Field Extension of Real Values of Physical Observables in Classical Theory can Help Attain Quantum Results |
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Authors: | Hai Wang Asutosh Kumar Minhyung Cho Junde Wu |
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Institution: | 1.School of Mathematics Sciences,Zhejiang University,Hangzhou,People’s Republic of China;2.Harish-Chandra Research Institute, HBNI,Allahabad,India;3.P. G. Department of Physics,Gaya College, Magadh University,Gaya,India;4.Department of Applied Mathematics,Kumoh National Institute of Technology,Kyungbuk,Korea |
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Abstract: | Physical quantities are assumed to take real values, which stems from the fact that an usual measuring instrument that measures a physical observable always yields a real number. Here we consider the question of what would happen if physical observables are allowed to assume complex values. In this paper, we show that by allowing observables in the Bell inequality to take complex values, a classical physical theory can actually get the same upper bound of the Bell expression as quantum theory. Also, by extending the real field to the quaternionic field, we can puzzle out the GHZ problem using local hidden variable model. Furthermore, we try to build a new type of hidden-variable theory of a single qubit based on the result. |
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