Two Forms of Inconsistency in Quantum Foundations

AbstractWe present a quantum mechanical (QM) analysis of Bell’s approach to quantum foundations based on his hidden-variable model. We claim and try to justify that the Bell model contradicts to the Heinsenberg’s uncertainty and Bohr’s complementarity principles. The aim of this note is to point to the physical seed of the aforementioned principles. This is the Bohr’s quantum postulate: the existence of indivisible quantum of action given by the Planck constant h. By contradicting these basic principles of QM, Bell’s model implies rejection of this postulate as well. Thus, this hidden-variable model contradicts not only the QM-formalism, but also the fundamental feature of the quantum world discovered by Planck.

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Experimental test of the Greenberger–Horne–Zeilinger-type paradoxes in and beyond graph states

npj Quantum Information ◽

10.1038/s41534-021-00397-z ◽

2021 ◽

Vol 7 (1) ◽

Author(s):

Zheng-Hao Liu ◽

Jie Zhou ◽

Hui-Xian Meng ◽

Mu Yang ◽

Qiang Li ◽

...

Keyword(s):

Quantum Mechanics ◽

Quantum Theory ◽

Success Probability ◽

Quantum Foundations ◽

Mixed States ◽

Graph States ◽

Hardy Type ◽

Realistic Description ◽

Entanglement Detection ◽

Quantum Paradoxes

AbstractThe Greenberger–Horne–Zeilinger (GHZ) paradox is an exquisite no-go theorem that shows the sharp contradiction between classical theory and quantum mechanics by ruling out any local realistic description of quantum theory. The investigation of GHZ-type paradoxes has been carried out in a variety of systems and led to fruitful discoveries. However, its range of applicability still remains unknown and a unified construction is yet to be discovered. In this work, we present a unified construction of GHZ-type paradoxes for graph states, and show that the existence of GHZ-type paradox is not limited to graph states. The results have important applications in quantum state verification for graph states, entanglement detection, and construction of GHZ-type steering paradox for mixed states. We perform a photonic experiment to test the GHZ-type paradoxes via measuring the success probability of their corresponding perfect Hardy-type paradoxes, and demonstrate the proposed applications. Our work deepens the comprehension of quantum paradoxes in quantum foundations, and may have applications in a broad spectrum of quantum information tasks.

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