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arXiv quant-ph/0003040quant-ph
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量子容量的统一方法:量子噪声编码定理

Unified approach to quantum capacities: towards quantum noisy coding theorem

Michal Horodecki, Pawel Horodecki, Ryszard Horodecki

摘要:

基于对{ \it all}类量子容量的统一处理,我们证明了量子信息的传输速率受相干信息的最大可达速率的限制。此外,我们还证明了,如果对任何两体态的单向可压缩纠缠不小于相干信息,那么我们得到了所有容量的Shannon公式。该不等式还表明,由于混合过程导致的纠缠度的减少不超过系统相应的损失信息。

英文摘要:

Basing on unified approach to {\it all} kinds of quantum capacities we show that the rate of quantum information transmission is bounded by the maximal attainable rate of coherent information. Moreover, we show that, if for any bipartite state the one-way distillable entanglement is no less than coherent information, then one obtains Shannon-like formulas for all the capacities. The inequality also implies that the decrease of distillable entanglement due to mixing process does not exceed of corresponding loss information about a system.

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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