Quantum Information Theory

量子信息论

• 批准号: 1018401
• 负责人: Mary Beth Ruskai
• 金额: $ 10.03万
• 依托单位: Tufts University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2010
• 资助国家: 美国
• 起止时间: 2010-08-01 至 2014-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1018401&HistoricalAwards=false
• 关键词: Quantum; Information; Theory

It is was recently proved that there are situations in which the quantum phenomenon called entanglement can increase the capacity of a quantum channel used to transmit classical information. Such channels are called non-additive; however, no explicit examples are known. Even more recently, it was observed that the anti-symmetry associated with the Pauli exclusion principle can be used to give an example of a channel which is non-additive for a related quantity, called the minimal output Renyi entropy, when p 2. This grant is intended to construct more examples of non-additive channels and clarify our understanding of this phenomenon. In connection with this, the PI will closely examine the role of permutational symmetry in quantum information theory. The PI will also study entropy inequalities and cones of entropy vectors for composite systems. This highly interdisciplinary work will clarify the role of the Pauli exclusion principle, which is often suppressed in quantum information theory. It will also be of interest to quantum chemists and condensed matter physicists, particularly those who used reduced density matrices. The work should help identify situations in which quantum systems have advantages over classical ones for communication, as well as computation.

最近证明，在某些情况下，称为纠缠的量子现象可以增加用于传输经典信息的量子通道的能力。 这样的渠道称为非添加性；但是，尚无明确的例子。 甚至最近，观察到，与Pauli排除原则相关的反对称性可用于给出一个示例的示例，该通道的示例是无addive的相关数量的通道，称为最小输出renyi熵，当P 2时，此赠款旨在构建更多的非辅助通道示例，并阐明我们对这种现象的理解。 与此相关的是，PI将仔细研究量表对称性在量子信息理论中的作用。 PI还将研究复合系统的熵矢量的熵不平等和锥。 这项高度的跨学科工作将阐明保利排除原则的作用，这通常在量子信息理论中受到抑制。 量子化学家和凝结物理学家，尤其是使用降低密度矩阵的物理学家，这也将很感兴趣。 这项工作应有助于确定量子系统比经典通信和计算具有优势的情况。