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Chapter 5: Quantifying Information

Chapter 5: Quantifying Information

pp. 125-152

Authors

, California Institute of Technology, USA, , Delft University of Technology, The Netherlands
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Extract

How do we define knowledge, and, crucially for cryptography, ignorance? In this chapter we lay the basis for future security proofs by formalizing the notion of knowledge of a quantum party, such as the memory of an eavesdropper, about a classical piece of information, such as a secret key. For this we introduce an appropriate measure of conditional entropy, the min-entropy, and introduce important tools to bound it using guessing games.

Keywords

  • Trace distance
  • entropy
  • min-entropy
  • uncertainty principle
  • guessing game

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