Characterizing the entanglement of symmetric many-particle spin-[Formula Presented] systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 67, Issue 2, 2003, Pages 17-

  Stockton, John K ^a   Geremia, J M ^a   Doherty, Andrew C ^a   Mabuchi, Hideo ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

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EID: 84870360893     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.67.022112     Document Type: Article

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52. We work with the convention that for any bipartite split of a system, (Formula presented) the symbol A is equivalent to a list of the particles residing on its side of the split, and likewise for B. (Formula presented) and (Formula presented) are the number of particles on each side of the split; (Formula presented) and (Formula presented) are the Hilbert space dimensions of each side, generally (Formula presented) and (Formula presented) for nonsymmetric collections of spin-1/2 particles.
53. We use the convention that for any bipartite measure X if (Formula presented) is less than the number of spins N in (Formula presented) the possibly mixed state that the measure (Formula presented) should act on is actually (Formula presented) For the concurrence, we use the similar convention (Formula presented)