Year 2015

• ON THE NON-LOCALITY OF TRIPARTITE NON-SINGALING BOXES EMERGING FROM WIRINGS

  Publication

  • J. Tuziemski
  • K. Horodecki

  - QUANTUM INFORMATION & COMPUTATION - Year 2015

  It has been recently shown, that some of the tripartite boxes admittin g bilocal decom- position, lead to non-locality under wiring operation applied to t wo of the subsystems [R. Gallego et al. Physical Review Letters 109 , 070401 (2012)]. In the following, we study this phenomenon quantitatively. Basing on the known classes of bo xes closed un- der wirings, we introduce multipartite monotones which are count erparts of bipartite ones...

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Year 2013

• Multiacces quantum communication and product higher rank numerical range

  Publication

  • M. Demianowicz
  • P. Horodecki
  • K. Życzkowski

  - QUANTUM INFORMATION & COMPUTATION - Year 2013

  In the present paper we initiate the study of the product higher rank numerical range. The latter, being a variant of the higher rank numerical range, is a natural tool for study- ing a construction of quantum error correction codes for multiple access channels. We review properties of this set and relate it to other numerical ranges, which were recently introduced in the literature. Further, the concept is applied to the construction...

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• NO-BROADCASTING OF NON-SIGNALLING BOXES VIA OPERATIONS WHICH TRANSFORM LOCAL BOXES INTO LOCAL ONES

  Publication

  • P. Joshi
  • A. Grudka
  • K. Horodecki
  • M. Horodecki
  • P. Horodecki
  • R. Horodecki

  - QUANTUM INFORMATION & COMPUTATION - Year 2013

  We deal with families of probability distributions satisfying non-signalling condition, called non-signalling boxes and consider a class of operations that transform local boxes into local ones (the one that admit LHV model). We prove that any operation from this class cannot broadcast a bipartite non-local box with 2 binary inputs and outputs. We consider a function called anti-Robustness which can not decrease under these operations....

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Year 2010

• Are quantum correlations symmetric?

  Publication

  • K. Horodecki
  • M. Horodecki
  • P. Horodecki

  - QUANTUM INFORMATION & COMPUTATION - Year 2010

  We provide operational definition of symmetry of entanglement: An entangled state contains symmetric entanglement if its subsystems can be exchanged (swapped) by means of local operations and classical communication. We show that in general states have asymmetric entanglement. This allows to construct nonsymmetric measure of entanglement, and a parameter that reports asymmetry of entanglement contents of quantum state. We propose...

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