An Insight into Information, Entanglement and Time

Jincheng Zhang

This paper investigates the potential of utilizing quantum entanglement for enhancing time series prediction. Traditional time series forecasting methods often struggle with complex, non-linear patterns and high-dimensional data. We propose a novel approach that leverages the unique properties of quantum entanglement to encode time series information and extract predictive insights. Specifically, we map time series data onto entangled quantum states, allowing us to access correlations and patterns that may be missed by classical methods. The theoretical framework outlines the key principles, including the mapping process, the measurement strategy, and the expected improvement in predictive accuracy. We present a mathematical model incorporating entanglement entropy and its influence on the prediction process. The core claim is that this entanglement-based encoding significantly improves time series prediction. The research highlights a fundamentally different approach to time series analysis, moving beyond classical information processing to exploit the quantum mechanical phenomenon of entanglement.

L. Castell, Otfried Ischebeck

Davide Fiscaletti, Amrit Šorli

Anirban Roy Chowdhury, Souvik Paul, Sunandan Gangopadhyay

Abstract In this article, we have presented one of the very important observations, regarding the behavior of mutual information of two different sets of subsystems in the after Page time scenario. This provides us with some deep insights about the redistribution of geometrical correlation between the two different sets of subsystems on a Cauchy slice. In our earlier works, we have shown how the saturation of mutual information between two specific subsystems plays a vital role in obtaining the correct Page curve for the eternal black hole. In those works, we have shown that the mutual information between $$B_{+}$$ B + and $$B_{-}$$ B - , that is, $$I(B_{+}: B_{-})$$ I ( B + : B - ) , vanishes at scrambling time, which leads to the correct Page curve. That means that at scrambling time, there is no correlation between $$B_{+}$$ B + and $$B_{-}$$ B - . Remarkably, it is observed that at this particular value of observer’s time, the mutual information between $${\mathcal {I}}$$ I and R , that is, $$I({\mathcal {I}}:R)$$ I ( I : R ) , becomes singular. This indicates that the regions $${\mathcal {I}}$$ I and R become maximally entangled. This provides us with a notion of the transfer of geometric correlation between different regions on the Cauchy slice. In this work, we have also provided a way to calculate the tripartite mutual information of regions $${\mathcal {I}}$$ I , $$R_{+}$$ R + and $$R_{-}$$ R - , that is, $$I({\mathcal {I}}:R_{+}{:}R_{-})$$ I ( I : R + : R - ) on the Cauchy slice using the earlier results involving the bipartite regions. This is a new result which was missing in the earlier literature.

Morgan Berkane, Richard Taïeb, Gabriel Granveau +4 more

The authors investigate the possibility of reconstructing photoemission dynamics at the attosecond time scale when the outcome of the process is only partially characterized, i.e., when the measurement is hampered by a loss of coherence. Borrowing from both attosecond science and quantum information, they show that deciphering decoherence rather than considering it as a technical limitation can give access to detailed insight on attosecond time-resolved entanglement in photoemission.

Renata Jora