Matrix product unitaries: structure, symmetries, and topological invariants

DOI10.1088/1742-5468/aa7e55zbMath1457.82023arXiv1703.09188OpenAlexW2604947823WikidataQ59458532 ScholiaQ59458532MaRDI QIDQ3303151

David Pérez-García, Frank Verstraete, J. Ignacio Cirac, Norbert Schuch

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.09188

Mathematics Subject Classification ID

Quantum equilibrium statistical mechanics (general) (82B10)

Related Items (11)

Integrable spin chains and the Clifford group ⋮ Entropy of quantum Markov states on Cayley trees ⋮ A many-body index for quantum charge transport ⋮ An overview of quantum cellular automata ⋮ Quantum Markov chains: A unification approach ⋮ Symmetries of the Dirac quantum walk and emergence of the de Sitter group ⋮ Rational indices for quantum ground state sectors ⋮ Refinement of quantum Markov states on trees ⋮ Mathematical open problems in projected entangled pair states ⋮ A converse to Lieb-Robinson bounds in one dimension using index theory ⋮ Fermionic quantum cellular automata and generalized matrix-product unitaries

Cites Work

• Index theory of one dimensional quantum walks and cellular automata
• The existence of a slice
• Matrix product density operators: Renormalization fixed points and boundary theories
• Anyons and matrix product operator algebras
• On the nilpotency of nil-algebras
• TRACE IDENTITIES OF FULL MATRIX ALGEBRAS OVER A FIELD OF CHARACTERISTIC ZERO
• An area law for one-dimensional quantum systems
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