通过速率分裂获得无辅助全量子信道的新型单次内界
Novel one-shot inner bounds for unassisted fully quantum channels via rate splitting
AI总结：
本文通过将速率分裂和连续消除技术扩展至量子单次设置，首次证明了无纠缠辅助量子多址接入信道和量子干扰信道发送量子信息的非平凡单次内界，并在渐近独立同分布极限下逼近已知速率区域。
摘要：
我们证明了首个非平凡的单次内界，用于在无纠缠辅助的双发送者量子多址接入信道（QMAC）和无辅助的双发送者双接收者量子干扰信道（QIC）上发送量子信息。先前的工作仅在信道的许多独立且相同使用（也称为渐近独立同分布极限）的极限下研究无辅助的QMAC，且完全没有研究无辅助的QIC。我们采用了两种技术，即速率分裂和连续消除，以获得我们的内界。速率分裂早先被用于在渐近独立同分布设置中为经典信道获得内界，从而避免了时间共享。我们的主要技术贡献是将速率分裂从经典渐近独立同分布设置扩展到量子单次设置。在渐近独立同分布极限下，我们针对QMAC的单次内界接近Yard、Devetak和Hayden的速率区域。对于QIC，我们在渐近独立同分布设置中获得了新颖的非平凡速率区域。我们所有的结果也扩展到提供有限纠缠辅助的情况，包括单次和渐近独立同分布设置。针对QMAC和QIC在单次设置下的有限纠缠结果都是新的。对于QIC，有限纠缠的结果即使在渐近独立同分布设置中也是新的。
英文摘要：
We prove the first non-trivial one-shot inner bounds for sending quantum information over an entanglement unassisted two-sender quantum multiple access channel (QMAC) and an unassisted two-sender two-receiver quantum interference channel (QIC). Previous works only studied the unassisted QMAC in the limit of many independent and identical uses of the channel also known as the asymptotic iid limit, and did not study the unassisted QIC at all. We employ two techniques, rate splitting and successive cancellation}, in order to obtain our inner bound. Rate splitting was earlier used to obtain inner bounds, avoiding time sharing, for classical channels in the asymptotic iid setting. Our main technical contribution is to extend rate splitting from the classical asymptotic iid setting to the quantum one-shot setting. In the asymptotic iid limit our one-shot inner bound for QMAC approaches the rate region of Yard, Devetak and Hayden. For the QIC we get novel non-trivial rate regions in the asymptotic iid setting. All our results also extend to the case where limited entanglement assistance is provided, in both one-shot and asymptotic iid settings. The limited entanglement results for one-setting for both QMAC and QIC are new. For the QIC the limited entanglement results are new even in the asymptotic iid setting.
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。
