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Partial scaling transform of multiqubit states as a criterion of separability

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Published copy (DOI)


  • C. Lupo
  • V. I. Man'ko
  • G. Marmo
  • E. C G Sudarshan


Publication details

JournalJournal of Physics A: Mathematical and General
DatePublished - 2 Dec 2005
Issue number48
Number of pages15
Pages (from-to)10377-10391
Original languageEnglish


The partial scaling transform of the density matrix for multiqubit states is introduced to detect entanglement of the quantum state. The transform contains partial transposition as a special case. The scaling transform corresponds to partial time scaling of a subsystem (or partial Planck constant scaling) which was recently used to formulate a separability criterion for continuous variables. A measure of entanglement which is a generalization of negativity measure is introduced being based on tomographic probability description of spin states.

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