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I Peres-Horodecki criterion for a 3-qubit system

  1. Dec 15, 2016 #1


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    Hello everyone,

    Is the Peres-Horodecki criterion correct for any density matrix nxn?
    I have a 3 qubit state (an 8x8 matrix) and I want to check whether it's entangled or not and I'm not sure if it's the right approach. Seems a little too cumbersome.

    Thanks in advance.
  2. jcsd
  3. Dec 16, 2016 #2
    AFAIK the Peres criterion is sufficient for any density matrix, but it's if and only if only for 2 qubit density matrices, that is for your matrix it may fail and still you might have an entangled state
  4. Dec 16, 2016 #3
    The Peres-Horodecki criterion is necessary and sufficient only for 2x2 and 2x3 systems, see e.g. the arxiv version of their paper: https://arxiv.org/pdf/quant-ph/9605038.pdf
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