Corpus ID: 222133169

Ke Li's lemma for quantum hypothesis testing in general von Neumann algebras

  title={Ke Li's lemma for quantum hypothesis testing in general von Neumann algebras},
  author={Y. Pautrat and Simeng Wang},
  journal={arXiv: Mathematical Physics},
A lemma stated by Ke Li in \cite{KeLi} has been used in e.g.\cite{DPR,DR,KW17,WTB,TT15} for various tasks in quantum hypothesis testing, data compression with quantum side information or quantum key distribution. This lemma was proven in finite dimension only (with an easy extension to type I von Neumann algebras). Here we show that the use of modular theory allows to give more transparent meaning to the objects constructed by the lemma, and to prove it for general von Neumann algebras. 


Asymptotic Error Rates in Quantum Hypothesis Testing
Second Order Asymptotics for Quantum Hypothesis Testing
  • Ke Li
  • Mathematics, Computer Science
  • ArXiv
  • 2012
Finite Blocklength and Moderate Deviation Analysis of Hypothesis Testing of Correlated Quantum States and Application to Classical-Quantum Channels With Memory
Converse Bounds for Private Communication Over Quantum Channels
Quantum Hypothesis Testing and Non-Equilibrium Statistical Mechanics
Upper bounds on secret-key agreement over lossy thermal bosonic channels
L spaces associated with von neumann algebras
  • Notes, Math. Institute, Copenhagen University,
  • 1981