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arXiv 2202.03607quant-phmath.CT
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关于随时间变化的量子态

On quantum states over time

James Fullwood, Arthur J. Parzygnat

摘要:

2017年,D.霍斯曼角Heunen,M. Pusey,J. Barrett,and R. Spekkens证明,没有物理上合理的分配,需要一个量子信道和一个初始状态,并在输入和输出空间的张量积上产生一个联合状态。这种解释是,在量子环境中,空间和时间之间存在着明显的区别,这在经典中是不可见的,在后者中,人们可以自由地使用贝叶斯定理在联合状态和噪声信道的边缘之间进行转换。在本文中,我们证明了实际上存在这样一个物理上合理的分配,绕过了Horsman等人的no-go结果,并且我们举例说明,这可以通过将它们的分配域限制为更忠实地表示给定数据的域来实现。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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