量子态合并与负信息
Quantum state merging and negative information
摘要：
我们考虑一个量子态在许多遥远的位置之间共享，并定义了一个量子信息处理原语，状态合并，最佳地合并到一个位置的状态。正如[Horodecki，Oppenheim，Winter，Nature 436，673（2005）]中所宣布的，如果经典通信是免费的，则该任务的最佳纠缠成本是条件熵。由于这个量可以是负的，并且态合并率度量了部分量子信息，我们发现量子信息可以是负的。经典通信速率也有一个最小速率：一定的量子互信息。状态合并使人们能够解决一些开放的问题：分布式量子数据压缩，在解码器和发送器处具有边信息的量子编码，多方纠缠的援助，以及量子多路访问信道的容量。它还提供了强次可加性的一个操作证明。在这里，我们给出精确的定义，并严格证明这些结果。
英文摘要：
We consider a quantum state shared between many distant locations, and define a quantum information processing primitive, state merging, that optimally merges the state into one location. As announced in [Horodecki, Oppenheim, Winter, Nature 436, 673 (2005)], the optimal entanglement cost of this task is the conditional entropy if classical communication is free. Since this quantity can be negative, and the state merging rate measures partial quantum information, we find that quantum information can be negative. The classical communication rate also has a minimum rate: a certain quantum mutual information. State merging enabled one to solve a number of open problems: distributed quantum data compression, quantum coding with side information at the decoder and sender, multi-party entanglement of assistance, and the capacity of the quantum multiple access channel. It also provides an operational proof of strong subadditivity. Here, we give precise definitions and prove these results rigorously.
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。
