Advanced Alicki-Fannes-Winter method for energy-constrained quantum systems and its use
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Publication:2677232
DOI10.1007/s11128-020-2581-2OpenAlexW3016117362MaRDI QIDQ2677232
Publication date: 13 January 2023
Published in: Quantum Information Processing (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1907.02458
quantum channelHamiltonian of a quantum systemquantum conditional mutual informationuniform continuity bound\(\varepsilon\)-sufficient input dimensionmulti-mode quantum oscillator
Quantum information, communication, networks (quantum-theoretic aspects) (81P45) Quantum channels, fidelity (81P47)
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Cites Work
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- Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints
- Quantum systems, channels, information. A mathematical introduction.
- Mutual and coherent information for infinite-dimensional quantum channels
- Continuity of quantum channel capacities
- Expectations and entropy inequalities for finite quantum systems
- Adaptation of the Alicki-Fannes-Winter method for the set of states with bounded energy and its use
- Necessary criterion for approximate recoverability
- Uniform finite-dimensional approximation of basic capacities of energy-constrained channels
- Convergence rates for quantum evolution and entropic continuity bounds in infinite dimensions
- Conditional channel simulation
- A continuity property of the entropy density for spin lattice systems
- Optimal uniform continuity bound for conditional entropy of classical-quantum states
- Measures of correlations in infinite-dimensional quantum systems
- Continuity bounds on the quantum relative entropy — II
- Conditional Entropy for Infinite-Dimensional Quantum Systems
- Tight Bound on Relative Entropy by Entropy Difference
- Continuity bounds on the quantum relative entropy
- Continuity of quantum conditional information
- Energy-Constrained Private and Quantum Capacities of Quantum Channels
- Approximate Degradable Quantum Channels
- Tight uniform continuity bounds for the quantum conditional mutual information, for the Holevo quantity, and for capacities of quantum channels
- Quantum Channel Capacities per Unit Cost
- Converse bounds for quantum and private communication over Holevo–Werner channels
- Maximum and minimum entropy states yielding local continuity bounds
- Entanglement-Assisted Capacities of Constrained Quantum Channels
- “Squashed entanglement”: An additive entanglement measure
- General Mixed-State Quantum Data Compression With and Without Entanglement Assistance
- Communication Cost for Non-Markovianity of Tripartite Quantum States: A Resource Theoretic Approach
- Uniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy
- On the Quantum Rényi Relative Entropies and Related Capacity Formulas
- A sharp continuity estimate for the von Neumann entropy
- Continuous Ensembles and the Capacity of Infinite-Dimensional Quantum Channels
- On asymptotic continuity of functions of quantum states
- The structure of degradable quantum channels
- Quantum Information Theory
