Quantum reverse hypercontractivity
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Publication:3450544
DOI10.1063/1.4933219zbMath1325.81047arXiv1504.06143OpenAlexW2151146934WikidataQ59451006 ScholiaQ59451006MaRDI QIDQ3450544
Ashley Montanaro, Kristan Temme, Michael J. Kastoryano, Toby S. Cubitt
Publication date: 6 November 2015
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1504.06143
Quantum computation (81P68) Channel models (including quantum) in information and communication theory (94A40)
Related Items (8)
Nonlocal Games with Noisy Maximally Entangled States are Decidable ⋮ Quantum reverse hypercontractivity: its tensorization and application to strong converses ⋮ Exponential decay of matrix Φ-entropies on Markov semigroups with applications to dynamical evolutions of quantum ensembles ⋮ Matrix Poincaré, Φ-Sobolev inequalities, and quantum ensembles ⋮ Fisher information and logarithmic Sobolev inequality for matrix-valued functions ⋮ Concentration of quantum states from quantum functional and transportation cost inequalities ⋮ Hypercontractivity and the logarithmic Sobolev inequality for the completely bounded norm ⋮ Improved quantum hypercontractivity inequality for the qubit depolarizing channel
Cites Work
- Unnamed Item
- Impossibility of local state transformation via hypercontractivity
- Hardy-Littlewood theory for semigroups
- Positivity improving operators and hypercontractivity
- Inequalities in Fourier analysis
- Spreading of sets in product spaces and hypercontraction of the Markov operator
- Hypercontractivity and logarithmic Sobolev inequalities for the Clifford- Dirichlet form
- Hypercontractivity in noncommutative \(L_1\) spaces
- Optimal hypercontractivity for Fermi fields and related non-commutative integration inequalities
- Free hypercontractivity
- A quantitative Arrow theorem
- On reverse hypercontractivity
- Hypercontractivity for semigroups of unital qubit channels
- Non-interactive correlation distillation, inhomogeneous Markov chains, and the reverse Bonami-Beckner inequality
- Étude des coefficients de Fourier des fonctions de \(L^ p(G)\)
- Some applications of hypercontractive inequalities in quantum information theory
- Relating different quantum generalizations of the conditional Rényi entropy
- JENSEN'S OPERATOR INEQUALITY
- The $\chi ^2$χ2-divergence and mixing times of quantum Markov processes
- Coin flipping from a cosmic source: On error correction of truly random bits
- Quantum logarithmic Sobolev inequalities and rapid mixing
- An introduction to the theory of large deviations
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