Geometry from quantum temporal correlations

• URL: http://arxiv.org/abs/2502.13293v1
• Date: Tue, 18 Feb 2025 21:24:03 GMT
• Title: Geometry from quantum temporal correlations
• Authors: James Fullwood, Vlatko Vedral,
• Abstract summary: We show how Euclidean 3-space emerges from the structure of quantum temporal correlations associated with sequential measurements of Pauli observables on a single qubit. Such results suggest the plausibility that space itself may emerge from quantum temporal correlations.
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• Abstract: In this work, we show how Euclidean 3-space uniquely emerges from the structure of quantum temporal correlations associated with sequential measurements of Pauli observables on a single qubit. Quite remarkably, the quantum temporal correlations which give rise to geometry are independent of the initial state of the qubit, which we show enables an observer to extract geometric data from sequential measurements without the observer having any knowledge of initial conditions. Such results suggest the plausibility that space itself may emerge from quantum temporal correlations, and we formulate a toy model of such a hypothetical phenomenon.

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