Hypercontractivity for semigroups of unital qubit channels
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Publication:2452201
DOI10.1007/s00220-014-1982-4zbMath1290.81014arXiv1210.8412OpenAlexW2030239719MaRDI QIDQ2452201
Publication date: 30 May 2014
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1210.8412
One-parameter semigroups and linear evolution equations (47D06) Channel models (including quantum) in information and communication theory (94A40) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)
Related Items (14)
Quantum reverse hypercontractivity ⋮ Nonlocal Games with Noisy Maximally Entangled States are Decidable ⋮ Quantum reverse hypercontractivity: its tensorization and application to strong converses ⋮ Interpolation between modified logarithmic Sobolev and Poincaré inequalities for quantum Markovian dynamics ⋮ Average-case speedup for product formulas ⋮ 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 ⋮ Impossibility of local state transformation via hypercontractivity ⋮ Hypercontractivity in finite-dimensional matrix algebras ⋮ Non-commutative Nash inequalities ⋮ Entropy production of doubly stochastic quantum channels ⋮ Potential output purity of completely positive maps ⋮ Stability of local quantum dissipative systems ⋮ Improved quantum hypercontractivity inequality for the qubit depolarizing channel
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