamental physics.
