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quant-phApr 30, 2014
9
citations (OpenAlex)
authors
  • Isaac H. Kim
  • Mary Beth Ruskai
institutions
  • Perimeter Institute
  • University of Waterloo
arXiv abstractPDF
paper

Bounds on the Concavity of Quantum Entropy

arXiv:1404.5999 · doi:10.1063/1.4895757

Abstract

We give new upper and lower bounds on the concavity of quantum entropy. Comparisons are given with other results in the literature.

arXiv comment7 pages, fixed several errors

References in corpus (5)

  • On quantum Renyi entropies: a new generalization and some properties
  • Sandwiched Rényi Divergence Satisfies Data Processing Inequality
  • Universal bounds for the Holevo quantity, coherent information \\ and the Jensen-Shannon divergence
  • Remainder Terms for Some Quantum Entropy Inequalities
  • Modulus of convexity for operator convex functions

Cited by in corpus (7)

  • Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints
  • Continuity of quantum entropic quantities via almost convexity
  • Seeing topological entanglement through the information convex
  • Integral formula for quantum relative entropy implies data processing inequality
  • Bounds on Information Combining With Quantum Side Information
  • Continuity bounds for quantum entropies arising from a fundamental entropic inequality
  • Random private quantum states
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