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Maximal speed of quantum propagation. (English) Zbl 1475.35301

The authors give a gentle introduction to the work that has been done in recently published papers regarding maximal propagation speed bound. The most concern of the paper is to show in a simple and mathematical way how to define and proove the general values of constants that would work, especially for Kato’s potentials. However, the paper shows extraordinary mathematical precision in the use of concepts and proofs. An observation of mine would be that this paper gives even a practical guide on how to look for MPS bounds and how to theoretically use them in quantum information theory as a general consequence.

MSC:

35Q41 Time-dependent Schrödinger equations and Dirac equations
35Q40 PDEs in connection with quantum mechanics
35Q70 PDEs in connection with mechanics of particles and systems of particles
35P25 Scattering theory for PDEs
81U10 \(n\)-body potential quantum scattering theory
81U99 Quantum scattering theory
81P45 Quantum information, communication, networks (quantum-theoretic aspects)
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References:

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