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Definition [ separability with respect to partitions ] : The state \ ; \ varrho _ of \ ; m subsystems \ ; A_1 , \ ldots , A_m is separable with respect to a given partition \ ; \ , where \ ; I_i are disjoint subsets of the indices \ ; I =\ , \ cup _ ^ k I_j = I , if and only if it can be written Definition [ semiseparability ] : The state \ ; \ varrho _ is semiseparable if and only if it is separable under all \ ; 1 - \ ; ( m-1 ) partitions , \ ; \ big \ , 1 \ leq k \ leq m. Definition [ s-particle entanglement ] : An \ ; m-particle system can have at most \ ; s-particle entanglement if it is a mixture of all states such that each of them is separable with respect to some partition \ ; \ , where all sets of indices \ ; I_k have cardinality \ ; N \ leq s. Separability characterization and criteria Pure states An equivalent definition to Full m-partite separability is given as follows : The pure state | \ Psi _ \ rangle of \ ; m subsystems \ ; A_1 , \ ldots , A_m is fully \ ; m-partite separable if and only if it can be written In order to check this , it is enough to compute reduced density matrices of elementary subsystems and see whether they are pure .
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Please list all entity words in the text that fit the category. Output format is "word1, word2". 
Option: location, person, organization 
Text: {0} 
Answer:
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