• Measurement-based local quantum filters and their ability to transform quantum entanglement

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    • Keywords


      Entanglement; local filters; quantum measurement

    • Abstract


      We introduce local filters as a means to detect the entanglement of bound entangled states which do not yield to detection by witnesses based on positive maps which are not completely positive.We demonstrate how suchnon-detectable bound entangled states can be locally filtered into detectable bound entangled states. Specifically, we show that a bound entangled state in the orthogonal complement of the unextendible product bases (UPB), canbe locally filtered into another bound entangled state that is detectable by the Choi map. We reinterpret these filters as local measurements on locally extended Hilbert spaces. We give explicit constructions of a measurement-basedimplementation of these filters for 2$\otimes$2 and 3$\otimes$3 systems. This provides us with a physical mechanism to implement such local filters.

    • Author Affiliations



      1. Department of Physical Sciences, Indian Institute of Science Education and Research Mohali, Manauli 140 306, India
      2. Department of Mathematical Sciences, Indian Institute of Science Education and Research, Berhampur, Govt. ITI, Berhampur (Transit Campus), National Highway 59, Berhampur 760 010, India
    • Dates

  • Pramana – Journal of Physics | News

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      Posted on July 25, 2019

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