A converse to Lieb-Robinson bounds in one dimension using index theory

DOI10.1007/s00023-022-01193-xOpenAlexW3109781486MaRDI QIDQ2085721

Yanyan Li

Publication date: 18 October 2022

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.00741

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46Lxx) Equilibrium statistical mechanics (82Bxx) Foundations, quantum information and its processing, quantum axioms, and philosophy (81Pxx)

Related Items (2)

Invertible subalgebras ⋮ Trotter product formulae for \(\ast\)-automorphisms of quantum lattice systems

Cites Work

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• Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints
• The Cuntz semigroup and stability of close \(C^*\)-algebras
• Perturbations of nuclear \(C^*\)-algebras
• Operator methods in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP) 2010, Bedlewo, Poland
• Index theory of one dimensional quantum walks and cellular automata
• Anyons in an exactly solved model and beyond
• Near inclusions of C*-algebras
• Perturbation of operator algebras
• Theory of operator algebras. III
• On Ulam stability
• Classification of quantum cellular automata
• Subalgebras of \(C^ *\)-algebras
• Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
• A quantum cellular automaton for one-dimensional QED
• Matrix product unitaries: structure, symmetries, and topological invariants
• Approximately Multiplicative Maps Between Banach Algebras
• Perturbations of Type I Von Neumann Algebras
• On an approximate automorphism on a $C^{*}$-algebra
• Continuity of quantum conditional information
• Clifford quantum cellular automata: Trivial group in 2D and Witt group in 3D
• Quasi-locality bounds for quantum lattice systems. I. Lieb-Robinson bounds, quasi-local maps, and spectral flow automorphisms
• Kosaki-Longo index and classification of charges in 2D quantum spin models
• Locality in Quantum Systems
• Positive Functions on C ∗ -Algebras
• Quantum Information Theory
• Scrambling and thermalization in a diffusive quantum many-body system

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