施密特在身份问题上
Schmidt balls around the identity
摘要：
Vidal和Tarrach [PRA，59，141-155]引入的鲁棒性度量量化了纠缠态在混合下保持纠缠的程度。类似地，我们在这里介绍了施密特鲁棒性和随机施密特鲁棒性。后一个概念与围绕身份的施密特球的构建密切相关。我们分析了纯态的情况，并提供了非平凡的上限和下限。随机Schmidt-2鲁棒性的上界允许我们构建一个特别简单的可扩展性准则。我们给出了两个关系式，第一个关系式与Schmidt数n态凸集上围绕恒等式的内球半径有关。我们还猜想了一类纯态的最优Schmidt见证。
英文摘要：
Robustness measures as introduced by Vidal and Tarrach [PRA, 59, 141-155] quantify the extent to which entangled states remain entangled under mixing. Analogously, we introduce here the Schmidt robustness and the random Schmidt robustness. The latter notion is closely related to the construction of Schmidt balls around the identity. We analyse the situation for pure states and provide non-trivial upper and lower bounds. Upper bounds to the random Schmidt-2 robustness allow us to construct a particularly simple distillability criterion. We present two conjectures, the first one is related to the radius of inner balls around the identity in the convex set of Schmidt number n-states. We also conjecture a class of optimal Schmidt witnesses for pure states.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
