论文标题
完全互补关系及其洛伦兹的不变性
Complete complementarity relations and its Lorentz invariance
论文作者
论文摘要
众所周知，洛伦兹（Lorentz）的纠缠高度取决于相关的增强情景。对于单个粒子状态，可以将自旋摩托明产物状态转化为纠缠状态。但是，纠缠只是完全表征量子系统的方面之一。另外两个被称为波颗粒偶性。尽管在洛伦兹的提升下，纠缠熵并不保持不变，并且既不是可预测性和一致性的衡量标准，但我们在这里表明，这三种措施在完全互补关系（CCR）中共同构成了洛伦兹不变性。佩雷斯等人，在[Phys。莱特牧师。 88，230402（2002）]意识到，即使可以在任何Lorentz框架中正式定义自旋，但在不同的Lorentz帧中可观察到的期望值之间也没有关系。类似地，即使可以在任何洛伦兹框架中正式定义互补性，但原则上，不同洛伦兹框架的互补关系之间也没有关系。但是，我们的结果表明，可以连接不同Lorentz框架中的完整互补关系。此外，我们探索了单个粒子状态和两个粒子状态的相对论方案，这有助于理解洛伦兹（Lorentz）在洛伦兹（Lorentz）提升下的量子系统不同方面的交换。
It is well known that entanglement under Lorentz boosts is highly dependent on the boost scenario in question. For single particle states, a spin-momentum product state can be transformed into an entangled state. However, entanglement is just one of the aspects that completely characterizes a quantum system. The other two are known as the wave-particle duality. Although the entanglement entropy does not remain invariant under Lorentz boosts, and neither do the measures of predictability and coherence, we show here that these three measures taken together, in a complete complementarity relation (CCR), are Lorentz invariant. Peres et al., in [Phys. Rev. Lett. 88, 230402 (2002)], realized that even though it is possible to formally define spin in any Lorentz frame, there is no relationship between the observable expectation values in different Lorentz frames. Analogously, even though it is possible to formally define complementarity in any Lorentz frame, in principle, there's no relationship between the complementarity relations of different Lorentz frames. However, our result shows that it's possible to connect complete complementarity relations in different Lorentz frames. In addition, we explore relativistic scenarios for single and two particle states, which helps in understanding the exchange of different aspects of a quantum system under Lorentz boosts.
