On the energy-constrained diamond norm and its application in quantum information theory

DOI10.1134/S0032946018010027MaRDI QIDQ2190915

M. E. Shirokov

Publication date: 23 June 2020

Published in: Problems of Information Transmission (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.00361

Mathematics Subject Classification ID

Finite generation, finite presentability, normal forms (diamond lemma, term-rewriting) (16S15) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Operator spaces and completely bounded maps (46L07) Spaces of measures, convergence of measures (28A33) Information theory (general) (94A15) Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum channels, fidelity (81P47)

Related Items (17)

Optimal form of the Kretschmann–Schlingemann–Werner theorem for energy-constrained quantum channels and operations ⋮ Convergence rates for the quantum central limit theorem ⋮ Correlation measures of a quantum state and information characteristics of a quantum channel ⋮ Amortized channel divergence for asymptotic quantum channel discrimination ⋮ Continuous variable port-based teleportation ⋮ Converse bounds for quantum and private communication over Holevo–Werner channels ⋮ Strong convergence of quantum channels: Continuity of the Stinespring dilation and discontinuity of the unitary dilation ⋮ Operator -norms and their use ⋮ Uniform finite-dimensional approximation of basic capacities of energy-constrained channels ⋮ 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 ⋮ Convergence rates for quantum evolution and entropic continuity bounds in infinite dimensions ⋮ Uniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy ⋮ Refined diamond norm bounds on the emergence of objectivity of observables ⋮ Energy requirement for implementing unitary gates on energy-unbounded systems ⋮ Computable lower bounds on the entanglement cost of quantum channels

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