Year 2017

• Amplifying the Randomness of Weak Sources Correlated With Devices

  Publication

  • P. Horodecki
  • H. Wojewódka
  • F. G. Brandao
  • A. Grudka
  • K. Horodecki
  • M. Horodecki
  • R. Ramanathan
  • M. Stankiewicz
  • M. Pawłowski

  - IEEE TRANSACTIONS ON INFORMATION THEORY - Year 2017

  The problem of device-independent randomness amplification against no-signaling adversaries has so far been studied under the assumption that the weak source of randomness is uncorrelated with the (quantum) devices used in the amplification procedure. In this paper, we relax this assumption, and reconsider the original protocol of Colbeck and Renner using a Santha-Vazirani (SV) source. To do so, we introduce an SV-like condition...

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• Zero-knowledge convincing protocol on quantum bit is impossible

  Publication

  • P. Horodecki
  • R. Horodecki
  • M. Horodecki

  - Quantum Journal - Year 2017

  It is one of fundamental features of quantum formalism that o n one hand it provides a new infor- mation processing resources and on the other hand puts funda mental constraints on the processing of quantum information implying “no-go” theorems for cloni ng [1–3], bit commitment [4, 5] and deleting [6] in quantum theory. Here we ask about possibilit y of “zero knowledge” scenario which, for its simplicity, can be considered as...

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