二分量子态的结构——群论与密码学的洞见
量子物理
2007-05-23 v1
摘要
本论文呈现对二分量子态结构的研究。第一部分利用酉群与对称群的表示理论来分析量子态的谱。特别地，展示了如何推导二分量子态与其约化态的谱和对称群 Kronecker 系数之间的一一对应关系。第二部分聚焦于二分量子态的纠缠。借鉴纠缠蒸馏与经典密码学中秘密密钥协商之间的类比，引入了一种新的纠缠度量——“压缩纠缠”(squashed entanglement)。
引用
@article{arxiv.quant-ph/0604183,
title = {The Structure of Bipartite Quantum States - Insights from Group Theory and Cryptography},
author = {Matthias Christandl},
journal= {arXiv preprint arXiv:quant-ph/0604183},
year = {2007}
}
备注
PhD thesis, February 2006, University of Cambridge. Part I contains results from quant-ph/0409016 and quant-ph/0511029, and analyses Horn's problem in this context. Part II reviews entanglement measures, presents results from quant-ph/0308088 and quant-ph/0501090, and provides new material on entanglement measures, information-gain versus disturbance tradeoffs and cheat sensitive quantum string commitment