2014/01/06 by Wonmin Son
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Axiom #Causality (physics) #Limit (mathematics) #Locality #Mathematical analysis #Mathematics #Open quantum system #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum correlation #Quantum entanglement #Quantum mechanics #Quantum nonlocality #Realization (probability) #Theoretical physics #Theory of relativity #quant-ph
paper · pdf · doi:10.3938/jkps.64.499
published as Journal of the Korean Physical Society February 2014, Volume 64, Issue 4, pp 499-503 · 3 figures
arxiv created 2014/01/06 · openalex publication_date 2014/02/01 · arxiv updated 2014/07/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
According to the theory of relativity and causality, a special type of correlation beyond quantum mechanics is possible in principle under the name of a non-local box . The concept has been introduced from the principle of non-locality, which satisfies relativistic causality. In this paper, we show that a correlation leading to the non-local box can be derived consistently if we release one of major axioms in quantum mechanics, Born’s rule . This allows us to obtain a theory that in one end of the spectrum agrees with the classical probability and in the other end agrees with the theory of non-local causality. At the same time, we argue that the correlation lies in a space with special mathematical constraints such that a physical realization of the correlation through a probability measure is not possible in one direction of its limit, but is possible in the other limit.