Quantum Marginal Problem and Representations of the Symmetric Group
نویسنده
چکیده
We discuss existence of mixed state ρAB of two (or multy-) component system HAB = HA ⊗ HB with reduced density matrices ρA, ρB and given spectra λAB , λA, λB . We give a complete solution of the problem in terms of linear inequalities on the spectra, accompanied with extensive tables of marginal inequalities, including arrays up to 4 qubits. In the second part of the paper we pursue another approach based on reduction of the problem to representation theory of the symmetric group.
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تاریخ انتشار 2004