Comment on “Peres experiment using photons: No test for hypercomplex (quaternionic) quantum theories”
نویسندگان
چکیده
منابع مشابه
Quaternionic Independent Component Analysis using hypercomplex nonlinearities
We propose a quaternionic version of the Infomax algorithm to perform ICA on quaternion valued data. We introduce the three possible types of nonlinearities that can be used as activation functions and derive their differentiability properties. It is shown that only hypercomplex (fully quaternionic) nonlinearity can lead to the estimation of all possible classes of proper quaternion random vari...
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If M is a quaternionic manifold and P is an S 1-instanton over M , then Joyce constructed a hypercomplex manifold we call P (M) over M. These hypercomplex manifolds admit a U(2)-action of a special type permuting the complex structures. We show that up to double covers, all such hypercomplex manifolds arise in this way. Examples, including that of a hypercomplex structure on SU(3), show the nec...
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Elaborating on a previous work by Simon et al. (Phys. Rev. Lett. 85, 1783 (2000)) we propose a realizable quantum optical single-photon experiment using standard present day technology, capable of discriminating maximally between the predictions of quantum mechanics (QM) and noncontextual hidden variable theories (NCHV). Quantum mechanics predicts a gross violation (up to a factor of 2) of the ...
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The fundamental axioms of the quantum theory do not explicitly identify the algebraic structure of the linear space for which orthogonal subspaces correspond to the propositions (equivalence classes of physical questions). The projective geometry of the weakly modular orthocomplemented lattice of propositions may be imbedded in a complex Hilbert space; this is the structure which has traditiona...
متن کاملComment on “ No quantum friction between uniformly moving plates ”
All bodies are surrounded by a fluctuating electromagnetic field due to thermal and quantum fluctuations of the current density inside the bodies. This fluctuating field is responsible for many important phenomena such as the radiative heat transfer, the van der Waals interaction and the van der Waals friction between bodies. In contrast to the van der Waals interaction, for which theory is wel...
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ژورنال
عنوان ژورنال: Physical Review A
سال: 2017
ISSN: 2469-9926,2469-9934
DOI: 10.1103/physreva.96.036101