This version adds a response to Griffiths' reply to my original. It notes that Griffiths confirms the validity of my argument if one uses the framework that I use. Griffiths' objection that other frameworks exist is not germaine, because I use the unique one that satisfies the explicitly stated conditions that the choices be macroscopic choices of experiments and outcomes in a specified order
Robert Griffiths has recently addressed, within the framework of a 'consistent quantum theory' that he has developed, the issue of whether, as is often claimed, quantum mechanics entails a need for faster-than-light transfers of information over long distances. He argues that the putative proofs of this property that involve hidden variables include in their premises some essentially classical-physics-type assumptions that are fundamentally incompatible with the precepts of quantum physics. One cannot logically prove properties of a system by establishing, instead, properties of a system modified by adding properties alien to the original system. Hence Griffiths' rejection of hidden-variable-based proofs is logically warranted. Griffiths mentions the existence of a certain alternative proof that does not involve hidden variables, and that uses only macroscopically described observable properties. He notes that he had examined in his book proofs of this general kind, and concluded that they provide no evidence for nonlocal influences. But he did not examine the particular proof that he cites. An examination of that particular proof by the method specified by his 'consistent quantum theory' shows that the cited proof is valid within that restrictive version of quantum theory. An added section responds to Griffiths' reply, which cites general possibilities of ambiguities that make what is to be proved ill-defined, and hence render the pertinent 'consistent framework' ill defined. But the vagaries that he cites do not upset the proof in question, which, both by its physical formulation and by explicit identification, specify the framework to be used. Griffiths confirms the validity of the proof insofar as that framework is used. The section also shows, in response to Griffiths' challenge, why a putative proof of locality that he has described is flawed.
Reply to Comment [axXiv:1610.07734] by L. Vaidman on "Particle path through a nested Mach-Zehnder interferometer" [R. B. Griffiths, Phys. Rev. A 94 (2016) 032115]
Comment on QBism and locality in quantum mechanics
对C.A.文章的评论Fuchs,N.D. Mermin,and R.Schack,“An introduction to QBism with and application to the locality of量子力学学“,appeared in Am. J.Phys.82(8),749-754(2014)
Circuit locality from relativistic locality in scalar field mediated entanglement
Institute for Quantum Optics and Quantum Information (IQOQI) Vienna, Austrian Academy of Sciences(维也纳量子光学与量子信息研究所);Basic Research Community for Physics e.V.(基础物理社区协会);Physics Department, Royal Holloway, University of London(伦敦大学皇家霍洛威学院物理系);Quantum Group, Department of Computer Science, University of Oxford(牛津大学计算机科学系量子组);Vienna Center for Quantum Science and Technology (VCQ), Faculty of Physics, University of Vienna(维也纳大学物理学院量子科学与技术中心);Research Platform TURIS, University of Vienna(维也纳大学TURIS研究平台);Aix-Marseille University, Université de Toulon, CPT-CNRS(艾克斯-马赛大学,土伦大学,CPT-CNRS);Department of Philosophy and the Rotman Institute of Philosophy, Western University(韦仕敦大学哲学系及罗特曼哲学研究所);Perimeter Institute(珀尔默特研究所)
A channel-based framework for steering, non-locality and beyond
非定域性和转向都是自然界中由量子纠缠引起的非经典现象。现在人们可以在所谓的设备无关的框架中独立于量子力学的形式来研究非定域性,这一点已经得到了很好的证实。关于转向,虽然人们不能完全独立于量子形式主义来研究它,但已经描述了“后量子转向”,这是无法通过对纠缠态的测量来再现的转向,但不会导致超光速信号。在这项工作中,我们提出了一个框架的基础上研究的量子信道,其中可以研究转向(和非局域性)在量子理论和超越。在这个框架中,我们表明,各种转向,无论是量子还是后量子,都与Beckman,Gottesman,Nielsen和Preskill先前介绍的特定量子信道家族直接相关[Phys. Rev. A 64,052309(2001)]。利用这一联系,我们还展示了后量子操纵的新的分析实例,给出了几乎量子非定域性和操纵的量子信道解释,容易地恢复和推广了著名的Gisin-Hughston-Jozsa-Wootters定理,并启动了后量子Buscemi非定域性和非经典隐形传态的研究.通过这种方式,我们将后量子非定域性和转向看作是更普遍现象的两个方面。
Research Institute for Astronomy and Astrophysics of Maragha(马拉盖天文与天体物理研究所);Izmir Institute of Technology(伊兹密尔理工大学);Khazar University(哈扎尔大学);Dogus University(多乌斯大学)
Locality Implies Complex Numbers in Quantum Mechanics
QICI Quantum Information and Computation Initiative, Department of Computer Science, The University of Hong Kong(香港大学量子信息与计算倡议计算机系);Key Laboratory of Low-Dimension Quantum Structures and Quantum Control of Ministry of Education, Department of Physics, Hunan Normal University(湖南师范大学物理学院教育部低维量子结构与量子控制重点实验室);Clarendon Laboratory, University of Oxford(牛津大学克拉伦登实验室)