Requirements for copatibility between local and multipartite quantum states

Authors:
Sergey Bravyi
Affiliations:
Institute for Quantum Information, California Institute of Technology, Pasadena, CA
Venue:
Quantum Information & Computation
Year:
2004

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Locally undetermined states, generalized schmidt decomposition, and application in deistributed comuting

Quantum Information & Computation

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Abstract

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. For the Hilbert spaces (C2)⊗n and C2 ⊗ C2 ⊗ C4 the necessary and sufficient conditions under which a mean field state is compatible with at least one multipartite pure state are found. Compatibility of mean field states with more general classes of multipartite quantum states is discussed.