Hypercontractivity for a quantum Ornstein-Uhlenbeck semigroup
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Publication:2480812
DOI10.1007/s00440-007-0073-2zbMath1138.81405OpenAlexW2039073105MaRDI QIDQ2480812
Raffaella Carbone, Emanuela Sasso
Publication date: 3 April 2008
Published in: Probability Theory and Related Fields (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00440-007-0073-2
Groups and semigroups of linear operators (47D03) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Continuous-time Markov processes on discrete state spaces (60J27)
Related Items (10)
Linear and nonlinear dissipative dynamics ⋮ Quantum Talagrand, KKL and Friedgut's theorems and the learnability of quantum Boolean functions ⋮ Contractivity properties of a quantum diffusion semigroup ⋮ Geometric inequalities from phase space translations ⋮ Matrix Poincaré, Φ-Sobolev inequalities, and quantum ensembles ⋮ Concentration of quantum states from quantum functional and transportation cost inequalities ⋮ The one-mode quantum-limited Gaussian attenuator and amplifier have Gaussian maximizers ⋮ Non-commutative Nash inequalities ⋮ Equivalence between logarithmic Sobolev inequality and hypercontractivity in a probability gage space ⋮ Logarithmic Sobolev inequalities in non-commutative algebras
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