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The Generation Cost of Bipartite Quantum States under LOCC

zqyin 添加于 2014-12-2 12:32 | 1446 次阅读 | 0 个评论

作者
Wei Z, Yin Z
摘要
We consider a realistic setting of quantum tasks that generate shared bipartite quantum states. Suppose alice and bob are located at different places and need to produce a target shared quantum state $rho$. In order to save quantum communication, they can choose to share a proper smaller quantum state $sigma$ first, and then turn $sigma$ to $rho$ by performing only local quantum operations and classical communications (LOCC). We hope $sigma$ is the optimal such that the quantum communication needed is as little as possible, which is called the generation cost of $rho$. In this paper, for an arbitrary bipartite $rho$, we characterize its generation cost completely by proving that it is exactly equivalent to the logarithm of the Schmidt number of $rho$. Similar quantum schemes where classical communication is not allowed have actually been considered. By comparing the two settings, we are able to look into the role that classical communication plays in these fundamental tasks, where we exhibit some instances in which classical communication is not helpful completely.
详细资料
- 关键词: quant-ph; cs.CC; cs.IT; math.IT
- 文献种类:手稿
- 期卷页: 2014年
- 日期: 2014-12-1
- 发布方式: arXiv e-prints
- 备注:arXiv:1412.0449v1; 7 pages
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