Gabriele Carcassi, Andrea Oldofredi, Christine A. Aidala
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引用次数: 0
Abstract
In this paper we show that \(\psi\)-ontic models, as defined by Harrigan and Spekkens (HS), cannot reproduce quantum theory. Instead of focusing on probability, we use information theoretic considerations to show that all pure states of \(\psi\)-ontic models must be orthogonal to each other, in clear violation of quantum mechanics. Given that (i) Pusey, Barrett and Rudolph (PBR) previously showed that \(\psi\)-epistemic models, as defined by HS, also contradict quantum mechanics, and (ii) the HS categorization is exhausted by these two types of models, we conclude that the HS categorization itself is problematic as it leaves no space for models that can reproduce quantum theory.
在本文中，我们证明了哈里根和斯派肯斯（HS）定义的（\(\psi\)-ontic）模型不能再现量子理论。我们没有把重点放在概率上，而是利用信息论的考虑来证明（\(\psi\)-ontic模型的所有纯态必须是正交的，这明显违反了量子力学。鉴于(i)普西、巴雷特和鲁道夫（Pusey, Barrett and Rudolph, PBR）先前证明了由HS定义的（\(\psi\)-epistemic）模型也与量子力学相矛盾，以及(ii)HS分类已被这两类模型穷尽，我们得出结论说，HS分类本身是有问题的，因为它没有给能够重现量子理论的模型留下任何空间。
期刊介绍：
The conceptual foundations of physics have been under constant revision from the outset, and remain so today. Discussion of foundational issues has always been a major source of progress in science, on a par with empirical knowledge and mathematics. Examples include the debates on the nature of space and time involving Newton and later Einstein; on the nature of heat and of energy; on irreversibility and probability due to Boltzmann; on the nature of matter and observation measurement during the early days of quantum theory; on the meaning of renormalisation, and many others.
Today, insightful reflection on the conceptual structure utilised in our efforts to understand the physical world is of particular value, given the serious unsolved problems that are likely to demand, once again, modifications of the grammar of our scientific description of the physical world. The quantum properties of gravity, the nature of measurement in quantum mechanics, the primary source of irreversibility, the role of information in physics – all these are examples of questions about which science is still confused and whose solution may well demand more than skilled mathematics and new experiments.
Foundations of Physics is a privileged forum for discussing such foundational issues, open to physicists, cosmologists, philosophers and mathematicians. It is devoted to the conceptual bases of the fundamental theories of physics and cosmology, to their logical, methodological, and philosophical premises.
The journal welcomes papers on issues such as the foundations of special and general relativity, quantum theory, classical and quantum field theory, quantum gravity, unified theories, thermodynamics, statistical mechanics, cosmology, and similar.
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