On Propagation of Information in Quantum Mechanics and Maximal Velocity Bounds

• URL: http://arxiv.org/abs/2409.01473v1
• Date: Mon, 2 Sep 2024 21:39:44 GMT
• Title: On Propagation of Information in Quantum Mechanics and Maximal Velocity Bounds
• Authors: Israel Michael Sigal, Xiaoxu Wu,
• Abstract summary: We prove uniform bounds on the maximal speed of propagation of quantum information for states and observables with exponential error bounds. Our results imply a quantum mechanical version of the Lieb-Robinson bound, which is known to yield various constraints on propagation of quantum information.
• Score: 1.3812010983144802
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We revisit key notions related to evolution of quantum information in quantum mechanics and 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 quantum mechanical version of the Lieb-Robinson bound, which is known to yield various constraints on propagation of quantum information. We propose a novel approach to proving maximal speed bounds.

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