Some Bipartite States do not Arise from Channels

Details Some Bipartite States do not Arise from Channels Some Bipartite States do not Arise from Channels

2003-03-24

arxiv.org/abs/quant-ph/0303141v3

IBM Journal of Research and Development 48, 111-114 (2004)

Physics

Quantum Physics

7 pages; minor typos corrected. To appear in special issue of the IBM Journal of Research and Development for Charles Bennett'

Scientific paper

It is well-known that the action of a quantum channel on a state can be represented, using an auxiliary space, as the partial trace of an associated bipartite state. Recently, it was observed that for the bipartite state associated with the optimal average input of the channel, the entanglement of formation is simply the entropy of the reduced density matrix minus the Holevo capacity. It is natural to ask if every bipartite state can be associated with some channel in this way. We show that the answer is negative.

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