2016/04/13 by Marcin Nowakowski, Nowakowski, Marcin · 1 citation
Computer Science · Medicine · Physics and Astronomy · #Biofield Effects and Biophysics #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1604.03976
6 pages, 2 figures
arxiv created 2016/04/13 · openalex publication_date 2016/04/13 · arxiv updated 2016/04/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we state a fundamental question about the structure of correlations in time and analyze temporal monogamy relations. We show that the nature of temporal correlations is inherently different from the spatial ones but in similarity to quantum spatial correlations, we expose a phenomenon of monogamy of quantum entanglement in time. We perform this task applying the entangled histories framework as a modifcation of the consistent histories approach. These considerations are supported by introduction of necessary tools specific for the tensor algebra used for representation of spatial correlations. We show that Tsirelson bound on temporal Bell-like inequalities can be derived from the entangled histories approach. Finally, we point out that in a context of the tensor algebra used for linking states in different times further studies on mathematical structure of the state representing evolving systems are needed.