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arXiv 0801.0821quant-phcs.ITmath.IT
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统一量子卷积编码

Unified Quantum Convolutional Coding

Mark M. Wilde, Todd A. Brun

备注：
5 pages, 1 figure, Accepted for publication in the Proceedings of the 2008 IEEE International Symposium on Information Theory (ISIT 2008)
发表信息：
Proceedings of the 2008 International Symposium on Information Theory, pp. 359-363, Toronto, Ontario, Canada, July 2008.
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摘要：

我们概述了一种用于保护经典比特和量子比特流的量子卷积编码技术。我们的目标是提供一个框架来设计代码，该代码接近纠缠辅助量子信道的“祖父”能力，用于同时发送经典和量子信息。我们的方法结合了几种量子冗余资源：新鲜的辅助量子位，纠缠位和规范量子位。这些不同资源的使用使我们的技术具有主动和被动量子纠错的优点。我们可以用周期性的量子门对经典量子比特流进行编码，因为我们的编码具有卷积结构。我们以一个“祖父”量子卷积码的例子结束，该量子卷积码通过每帧一个新的辅助量子比特、一个纠缠比特和一个计量量子比特来保护每帧一个量子比特和一个经典比特。我们明确地提供了这个例子的编码和解码电路。

英文摘要：

We outline a quantum convolutional coding technique for protecting a stream of classical bits and qubits. Our goal is to provide a framework for designing codes that approach the ``grandfather'' capacity of an entanglement-assisted quantum channel for sending classical and quantum information simultaneously. Our method incorporates several resources for quantum redundancy: fresh ancilla qubits, entangled bits, and gauge qubits. The use of these diverse resources gives our technique the benefits of both active and passive quantum error correction. We can encode a classical-quantum bit stream with periodic quantum gates because our codes possess a convolutional structure. We end with an example of a ``grandfather'' quantum convolutional code that protects one qubit and one classical bit per frame by encoding them with one fresh ancilla qubit, one entangled bit, and one gauge qubit per frame. We explicitly provide the encoding and decoding circuits for this example.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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