Rapid mixing implies exponential decay of correlations

DOI10.1063/1.4822481zbMath1288.82013arXiv1303.6304OpenAlexW3103313413WikidataQ57637220 ScholiaQ57637220MaRDI QIDQ5410906

Jens Eisert, Michael J. Kastoryano

Publication date: 17 April 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.6304

zbMATH Keywords

quantum information theorycorrelation propertiesLog-Sobolev constant

Mathematics Subject Classification ID

Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Coding theorems (Shannon theory) (94A24) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Open systems, reduced dynamics, master equations, decoherence (81S22)

Related Items (14)

Area law for fixed points of rapidly mixing dissipative quantum systems ⋮ Quantum Gibbs samplers: the commuting case ⋮ Classical Analog of Quantum Light Cones in 1D and 2D Dipole Systems ⋮ Emergence of spontaneous symmetry breaking in dissipative lattice systems ⋮ Universally optimal noisy quantum walks on complex networks ⋮ Macroscopic length correlations in non-equilibrium systems and their possible realizations ⋮ Lower bounds to the spectral gap of Davies generators ⋮ Hypercontractivity in finite-dimensional matrix algebras ⋮ Non-commutative Nash inequalities ⋮ Stability estimates of Markov semigroups on abstract states spaces ⋮ Logarithmic Sobolev inequalities in non-commutative algebras ⋮ Hypercontractivity and logarithmic Sobolev inequality for non-primitive quantum Markov semigroups and estimation of decoherence rates ⋮ Lieb–Robinson bounds for open quantum systems with long-ranged interactions ⋮ Random Lindblad dynamics

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