论文标题
两个相对论费米的量子不和谐和熵量
Quantum discord and entropic measures of two relativistic fermions
论文作者
论文摘要
在目前的工作中，我们研究了两个相对论费米子系统中相对论效应与量子性之间的相互作用。特别是，我们探讨了在应用增强和随后的Wigner旋转之前和之后的量子相关性和量子不一致的熵测量。我们还研究了增强之前和之后的阳性操作员值测量（POVM）的侵袭性。尽管相对论原理是通用的，并且需要整个系统中量子相关性的洛伦兹不变性，但我们发现了在特定子系统中存储的量子相关性并不不变的特定分区。我们计算应用提升前后状态对应的量子不一致，并观察到该状态在提升后获得了额外的不和谐。在分析POVM的侵入性时，我们发现将POVM应用于初始纠缠状态会将不和谐降低到零。但是，在同一POVM之后，增强状态的不和谐生存。因此，我们得出的结论是，洛伦兹（Lorentz）提升产生的量子不和谐在保护性POVM方面是可靠的，而测量值对初始状态的不一致产生了侵入性影响。最后，我们讨论了使用顶级夸克作为基准场景的这项工作思想的潜在实施。
In the present work, we study the interplay between relativistic effects and quantumness in the system of two relativistic fermions. In particular, we explore entropic measures of quantum correlations and quantum discord before and after application of a boost and subsequent Wigner rotation. We also study the positive operator-valued measurements (POVM) invasiveness before and after the boosts. While the relativistic principle is universal and requires Lorentz invariance of quantum correlations in the entire system, we have found specific partitions where quantum correlations stored in particular subsystems are not invariant. We calculate quantum discords corresponding of the states before and after applying a boost, and observe that the state gains extra discord after the boost. When analyzing the invasiveness of the POVMs, we have found that the POVM applied to the initial entangled state reduces the discord to zero. However, discord of the boosted state survives after the same POVM. Thus we conclude that the quantum discord generated by Lorentz boost is robust concerning the protective POVM, while the measurement exerts an invasive effect on the discord of the initial state. Finally, we discuss potential implementation of the ideas of this work using top quarks as a benchmark scenario.
