Convergence rates for quantum evolution and entropic continuity bounds in infinite dimensions

DOI10.1007/s00220-019-03594-2zbMath1460.81045arXiv1810.00863OpenAlexW3100470329WikidataQ126860087 ScholiaQ126860087MaRDI QIDQ2304961

Simon Becker, Nilanjana Datta

Publication date: 9 March 2020

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

Full work available at URL: https://arxiv.org/abs/1810.00863

zbMATH Keywords

convergence ratequantum systemenergy-constrained diamond normquantum speed limitsentropic continuity bounds

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57) Stochastic quantization (81S20) Open systems, reduced dynamics, master equations, decoherence (81S22)

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Advanced Alicki-Fannes-Winter method for energy-constrained quantum systems and its use ⋮ Attainability and lower semi-continuity of the relative entropy of entanglement and variations on the theme ⋮ Quantum information theory in infinite dimensions with application to optical channels ⋮ Close-to-optimal continuity bound for the von Neumann entropy and other quasi-classical applications of the Alicki-Fannes-Winter technique ⋮ Unnamed Item ⋮ On quantum channels and operations preserving finiteness of the von Neumann entropy ⋮ Strong convergence of quantum channels: Continuity of the Stinespring dilation and discontinuity of the unitary dilation ⋮ Uniform continuity bounds for characteristics of multipartite quantum systems ⋮ A two-parameter entropy and its fundamental properties ⋮ On quantum operations of photon subtraction and photon addition ⋮ On completion of the cone of completely positive linear maps with respect to the energy-constrained diamond norm ⋮ Energy-constrained diamond norms and quantum dynamical semigroups ⋮ Extreme points of the set of quantum states with bounded energy

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