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.

最近被证明，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容量。这样的通道被称为非加性；然而，还没有明确的例子。最近，人们观察到与Pauli不相容原理有关的反对称可以用来给出一个例子，当p为2时，一个相关的量是非可加的，称为最小输出Renyi熵。本文的目的是构造更多的非可加信道的例子，并澄清我们对这一现象的理解。与此相关的是，PI将密切研究置换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向量的熵不等和圆锥。这项高度跨学科的工作将阐明泡利不相容原理的作用，该原理在量子信息论中经常被抑制。量子化学家和凝聚态物理学家也会对它感兴趣，特别是那些使用约化密度矩阵的人。这项工作应该有助于识别量子系统在通信和计算方面比经典系统更具优势的情况。