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Analysis of the logical foundations of quantum mechanics indicates the possibility of constructing a theory using quaternionic Hilbert spaces. Whether this mathematical structure reflects reality is a matter for experiment to decide. We…

量子物理 · 物理学 2015-06-26 S. P. Brumby , G. C. Joshi

Quantum coherence is one of the key features that fuels applications for which quantum mechanics exceeds the power of classical physics. This explains the considerable efforts that were undertaken to quantify coherence via quantum resource…

量子物理 · 物理学 2021-05-19 Michele Masini , Thomas Theurer , Martin B. Plenio

Objections to pilot-wave theory frequently come in three mutually-contradictory categories: that the theory is too bizarrely different from ordinary physics, that the theory is not radically different enough, and that the physics of…

量子物理 · 物理学 2026-04-14 Antony Valentini

Einstein is considered by many as the father of quantum physics in some sense. Yet there is an unshakable view that he was wrong on quantum physics. Although it may be a subject of considerable debate, the core of his allegedly wrong…

综合物理 · 物理学 2021-02-02 Mani Bhaumik

Testing convergence of infinite series is an important part of mathematics. A very basic test of convergence is to upper-bound a given series with a known series, term by term. In $19^{th}$ century, Kummer proposed a test of convergence for…

历史与综述 · 数学 2018-02-05 Frantisek Duris

Topos theory has been suggested by D\"oring and Isham as an alternative mathematical structure with which to formulate physical theories. In particular, the topos approach suggests a radical new way of thinking about what a theory of…

数学物理 · 物理学 2011-06-30 Cecilia Flori

The widely accepted basis for quantum computing advantage is derived from the entanglement and superposition properties of the probabilistic interpretation of the underlying quantum mechanical formalism which in turn is widely accepted…

综合物理 · 物理学 2022-08-30 Stuart Mirell , Daniel Mirell

In Brukner and Zeilinger's interpretation of quantum mechanics, information is introduced as the most fundamental notion and the finiteness of information is considered as an essential feature of quantum systems. They also define a new…

量子物理 · 物理学 2016-09-08 Afshin Shafiee , Feryal Safinejad , Farnoush Naqsh

A major disagreement between different views about the foundations of quantum mechanics concerns whether for a theory to be intelligible as a fundamental physical theory it must involve a "primitive ontology" (PO), i.e., variables…

量子物理 · 物理学 2014-05-19 Valia Allori , Sheldon Goldstein , Roderich Tumulka , Nino Zanghi

A succinct statement and justification of all the principles necessary to understand and evaluate interpretations of quantum mechanics is given. These principles provide strong constraints on interpretations. They imply the particle-like…

综合物理 · 物理学 2015-05-14 Casey Blood

A general theory based upon 7 postulates is introduced. The basical notions are theoretical variables that are associated with an observer or with a group of communicating observers. These variables may be accessible or inaccessible. From…

量子物理 · 物理学 2025-02-12 Inge S. Helland

This article is devoted to the study of which appears as the most famous paradoxes of quantum theory (Schrodinger cat, EPR argument and Aspect experiments, delayed choice experiments and retrocausality problems). Through these experiments,…

量子物理 · 物理学 2019-06-26 Daniel Parrochia

In contrast with software-generated randomness (called pseudo-randomness), quantum randomness is provable incomputable, i.e.\ it is not exactly reproducible by any algorithm. We provide experimental evidence of incomputability --- an…

量子物理 · 物理学 2010-08-09 Cristian S. Calude , Michael J. Dinneen , Monica Dumitrescu , Karl Svozil

The Heisenberg uncertainty principle is one of the fundamental pillars of quantum mechanics and quantum field theory. It is normally introduced by postulating the commutation relations $[\hat{x}^i, \hat{p}^j] = i\hbar \delta^{ij}$. However,…

高能物理 - 唯象学 · 物理学 2026-01-29 Ezequiel Valero , Hector Gisbert , Victor Ilisie

The causal interpretation of quantum mechanics, as originally stated by deBroglie and Bohm, had several attractive features. Among these is the possibility that it could address some of the most fundamental questions on quantum phenomena.…

量子物理 · 物理学 2007-05-23 R. H. Parmenter , Andrew L. DiRienzo

Niels Bohr wrote: "There is no quantum world. There is only an abstract quantum physical description. It is wrong to think that the task of physics is to find out how Nature is. Physics concerns what we can say about Nature." In an…

量子物理 · 物理学 2007-05-23 Caslav Brukner , Anton Zeilinger

The issues, raised in arXiv:0809.011, concerning the relevance of the von Neumann theorem for the single-system's quantumness test proposed in arXiv:0704.1962 and performed for the case of single photon polarization in arXiv:0804.1646, and…

量子物理 · 物理学 2009-11-13 Robert Alicki

Quantum complementarity is a fundamental feature of quantum systems and has captivated the physics research community for nearly a century, with significant advancements emerging in recent decades. This review traces the historical…

量子物理 · 物理学 2026-05-27 Diego S. Starke , Jonas Maziero , Marcos L. W. Basso , Tabish Qureshi

In a recent result, Frauchiger and Renner argue that if quantum theory accurately describes complex systems like observers who perform measurements, then "we are forced to give up the view that there is one single reality." Following a…

量子物理 · 物理学 2018-04-11 Jeffrey Bub

For a two-particle two-state system, sets of compatible propositions exist for which quantum mechanics and noncontextual hidden-variable theories make conflicting predictions for every individual system whatever its quantum state. This…

量子物理 · 物理学 2009-01-23 Adan Cabello , Guillermo Garcia-Alcaine