论文标题
随着时间的流逝
On quantum states over time
论文作者
论文摘要
2017年，D。Horsman，C。Heunen，M。Pusey，J。Barrett和R. Spekkens证明，没有物理合理的分配可以采用量子通道和初始状态，并在输入和输出空间的张量产品上产生联合状态。解释是，在量子环境中的空间和时间之间存在明显的区别，而在后者中，可以自由地使用贝叶斯定理在关节状态和带有噪音通道的边际之间进行。在本文中，我们证明实际上有一个身体上合理的任务，绕过了Horsman等人的无效结果，我们说明这是可以通过将其分配的域限制为更忠实地代表给定数据的域而实现的。
In 2017, D. Horsman, C. Heunen, M. Pusey, J. Barrett, and R. Spekkens proved that there is no physically reasonable assignment that takes a quantum channel and an initial state and produces a joint state on the tensor product of the input and output spaces. The interpretation was that there is a clear distinction between space and time in the quantum setting that is not visible classically, where in the latter, one can freely use Bayes' theorem to go between joint states and marginals with noisy channels. In this paper, we prove that there actually is such a physically reasonable assignment, bypassing the no-go result of Horsman et al., and we illustrate that this is achievable by restricting the domain of their assignment to a domain which represents the given data more faithfully.
