We discuss the locality problem in relativistic and nonrelativistic quantum theory. We show that there exists a formulation of quantum theory that, on one hand, preserves the mathematical apparatus of the standard quantum mechanics and, on the other hand, ensures the satisfaction of the locality condition for each individual event including the measurement procedure. As an example, we consider the scattering from two slits.
In this paper we make an extensive description of quantum non-locality, one of the most intriguing and fascinating facets of quantum mechanics. After a general presentation of several studies on this subject, we consider if quantum non-locality, and the friction it carries with special relativity, can eventually find a "solution" by considering higher dimensional spaces.
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）
Quantum non-locality is normally defined via violations of Bell's inequalities that exclude certain classical hidden variable theories from explaining quantum correlations. Another definition of non-locality refers to the wave-function collapse thereby one can prepare a quantum state from arbitrary far away. In both cases one can debate on whether non-locality is a real physical phenomenon, e.g. one can employ formulations of quantum mechanics that does not use collapse, or one can simply refrain from explaining quantum correlations via classical hidden variables. Here we point out that there …
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）
By constructing the quantum state in high-dimensional probability tensor, we find the quantum magic square(QMS) may stand as an ideal means of characterizing the non-local phenomena, i.e. the separability, entanglement, two/one-way steering, and Bell non-locality, etc. In this scheme, different types of non-locality exhibit distinctive inner structures of the probability tensor, which are observable in form of the partial sum of the tensor components. In application, we prove the Bell and GHZ theorems, and demonstrate that the uncertainty relation may rate the non-locality, from Bell locality …
Non-locality consists in the existence of non-classical correlations between local measurements. So far, it has been investigated mostly in isolated quantum systems. Here we show that non-local correlations are present, can be detected and might be robust against noise also in many-body open quantum systems, both in the steady-state and in the transient regime. We further discuss the robustness of non-local correlations when the open quantum system undergoes repeated measurements, a relevant scenario for quantum cryptography.
Non-locality and steering are both non-classical phenomena witnessed in Nature as a result of quantum entanglement. It is now well-established that one can study non-locality independently of the formalism of quantum mechanics, in the so-called device-independent framework. With regards to steering, although one cannot study it completely independently of the quantum formalism, "post-quantum steering" has been described, which is steering that cannot be reproduced by measurements on entangled states, but do not lead to superluminal signalling. In this work we present a framework based on the s…
The emergence of the generalized uncertainty principle and the existence of a non-zero minimal length are intertwined. On the other hand, the Heisenberg uncertainty principle forms the core of the EPR paradox. Subsequently, here, the implications of resorting to the generalized uncertainty principle (or equally, the minimal length) instead of the Heisenberg uncertainty principle on the quantum non-locality are investigated through focusing on the Franson experiment in which the uncertainty relation is the backbone of understanding and explaining the results.
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）
A qualitative but formalized representation of microstates is first established quite independently of the quantum mechanical mathematical formalism, exclusively under epistemological-operational-methodological constraints. Then, using this representation as a reference-and-imbedding-structure, the foundations of an intelligible reconstruction of the Hilbert-Dirac formulation of Quantum Mechanics is developed. Inside this reconstruction the measurement problem as well as the other major problems raised by the quantum mechanical formalism, dissolve.
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）
It is often supposed that a quantum system is not disturbed without state change. In a recent debate, this assumption is used to claim that the operator-based disturbance measure, a broadly used disturbance measure, has an unphysical property. Here, we show that a quantum system possibly incurs an operationally detectable disturbance without state change to rebut the claim. Moreover, we establish the reliability, formulated as soundness and locality, of the operator-based disturbance measure, which, we show, quantifies the disturbance on an observable that manifests in the time-like correlatio…
Quantum interference and non-locality of independent photons from disparate sources
我们定量地研究了一类全新的混合不同量子和半量子光子源在量子经典边界的非经典性和非定域性。后者包括最近由Zavatta等人[Phys. Rev. Lett. 103，140406（2009）]。在我们的研究中，关键的量是相应的光子-光子关联函数的可见性。我们提出了明确的结果违反柯西-施瓦茨不等式-这是一个措施的非经典性-以及贝尔型不等式。
We study the role of entanglement and non-locality in quantum protocols that make use of systems of identical particles. Unlike in the case of distinguishable particles, the notions of entanglement and non-locality for systems whose constituents cannot be distinguished and singly addressed are still debated. We clarify why the only approach that avoids incongruities and paradoxes is the one based on the second quantization formalism whereby it is the entanglement of the modes that can be populated by the particles what really matters and not the particles themselves. Indeed, by means of a metr…
Quantum cognition is an emerging field making uses of quantum theory to model cognitive phenomena which cannot be explained by classical theories. Usually, in cognitive tests, subjects are asked to give a response to a question, but in this paper, we just observed the subjects' behaviour and the question and answer method was not applied in order to prevent any mental background on participants' minds. Finally, we examined the experimental data on Hardy's non-locality argument (HNA), and we noticed the violation of HNA in human behaviour.
