量子态的操作变换率
Operational transformation rates of quantum states
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中文总结 AI 辅助
本研究放宽量子态的iid假设，通过de Finetti论证证明操作状态集合可渐近表示为近似iid状态，并引入纠缠代价与蒸馏的操作类比变换率，探讨其与iid率的一致性。
中文摘要 AI 辅助
通常，量子态的多个副本由该状态的张量幂描述。然而，从操作的角度来看，实验者通常无法排除未知位置上的缺陷或副本之间的相关性，因此先验地假设独立同分布（iid）副本是不合理的。在下文中，我们通过考虑一个与张量幂状态从根本上不可区分、因此在实验者看来类似于量子态多个副本的资源状态集合，来放宽iid假设。利用de Finetti型论证，我们证明该操作状态集合可以渐近地由近似iid状态表示。作为应用，我们引入了渐近变换率的操作类比，如纠缠代价和蒸馏。这提出了这些率是否与其iid对应率一致的问题。
英文摘要
Typically, multiple copies of a quantum state are described by a tensor power of that state. However, from an operational point of view, an experimentalist cannot, in general, rule out imperfections at unknown positions or correlations between copies, so assuming independent and identically distributed (iid) copies is not justified a priori. In the following, we relax the iid assumption by considering a whole set of resource states that are fundamentally indistinguishable from a tensor power state, and in that sense look like many copies of the quantum state to the experimentalist. Using a de Finetti-type argument, we show that this operational set of states can asymptotically be represented by almost-iid states. As an application, we introduce operational analogues of asymptotic transformation rates, such as entanglement cost and distillation. This raises the question of whether these rates coincide with their iid counterparts.
发表机构
- Institute for Theoretical Physics, ETH Zurich（苏黎世联邦理工学院理论物理研究所）
机构由 AI 辅助整理，请以论文原文为准。
