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arXiv 1209.2162quant-ph
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资源理论(英语:Resource Theories)

(Quantumness in the context of) Resource Theories

Michał Horodecki, Jonathan Oppenheim

摘要:

我们回顾了资源理论背后的基本思想,通过指定一类受限的操作来量化量子资源。这将状态空间划分为不同的集合,包括自由状态(因为它们可以在操作类下创建)和资源状态(因为它们不能)。可以通过到自由状态集合的相对熵距离来量化资源的价值,并且在某些条件下,这是量化状态到状态转换的速率的唯一度量。该框架包括纠缠、不对称和纯度理论。它还包括热力学,这是一个混合资源理论结合纯度理论和不对称性。另一种混合资源理论,它融合了纯度理论和纠缠,可以用来研究量子的相关性和不和谐,我们提出了量子在这个更一般的资源理论框架。

英文摘要:

We review the basic idea behind resource theories, where we quantify quantum resources by specifying a restricted class of operations. This divides the state space into various sets, including states which are free (because they can be created under the class of operations), and those which are a resource (because they cannot be). One can quantify the worth of the resource by the relative entropy distance to the set of free states, and under certain conditions, this is a unique measure which quantifies the rate of state to state transitions. The framework includes entanglement, asymmetry and purity theory. It also includes thermodynamics, which is a hybrid resource theory combining purity theory and asymmetry. Another hybrid resource theory which merges purity theory and entanglement can be used to study quantumness of correlations and discord, and we present quantumness in this more general framework of resource theories.

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。

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