Quantum trade-off coding for bosonic communication

Quantum trade-off coding for bosonic communication
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玻色子通信的量子权衡编码

DOI:
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发表时间:
2011
期刊:
arXiv.org
影响因子:
--
通讯作者:
S. Guha
S. Guha
中科院分区:
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文献类型:
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作者:
M. Wilde;P. Hayden;S. Guha

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量子信道的权衡容量区域表征了发送者可以通过利用信道的许多独立用途以及相同资源的帮助来将经典比特、量子比特和纠缠比特传送给接收者的最佳净速率。类似地,当无噪声资源是公共、私有和秘密密钥位时,可以考虑权衡容量区域。在[物理。莱特牧师。 108, 140501 (2012)],我们确定了纯损耗玻色子通道的这些权衡率区域,并证明只要长期存在的最小输出熵猜想成立,它们就是最优的。此外,我们还表明,与分时策略相比,权衡编码策略的性能提升可能非常显着。在本文中,我们提供了其中公布的结果的详细推导,并将这些想法的应用扩展到热化和放大玻色子通道。我们还得出了权衡编码的“经验法则”,它决定了如果通道输入处有大量平均光子数可用,如何在编码策略中分配光子。我们关于放大玻色子通道的结果也适用于在相对论量子信息论背景下考虑的“安鲁通道”。
The trade-off capacity region of a quantum channel characterizes the optimal net rates at which a sender can communicate classical, quantum, and entangled bits to a receiver by exploiting many independent uses of the channel, along with the help of the same resources. Similarly, one can consider a trade-off capacity region when the noiseless resources are public, private, and secret key bits. In [Phys. Rev. Lett. 108, 140501 (2012)], we identified these trade-off rate regions for the pure-loss bosonic channel and proved that they are optimal provided that a longstanding minimum output entropy conjecture is true. Additionally, we showed that the performance gains of a trade-off coding strategy when compared to a time-sharing strategy can be quite significant. In the present paper, we provide detailed derivations of the results announced there, and we extend the application of these ideas to thermalizing and amplifying bosonic channels. We also derive a "rule of thumb" for trade-off coding, which determines how to allocate photons in a coding strategy if a large mean photon number is available at the channel input. Our results on the amplifying bosonic channel also apply to the "Unruh channel" considered in the context of relativistic quantum information theory.
DOI: 10.1103/physreva.82.042332
发表时间: 2010-10-26
期刊: PHYSICAL REVIEW A
影响因子: 2.9
作者:
Bruschi, David E.;Louko, Jorma;Fuentes, Ivette
通讯作者: Fuentes, Ivette