{"title":"互补探测器和状态准备误差与爱因斯坦-波多尔斯基-罗森-玻姆自旋实验中的经典性","authors":"Anupam Garg","doi":"10.1007/s10701-024-00805-2","DOIUrl":null,"url":null,"abstract":"<div><p>The spin-<i>j</i> Einstein–Podolsky–Rosen–Bohm experiment is examined in the context of how the quantum theoretic probability distributions for the spin measurement outcomes are to be coarse-grained in order to yield classical behavior in the <span>\\(j \\rightarrow \\infty \\)</span> limit. A coarse-graining protocol is found that can be viewed as imperfection either in the detection process or in state preparation process, and is in both viewpoints minimal in the sense that it is no more than what is needed to wash out the execess quantum correlations. In the first point of view the coarse-grained distribution can be written in terms of a Bell-type factorizable hidden variable model wherein the conditional distributions for the spin measurement outcome of each particle is not just nonnegative but actually attains the value zero for some choice of measurement axis. In the second point of view the coarse-grained distribution arises from a spin state whose Wigner function is not just nonnegative but actually attains the value zero for some spin orientations. That such a remarkable dual interpretation should be possible suggests that this type of complementary coarse graining is an intrinsic aspect of how classicality is obtained in the large <i>j</i> limit, but this conclusion remains speculative.</p></div>","PeriodicalId":569,"journal":{"name":"Foundations of Physics","volume":"54 5","pages":""},"PeriodicalIF":1.2000,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Complementary Detector and State Preparation Error and Classicality in the Spin-j Einstein–Podolsky–Rosen–Bohm Experiment\",\"authors\":\"Anupam Garg\",\"doi\":\"10.1007/s10701-024-00805-2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The spin-<i>j</i> Einstein–Podolsky–Rosen–Bohm experiment is examined in the context of how the quantum theoretic probability distributions for the spin measurement outcomes are to be coarse-grained in order to yield classical behavior in the <span>\\\\(j \\\\rightarrow \\\\infty \\\\)</span> limit. A coarse-graining protocol is found that can be viewed as imperfection either in the detection process or in state preparation process, and is in both viewpoints minimal in the sense that it is no more than what is needed to wash out the execess quantum correlations. In the first point of view the coarse-grained distribution can be written in terms of a Bell-type factorizable hidden variable model wherein the conditional distributions for the spin measurement outcome of each particle is not just nonnegative but actually attains the value zero for some choice of measurement axis. In the second point of view the coarse-grained distribution arises from a spin state whose Wigner function is not just nonnegative but actually attains the value zero for some spin orientations. That such a remarkable dual interpretation should be possible suggests that this type of complementary coarse graining is an intrinsic aspect of how classicality is obtained in the large <i>j</i> limit, but this conclusion remains speculative.</p></div>\",\"PeriodicalId\":569,\"journal\":{\"name\":\"Foundations of Physics\",\"volume\":\"54 5\",\"pages\":\"\"},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2024-10-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Foundations of Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10701-024-00805-2\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Foundations of Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10701-024-00805-2","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}
Complementary Detector and State Preparation Error and Classicality in the Spin-j Einstein–Podolsky–Rosen–Bohm Experiment
The spin-j Einstein–Podolsky–Rosen–Bohm experiment is examined in the context of how the quantum theoretic probability distributions for the spin measurement outcomes are to be coarse-grained in order to yield classical behavior in the \(j \rightarrow \infty \) limit. A coarse-graining protocol is found that can be viewed as imperfection either in the detection process or in state preparation process, and is in both viewpoints minimal in the sense that it is no more than what is needed to wash out the execess quantum correlations. In the first point of view the coarse-grained distribution can be written in terms of a Bell-type factorizable hidden variable model wherein the conditional distributions for the spin measurement outcome of each particle is not just nonnegative but actually attains the value zero for some choice of measurement axis. In the second point of view the coarse-grained distribution arises from a spin state whose Wigner function is not just nonnegative but actually attains the value zero for some spin orientations. That such a remarkable dual interpretation should be possible suggests that this type of complementary coarse graining is an intrinsic aspect of how classicality is obtained in the large j limit, but this conclusion remains speculative.
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.