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Quantum
Information and Computation
ISSN: 1533-7146
published since 2001
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Vol.4 No.1 January 2004 |
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Compatibility between local and multipartite states
(pp012-026)
Sergey Bravyi
doi:
https://doi.org/10.26421/QIC4.1-2
Abstracts:
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 $(\CC^2)^{\otimes n}$ and $\CC^2\otimes\CC^2\otimes\CC^4$
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.
Key words:
entanglement, multipartite system, reduced density matrix |
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