# Lieb-Robinson bounds for commutator-bounded operators

**Authors:** Isabeau Pr\'emont-Schwarz, Alioscia Hamma, Israel Klich, Fotini, Markopoulou-Kalamara

arXiv: 0912.4544 · 2010-04-28

## TL;DR

This paper extends the Lieb-Robinson bounds to a broader class of quantum systems where the Hamiltonian consists of local operators with bounded commutators, providing new insights into the speed of information propagation.

## Contribution

The authors generalize the Lieb-Robinson theorem to include systems with Hamiltonians composed of local operators with bounded commutators, broadening its applicability.

## Key findings

- Established Lieb-Robinson bounds for commutator-bounded operators
- Demonstrated implications for quantum information propagation
- Extended theoretical framework for local quantum systems

## Abstract

We generalize the Lieb-Robinson theorem to systems whose Hamiltonian is the sum of local operators whose commutators are bounded.

## Full text

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## References

24 references — full list in the complete paper: https://tomesphere.com/paper/0912.4544/full.md

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Source: https://tomesphere.com/paper/0912.4544