State-Independent Proofs of Bell's Theorem Without Inequalities and Bell Inequality for Four-Qubit System |
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Authors: | CHEN Chang-Yong GAO Ke-Lin |
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Institution: | 1. Department of Physics and Electronic Information and Engineering, Hunan Institute of Humanities and Science and Technology, Loudi 417000, China
;2. State Key Laboratory of Magnetic Resonance and Atomic and
Molecular Physics, Wuhan Institute of Physics and Mathematics, the Chinese
Academy of Sciences, Wuhan 430071, China |
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Abstract: | A state-dependent proof of Bell's theorem without inequalities
using the product state of any two maximally entangled states
(Bell states) of two qubits for two observers in an ideal condition,
each of which possesses two qubits, is proposed. It is different
from the other proofs in which there exists a fundamental requirement
that certain specific suitable Bell states have been chosen.
Moreover, in any non-ideal situation, a common Bell inequality
independent of the choices of the 16-product states is derived,
which is used to test the contradiction between quantum mechanics
and local reality theory in the reach of current experimental technology. |
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Keywords: | Bell's theorem without inequalities maximally entangled state EPR pair |
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