Local approximation of observables and commutator bounds

Abstract

We discuss conditional expectations that can be used as generalizations of the partial trace for quantum systems with an infinite-dimensional Hilbert space of states.

References in corpus (3)

• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• Propagation of Correlations in Quantum Lattice Systems
• On conditional expectations of finite index

Cited by in corpus (5)

• Quasi-Locality Bounds for Quantum Lattice Systems. Part I. Lieb-Robinson Bounds, Quasi-Local Maps, and Spectral Flow Automorphisms
• The BCS functional of superconductivity and its mathematical properties
• Locality Bound for Dissipative Quantum Transport
• Thermalization in Kitaev's quantum double models via Tensor Network techniques
• A Lieb-Robinson bound for quantum spin chains with strong on-site impurities