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arXiv · 2409.01473

On Propagation of Information in Quantum Mechanics and Maximal Velocity Bounds

Israel Michael Sigal·Xiaoxu Wu
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Abstract

We revisit key notions related to the evolution of quantum information in few-body quantum mechanics (fbQM) and, for a wide class of dispersion relations, prove uniform bounds on the maximal speed of propagation of quantum information for states and observables with exponential error bounds. Our results imply, in particular, a fbQM version of the Lieb-Robinson bound, which is known to have wide applications in quantum information sciences. We propose a novel approach to proving maximal speed bounds.

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Israel Michael Sigal, Xiaoxu Wu. 2024-09-02. On Propagation of Information in Quantum Mechanics and Maximal Velocity Bounds. https://arxiv.org/abs/2409.01473

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