Requirements for compatibility between local and multipartite quantum states

Details Requirements for compatibility between local and multipartite quantum states Requirements for compatibility between local and multipartite quantum states

2003-01-06

arxiv.org/abs/quant-ph/0301014v2

Quantum Inf. and Comp., Vol. 4, No. 1 (2004) pp.012-026

Physics

Quantum Physics

15 pages, 1 figure, reference added

Scientific paper

We consider a partial trace transformation which maps a multipartite quantum state to collection of local density matrices. We call this collection a mean field state. The necessary and sufficient conditions under which a mean field state is compatible with at least one multipartite pure state are found for the system of $n$ qubits and for the tripartite system with the Hilbert space of dimension 2x2x4. Compatibility of mean field states with more general classes of multipartite quantum states is discussed.

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