Product state

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In quantum mechanics, a product state, or simply separable state, is a special type of separable state in which there are neither classical nor quantum correlations. Precisely, it is a joint state of two systems which can be expressed as

 \rho = \rho_1 \otimes \rho_2 ,

where \rho_1 and \rho_2 are states of the respective systems. This is a more restrictive condition than mere separability,

 \rho = \sum_k p_k \rho^k_1 \otimes \rho^k_2 .

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