论文标题
量子资源协方差
Quantum resource covariance
论文作者
论文摘要
特殊相对论和量子力学的发展标志着现代物理时代的开始。前者告诉我们,虽然时空是框架依赖的概念,但仍有一个数量 - 时空间隔 - 其价值所有惯性观察者都同意。可以说,这揭示了宇宙的真实“事实”,是一个相对论的不变。另一方面,由于量子力学的曙光,理论的意义尚无共识。诚然的情况是微妙的:量子理论基于复杂的矢量空间,观察者和参考框架的概念是有争议的。在这里,我们构建了一个理论框架,其中给定的量子资源的组合被证明是伽利略的不变性。为此,我们假设“观察者”和“观察者”之间的关系对称性原理,并采用了量子参考框架的概念。然后,统一转换遵循,从任何量子系统的角度来看,我们就可以感知物理资源。有趣的是,我们发现一个人不仅需要量子相干性和量子相关性才能证明量子资源协方差。最后,我们表明量子力学所隐含的物理现实概念不是绝对的。
The developments of special relativity and quantum mechanics marked the beginning of the modern physics age. The former has taught us that while space and time are frame dependent notions, there is a quantity -- the space-time interval -- whose value all inertial observers agree upon. This reveals, so to speak, a genuine "fact" of the universe, a relativistic invariant. On the other hand, since the dawn of quantum mechanics, there is no consensus on what the theory is all about. The situation is admittedly subtler: quantum theory is grounded on a complex vector space and the very notions of observer and reference frame are controversial. Here we construct a theoretical framework within which a given combination of quantum resources is shown to be a Galilean invariant. To this end, we postulate a principle of relational symmetry between "the observer" and "the observed" and employ the notion of quantum reference frame. Unitary transformations then follow that allow us to perceive the physical resources seen from the viewpoint of any quantum system. Interestingly, we find that one needs more than quantum coherence and quantum correlations to prove quantum resources covariance. Finally, we show that the notion of physical reality implied by quantum mechanics is not absolute.