Separability of pure n-qubit states: two characterizations

2002/09/24 by Philippe Jorrand, Mehdi Mhalla, Jorrand, Philippe +1
Physics and Astronomy · #FOS: Physical sciences #Quantum Physics (quant-ph) #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0209125

14 pages, submitted to special issue of IJFCS

arxiv created 2002/09/24 · arxiv updated 2009/12/01

Abstract

This paper characterizes two forms of separability of pure states of systems of n qubits: (i) into a tensor product of n qubit states, and (ii), into a tensor product of 2 subsystems states of p and q qubits respectively with p+q=n. For both cases, necessary and sufficient conditions are proved in the form of minimal sets of equalities among pair-wise products of amplitudes. These conditions bear some relation with entanglement measures, and a number of more refined questions about separability in n qubit systems can be studied on the basis of these results.

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