Corpus ID: 13246812

Quantum Side Information: Uncertainty Relations, Extractors, Channel Simulations

@article{Berta2013QuantumSI,
  title={Quantum Side Information: Uncertainty Relations, Extractors, Channel Simulations},
  author={M. Berta},
  journal={ArXiv},
  year={2013},
  volume={abs/1310.4581}
}
  • M. Berta
  • Published 2013
  • Physics, Computer Science, Mathematics
  • ArXiv
  • In the first part of this thesis, we discuss the algebraic approach to classical and quantum physics and develop information theoretic concepts within this setup. In the second part, we discuss the uncertainty principle in quantum mechanics. The principle states that even if we have full classical information about the state of a quantum system, it is impossible to deterministically predict the outcomes of all possible measurements. In comparison, the perspective of a quantum observer allows… CONTINUE READING
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    References

    SHOWING 1-10 OF 248 REFERENCES
    Uncertainty relations for multiple measurements with applications
    • 5
    • PDF
    Quantum to Classical Randomness Extractors
    • 35
    • PDF
    Entanglement cost of quantum channels
    • 54
    • PDF
    The decoupling approach to quantum information theory
    • 93
    • PDF
    Security of quantum key distribution
    • R. Renner
    • Computer Science, Physics
    • Ausgezeichnete Informatikdissertationen
    • 2005
    • 900
    • PDF
    A framework for non-asymptotic quantum information theory
    • 241
    • PDF