Understanding and exploiting quantum effects in quantum communications and entanglement manipulation

所有数据都存储在物理系统中并由物理系统传输，这些物理系统最终都由量子力学控制。我们的信息技术针对经典通信和处理进行了优化，但它开始遇到这种量子前沿。我们正在探索新的可能性，如量子数据压缩，量子密码学，隐形传态和有效的因子分解算法。这一提议将发展一个广泛的量子通信理论。现代通信科学的巨大成功建立在香农理论上;我们的目标是将香农理论的见解和方法扩展到量子通信。在理解量子信息方面已经取得了重大进展，但量子通信理论的基础仍在建设中，重大的开放问题仍然存在。我们没有算法来确定一般可以达到什么样的通信速率，甚至在给定某些类型的噪声的情况下是否可以进行通信，我们还没有发现量子资源的全部潜力，例如纠缠。人们对通信信道提出的最基本的问题是：它能以多大的速率传输各种数据？这些速率被称为容量，是我们研究的一个重要焦点;特别是量子通信信道的经典，私有和量子容量。量子通信信道是复杂的，量子数据对噪声极其敏感，但最近的结果有相当大的希望。我们可以开始在对互补通道（描述数据向环境的丢失）不断加深的理解的基础上，对具有零量子或私有容量的通道进行全面分类，并了解这两个量之间的差异。我们还将研究如何通过经典侧信道加强量子传输，以及如何优化有限块长度消息的通信。一个孪生研究主题将研究纠缠和其他信息理论资源，以及它们如何增强信息处理任务。遵循一种使用合作游戏的有前途的方法，我们将限制这些辅助资源执行任务的效用，并试图理解为什么它们在所有情况下都不能被限制。这些问题的答案将影响通信理论以外的领域，因为它们对我们理解量子物理和量子复杂性理论至关重要。

All data is stored in and transmitted by physical systems, which are all ultimately governed by quantum mechanics. Our information technology is optimized for classical communication and processing, but it is beginning to encounter this quantum frontier. We are uncovering new possibilities such as quantum data compression, quantum cryptography, teleportation, and efficient factoring algorithms.******This proposal will develop a broad theory of quantum communication. The tremendous successes of modern communication science are founded in Shannon theory; our objective is to extend the insights and approaches of Shannon theory to quantum communication.******Significant progress has been made in understanding quantum information, but the foundations of quantum communication theory are still under construction, and significant open questions remain. We have no algorithms to determine what communication rates can be achieved in general, or even whether communication is possible given certain kinds of noise, and we have yet to discover the full potential of quantum resources such as entanglement.******The most fundamental question one can ask of a communication channel is: at what rates can it transmit various kinds of data? These rates, known as the capacities, are an important focus of our research; in particular the classical, private and quantum capacities of quantum communication channels.******Quantum communication channels are complex, and quantum data is extremely sensitive to noise, but recent results hold considerable promise. We can begin by building on our growing understanding of complementary channels – which describe the loss of data to the environment – to fully categorize channels with zero quantum or private capacity, and to understand the difference between these two quantities. We will also investigate how quantum transmission can be strengthened by classical side channels, and how the communication of finite block-length messages can be optimized.******A twin research theme will study entanglement and other information theoretic resources, and how they can enhance information processing tasks. Following a promising approach using cooperative games, we will bound the utility of these auxiliary resources for performing tasks, and seek to understand why they cannot be bounded in all cases.******Answers to these questions will impact fields beyond communication theory, for they are essential for our understanding of quantum physics and quantum complexity theory.**