论文标题
超越I.I.D.在不对称的资源理论中：量子渔民信息的信息光谱方法
Beyond i.i.d. in the Resource Theory of Asymmetry: An Information-Spectrum Approach for Quantum Fisher Information
论文作者
论文摘要
对于各种操作，精力连贯性是必不可少的，包括精确测量时间和量子操作的加速度。由于能量连贯性是脆弱的，因此必须了解蒸馏和稀释的极限以恢复损害。不对称的资源理论（RTA）提供了一个严格的框架，以研究能量连贯性，作为打破时间翻译对称性的资源。最近，在I.I.D.将状态的相同副本转换为另一个状态的相同副本的政权，已经表明，能量连贯性的可转换性受到能量连贯性的标准度量，称为量子Fisher信息（QFI）。这一事实意味着，在能量连贯性理论中，QFI代替了纠缠理论中热力学和纠缠熵的熵。但是，在现实情况下，蒸馏和稀释发生在I.I.D.以外的政权中，量子状态通常具有复杂的相关性。与纠缠理论不同，非i.i.d中的纯状态中的能量连贯性的转换理论。政权一直是一个空旷的问题。在这封信中，我们通过引入一种新技术来解决此问题：QFI的信息光谱方法。证明两个基本数量的相干成本和可蒸馏的连贯性等于纯状态的任意序列的频谱QFI速率。结果，我们发现非i.i.d.d.在信息光谱法中，在分别基于不同数量的情况下，即熵和QFI中了解了制度。
Energetic coherence is indispensable for various operations, including precise measurement of time and acceleration of quantum manipulations. Since energetic coherence is fragile, it is essential to understand the limits in distillation and dilution to restore damage. The resource theory of asymmetry (RTA) provides a rigorous framework to investigate energetic coherence as a resource to break time-translation symmetry. Recently, in the i.i.d. regime where identical copies of a state are converted into identical copies of another state, it has been shown that the convertibility of energetic coherence is governed by a standard measure of energetic coherence, called the quantum Fisher information (QFI). This fact means that QFI in the theory of energetic coherence takes the place of entropy in thermodynamics and entanglement entropy in entanglement theory. However, distillation and dilution in realistic situations take place in regimes beyond i.i.d., where quantum states often have complex correlations. Unlike entanglement theory, the conversion theory of energetic coherence in pure states in the non-i.i.d. regime has been an open problem. In this Letter, we solve this problem by introducing a new technique: an information-spectrum method for QFI. Two fundamental quantities, coherence cost and distillable coherence, are shown to be equal to the spectral QFI rates for arbitrary sequences of pure states. As a consequence, we find that both entanglement theory and RTA in the non-i.i.d. regime are understood in the information-spectrum method, while they are based on different quantities, i.e., entropy and QFI, respectively.
