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Quantum correlations with no causal order

2011/05/31 by Ognyan Oreshkov, Fabio Costa, Časlav Brukner +1 · 13 citations
Computer Science · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Biology #Business #Computational biology #Computer science #Order (exchange) #Quantum Information and Cryptography #Quantum Mechanics and Applications #gr-qc #quant-ph

paper · pdf · doi:10.1038/ncomms2076

published as Nature Communications 3, 1092 (2012) · 13 pages, 5 figures

openalex publication_date 2012/10/01 · arxiv created 2013/02/14 · arxiv updated 2013/02/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

The idea that events obey a definite causal order is deeply rooted in our understanding of the world and at the basis of the very notion of time. But where does causal order come from, and is it a necessary property of nature? Here, we address these questions from the standpoint of quantum mechanics in a new framework for multipartite correlations that does not assume a pre-defined global causal structure but only the validity of quantum mechanics locally. All known situations that respect causal order, including space-like and time-like separated experiments, are captured by this framework in a unified way. Surprisingly, we find correlations that cannot be understood in terms of definite causal order. These correlations violate a 'causal inequality' that is satisfied by all space-like and time-like correlations. We further show that in a classical limit causal order always arises, which suggests that space-time may emerge from a more fundamental structure in a quantum-to-classical transition. Causal order is a concept that is engrained in the standard understanding of time, both in classical and quantum mechanics. Oreshkovet al.generalize the standard formalism of quantum theory to a framework with no pre-existing causal order, and find a new class of correlations that have no analogue in the classical world.

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