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Trapped Ion Quantum Computing

Weak-Memory Dynamics in Discrete Time

arXiv
Authors: Hugues Meyer, Kay Brandner

Year

2025

Paper ID

17866

Status

Preprint

Abstract Read

~2 min

Abstract Words

106

Citations

N/A

Abstract

Discrete dynamics arise naturally in systems with broken temporal translation symmetry and are typically described by first-order recurrence relations representing classical or quantum Markov chains. When memory effects induced by hidden degrees of freedom are relevant, however, higher-order discrete evolution equations are generally required. Focusing on linear dynamics, we identify a well-delineated weak-memory regime where such equations can, on an intermediate time scale, be systematically reduced to a unique first-order counterpart acting on the same state space. We formulate our results as a mathematical theorem and work out two examples showing how they can be applied to stochastic Floquet dynamics under coarse-grained and quantum collisional models.

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  • Discrete dynamics arise naturally in systems with broken temporal translation symmetry and are typically described by first-order recurrence relations representing classical or...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2510.26325 [2] arXiv https://arxiv.org/abs/2510.26325 [3] Publisher https://arxiv.org/abs/2510.26325

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