论文标题
希尔伯特空间配方中的量子状态是真实的吗？
Is the Quantum State Real in the Hilbert Space Formulation?
论文作者
论文摘要
关于量子状态现实的持续辩论最近因其对量子信息和量子计算社区的重要性而受到关注。几乎所有的审议都使用了优雅，功能强大但抽象的希尔伯特（Hilbert）空间形式主义的量子力学形式，并从约翰·冯·诺伊曼（John von Neumann）的开创性贡献中开发出来。由于很难直接了解抽象向量空间中的事件，因此很难追踪现象的进度。在希尔伯特（Hilbert）空间中量子状态的现实的众多尝试中，Pusey-Barrett-Rudolph理论因其证明而获得最大的认可。但是它的一些假设受到批评，这些假设仍然不完全没有漏洞。基于当前公认的通用量子场的基本现实，已经提出了单个粒子波数据包函数现实的直接证明。量子状态（例如包含波浪包的原子能水平）已被证明是真实的。在这里，我们表明，从量子场的现实中收集的量子状态的现实的明确证明也可以明确地证明希尔伯特空间中量子状态的现实。
The persistent debate about the reality of a quantum state has recently come under limelight because of its importance to quantum information and the quantum computing community. Almost all of the deliberations are taking place using the elegant and powerful but abstract Hilbert space formalism of quantum mechanics developed with seminal contributions from John von Neumann. Since it is rather difficult to get a direct perception of the events in an abstract vector space, it is hard to trace the progress of a phenomenon. Among the multitude of recent attempts to show the reality of the quantum state in Hilbert space, the Pusey-Barrett-Rudolph theory gets most recognition for their proof. But some of its assumptions have been criticized, which are still not considered to be entirely loophole free. A straightforward proof of the reality of the wave packet function of a single particle has been presented earlier based on the currently recognized fundamental reality of the universal quantum fields. Quantum states like the atomic energy levels comprising the wave packets have been shown to be just as real. Here we show that an unambiguous proof of reality of the quantum states gleaned from the reality of quantum fields can also provide an explicit substantiation of the reality of quantum states in Hilbert space.
