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物理

评关洪著《一代神话—哥本哈根学派》

温奇亢

Published Jan 1, 2003• 0 citations
OpenAlex

Abstract

量子力学是在物理学里最成功和最精巧的理论之一,它只在一段相当短的时间里就建立起来了.历史上有许多重要的物理学理论是由很少数的几个人创立的,而这些理论都没有引起任何重大的争论.几个著名的例子是由牛顿创立的力学,由麦克斯韦创立的电磁学理论,和由爱因斯坦创立的狭义相对论.量子力学就大不相同了.为了得出它的数学方程式和意义解释,需要科学世界里最优秀的一批头脑的联合努力.不像在物理上已经得到充分发展和理解的经典力学那样,量子力学仍然在发展之中,并且仍然是在实验上和理论上都进行着紧张研究的一个领域.除了像定域性和测量问题之类为时已久的争论以外,量子现象的一些新领域仍然要进行探索和理解,例如量子传态(quantum teleportation),量子计算,包括玻色-爱因斯坦凝聚在内的宏观量子系统,多粒子纠缠态等等,依然不断地提出一些新的数学方程式以及新的解释,例如包括用正算符取值测度(positive-operator valued measures)和最大对称算符(maximal symmetric operators)去描述观察量,消相干(decoherence)和超选择定则(superselection rules)等等.近年出版的大量这方面的数学和哲学的专著以及教科书,反映了人们对于量子力学的强烈兴趣.

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量子力学是在物理学里最成功和最精巧的理论之一,它只在一段相当短的时间里就建立起来了.历史上有许多重要的物理学理论是由很少数的几个人创立的,而这些理论都没有引起任何重大的争论.几个著名的例子是由牛顿创立的力学,由麦克斯韦创立的电磁学理论,和由爱因斯坦创立的狭义相对论.量子力学就大不相同了.为了得出它的数学方程式和意义解释,需要科学世界里最优秀的一批头脑的联合努力.不像在物理上已经得到充分发展和理解的经典力学那样,量子力学仍然在发展之中,并且仍然是在实验上和理论上都进行着紧张研究的一个领域.除了像定域性和测量问题之类为时已久的争论以外,量子现象的一些新领域仍然要进行探索和理解,例如量子传态(quantum teleportation),量子计算,包括玻色-爱因斯坦凝聚在内的宏观量子系统,多粒子纠缠态等等,依然不断地提出一些新的数学方程式以及新的解释,例如包括用正算符取值测度(positive-operator valued measures)和最大对称算符(maximal symmetric operators)去描述观察量,消相干(decoherence)和超选择定则(superselection rules)等等.近年出版的大量这方面的数学和哲学的专著以及教科书,反映了人们对于量子力学的强烈兴趣.
摘要: 量子力学(Quantum mechanics)虽然预测能力强大,却缺乏一个连贯的本体论——其名称所蕴含的“机制(mechanics)”始终缺失。波粒二象性、纠缠以及复数的不可或缺性仍然是未解之谜,表明该理论在原则上可能是不完备的。基于物理信息宇宙论(PIC)框架——在该框架中,宇宙通过一个守恒的物理信息真空经两阶段相变而涌现——我们提出,量子实体并非粒子或波,而是高维“物理信息包”的三维投影。每个物理信息包内禀地拥有三重叠加的潜能:信息性(关联)、能量性(波)和物质性(粒子)。我们将这一三元结构称为信-波-粒三象性,作为波粒二象性的扩展,它是宇宙创生机制中递归部分跃迁(信息→能量→物质)的直接结果。我们证明:波粒二象性源于测量装置与能量性或物质性潜能的耦合;不确定性原理反映了这些观测“滤镜”的互斥性;纠缠则是信息性维度的显现。量子力学中复数结构的必要性被揭示为具有两个正交本体维度(物质性与能量性)的系统的必然代数表示。该框架解释了为何贝尔不等式的违背从一个局域视角看在全球性结构化的四面体宇宙中是不可避免的。它提供了一个简洁、可检验的本体论,将量子现象统一于生成所有实在的同一守恒物理信息之下。在这一图景中,PIC掷它自己的骰子——量子力学的概率不是理论不完备的标志,而是根植于宇宙创生的信息-能量-物质三象性的必然显现。 关键词: 物理信息;波粒二象性;信-波-粒三象性;量子纠缠;贝尔不等式;宇宙学 版本说明: 本中文版是英文原稿(Concept DOI: 10.5281/zenodo.19631653)的完整翻译。本翻译版在英文原稿基础上补充了作者PIC系列论文中关于哥德尔宇宙旋转、暗能量及κ场理论的预印本引用(文献[13]、[15]和[19]),以完善从CMB异常到四面体多重宇宙、暗能量、κ场理论,再到当前量子力学框架的完整论证链条。译文在术语和内容上力求忠实于原文。所有科学结论与英文原稿完全一致,未作任何修改。
Superselection rules severely alter the possible operations that can be implemented on a distributed quantum system. Whereas the restriction to local operations imposed by a bipartite setting gives rise to the notion of entanglement as a nonlocal resource, the superselection rule associated with particle number conservation leads to a new resource, the superselection induced variance of the local particle number. We show that, in the case of pure quantum states, one can quantify the nonlocal properties by only two additive measures, and that all states with the same measures can be asymptotically interconverted into each other by local operations and classical communication. Furthermore we discuss how superselection rules affect the concepts of majorization, teleportation, and mixed state entanglement.
In quantum theory, physically measurable quantities of a microscopic system are represented by self-adjoint operators. However, not all of the self-adjoint operators correspond to measurable quantities. The superselection rule is a criterion to distinguish measurable quantities. Any measurable quantity must obey the superselection rules. By contraposition, any quantity which does not obey the superselection rules cannot be measured. Although some of superselection rules were proved, the raizon d'être of the superselection rules has been still obscure. In this paper we deduce the superselection rules from an assumption on symmetry property of measurement process. We introduce the notion of covariant indicator, which is a macroscopic observable whose value indicates the value of a microscopic object observable. We prove that if an object system has a quantity that is conserved during the measurement process, other quantities that do not commute with the conserved quantity are non-measurable by the covariant indicator. Our derivation of superselection rules is compared with the uncertainty relation under the restriction by a conservation law. An implication of the color superselection rule for the color confinement is discussed. It is also argued that spontaneous symmetry breaking enables a measurement that the superselection rule prohibits.
Quantum teleportation is considered a basic primitive in many quantum information processing tasks and has been experimentally confirmed in various photonic and matter-based setups. Here, we consider teleportation of quantum information encoded in modes of a fermionic field. In fermionic systems, superselection rules lead to a more differentiated picture of entanglement and teleportation. In particular, one is forced to distinguish between single-mode entanglement swapping and qubit teleportation with or without authentication via Bell inequality violation, as we discuss here in detail. We focus on systems subject to parity superselection where the particle number is not fixed, and contrast them with systems constrained by particle number superselection which are relevant for possible practical implementations. Finally, we analyze the consequences for the operational interpretation of fermionic mode entanglement and examine the usefulness of so-called mixed maximally entangled states for teleportation.
Quantum拓扑,一种量子力学中存在的奇特结构,为量子计算提供了独特的优势。本研究提出了一种基于量子拓扑的自适应量子计算量子路径优化方法,旨在利用拓扑结构优化量子路径,从而提高计算效率。该方法借鉴了量子拓扑的特性,通过构建拓扑结构来指导量子路径的优化,从而实现更高效的量子计算。该方法具有自动学习能力,并能够针对不同问题优化量子路径,为量子计算的发展提供新的思路。