论文标题
用相关催化剂放大不对称性
Amplifying asymmetry with correlated catalysts
论文作者
论文摘要
我们研究了具有相关催化剂的量子状态中扩增不对称性的基本限制。在这里，相关的催化剂是有限维辅助，它可以准确保留其降低的状态，同时允许与量子系统相关。有趣的是，我们证明，在翻译不变的操作下，纯状态的催化剂在任何状态转换中都是无用的，而在混合状态下相关的催化剂，可以从最初的不对称状态中扩大一组可访问状态。此外，我们表明催化剂的功率随其尺寸的增加而增加，此外，使用足够大的催化剂，具有少量不对称性的量子状态可以转换为任何混合量子态状态。在此过程中，我们在两个重要结果之间建立了一座桥梁，该结果是关于连贯转换的限制，无路定理和催化连贯性的。我们的结果也可能适用于量子热力学相干演变的限制，以及量子时钟之间的定时信息的分布。
We investigate the basic constraint on amplifying the asymmetry in quantum states with correlated catalysts. Here a correlated catalyst is a finite-dimensional auxiliary, which exactly preserves its reduced state while allowed to become correlated to the quantum system. Interestingly, we prove that under translationally invariant operations, catalysts in pure states are useless in any state transformation, while with a correlated catalyst in a mixed state, one can enlarge the set of accessible states from an initially asymmetric state. Moreover, we show that the power of a catalyst increases with its dimension, and further, with a large enough catalyst, a qubit state with arbitrarily small amount of asymmetry can be converted to any mixed qubit state. In doing so, we build a bridge between two important results concerning the restrictions on coherence conversion, the no-broadcasting theorem and the catalytic coherence. Our results may also apply to the constraints on coherence evolution in quantum thermodynamics, and to the distribution of timing information between quantum clocks.
