Year 2022

• Universal construction of genuinely entangled subspaces of any size

  Publication

  • M. Demianowicz

  - Quantum Journal - Year 2022

  We put forward a simple construction of genuinely entangled subspaces – subspaces supporting only genuinely multipartite entangled states – of any permissible dimensionality for any number of parties and local dimensions. The method uses nonorthogonal product bases, which are built from totally nonsingular matrices with a certain structure. We give an explicit basis for the constructed subspaces. An immediate consequence of our...

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Year 2017

• 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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