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Quantum Software Tools Programming

The Double Covariance Model: A Stochastic Reconstruction of Quantum Entangled States via Interplay of Micro-Macro Time Scales

arXiv
Authors: Andrei Khrennikov

Year

2026

Paper ID

3443

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

This article presents a concrete mathematical framework for the generation of entangled quantum states from classical stochastic processes. We demonstrate that any density operator ρAB of a composite system can be derived from the correlations between two underlying stochastic processes, X(t) and Y(t), representing the random fluctuations of its subsystems. This construction utilizes a two-scale temporal scheme - micro and macro time - where quantum correlations emerge as macro-correlations derived from underlying micro-correlations. We propose the Double Covariance Model (DCM), which reproduces the fundamental properties of quantum theory by treating the quantum state as the fourth-order moment structure of an underlying classical probability space.

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  • This paper contributes to the Quantum Software Tools & Programming research area in the Quantum Articles archive.
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  • This article presents a concrete mathematical framework for the generation of entangled quantum states from classical stochastic processes.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.17070 [2] arXiv https://arxiv.org/abs/2601.17070 [3] Publisher https://arxiv.org/abs/2601.17070

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