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arXiv:2201.08075 · The European Physical Journal Plus

Revisiting entanglement-induced exclusion

Pedro Sancho

Published Jan 1, 2022• 1 citation
arXivHTMLPDF
DOI
10.1140/epjp/s13360-021-02332-9

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When playing the boolean game (δ,f), two players, upon reception of respective inputs x and y, must respectively output a and b satisfying δ(a, b)=f(x, y), in absence of any communication. It is known that, for δ(a, b)=a ⊕ b, the ability for the players to use entangled quantum bits (qbits) helps. In this paper, we show that, for δ different from the exclusive-or operator, quantum correlations do not help. This result is an invitation to revisit the theory of distributed checking, a.k.a. distributed verification, currently sticked to the usage of decision functions δ based on the AND-operator, hence potentially preventing us from using the potential benefit of quantum effects.
[This is a draaft for comments. The notation is non-standard, but deliberate, to provoke close reading. Komments and korrektions are welcome.] Advanced quantum field theory is not entirely necessary in order to explain the Pauli Exclusion Principle, and hence spin--statistics. What is essential is entanglement structure, in the form of isotropic spin correlation. Reviewing a paper by O'Hara we summarize the result and point out the residual ``mystery'' of spin--statistics, and propose a natural explanation for the phenomenon using the framework of topological 4-geon theory (a gravitational theory of quantum mechanics). We revisit two persistent interpretive problems in quantum theory: (i) the origin of fermionic exchange symmetry, as expressed in the spin--statistics connection and the Pauli exclusion principle, and (ii) the status of so-called ``virtual particles'' associated with internal lines of Feynman diagrams.