论文标题
解码一般错误纠正代码和互补性的作用
Decoding general error correcting codes and the role of complementarity
论文作者
论文摘要
在各种类别的量子误差校正代码（QECC）中，非稳定器代码具有丰富的属性，并且具有理论和实际利益。但是，解码非稳定器代码是一项高度不平凡的任务。在本文中，我们表明Calderbank-s-s-s-steane（CSS）代码的解码电路可以直接扩展以处理一般的QECC。扩展的关键在于使用与要解码的QECC相关的一对经典量词（CQ）代码。所提出的解码电路的解码误差取决于CQ代码的经典解码误差及其互补程度。我们在黑洞信息悖论的玩具模型中演示了解码电路的功能，与以前的结果相比，解码错误改善了。此外，我们揭示了黑洞动力学可能会最佳地编码量子信息，但编码较差的经典信息。
Among various classes of quantum error correcting codes (QECCs), non-stabilizer codes have rich properties and are of theoretical and practical interest. Decoding non-stabilizer codes is, however, a highly non-trivial task. In this paper, we show that a decoding circuit for Calderbank-Shor-Steane (CSS) codes can be straightforwardly extended to handle general QECCs. The key to the extension lies in the use of a pair of classical-quantum (CQ) codes associated with the QECC to be decoded. The decoding error of the proposed decoding circuit depends on the classical decoding errors of the CQ codes and their degree of complementarity. We demonstrate the power of the decoding circuit in a toy model of the black hole information paradox, improving decoding errors compared to previous results. In addition, we reveal that black hole dynamics may optimally encode quantum information but poorly encode classical information.
