The Alicki-Fannes-Winter technique in the quasi-classical settings: advanced version and its applications

2025/05/01 by M. E. Shirokov, Shirokov, M. E. · 1 citation
Earth and Planetary Sciences · #Meteorological Phenomena and Simulations

paper · pdf · doi:10.48550/arxiv.2505.00882

Abstract

We describe an advanced version of the AFW-technique proposed in [Lett. Math. Phys., 113, 121 (2023)],[Lobachevskii J. Math., 44(6), 2169 (2023)] which allows us to obtain lower semicontinuity bounds, continuity bounds and local lower bounds for characteristics of quantum systems and discrete random variables. We consider applications of the new version of the AFW-technique to several basic characteristics of quantum systems (the von Neumann entropy, the energy-type functionals, the quantum relative entropy, the conditional entropy and the entanglement of formation).

Citations

• Semicontinuity bounds for the von Neumann entropy and partial majorization
• Optimal continuity bound for the von Neumann entropy under energy constraints
• Continuity bounds for quantum entropies arising from a fundamental entropic inequality
• Entanglement cost for infinite-dimensional physical systems
• Local lower bounds on characteristics of quantum and classical systems
• Quantum entanglement
• An introduction to entanglement measures
• Continuity bounds for entanglement
• Mixed State Entanglement and Quantum Error Correction
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS

Cited by

• Optimal Hamiltonian for a quantum state with finite entropy

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