All bipartitions of a Dicke state

Presenting Author: Marcos Moreno, Universidade Federal de Pernambuco
Contributing Author(s): Fernando Parisio

We analytically derive a closed form for a Schmidt decomposition of any bipartition of a system composed by an arbitrary number n of qubits in a Dicke state with an arbitrary number k of excitations. This decomposition is the key to some fundamental results, for instance it reveals the optimal set of entanglement witnesses for detecting entanglement in the vicinity of any balanced Dicke state, this result is used to characterise the loss of entanglement of these states against noise and unbalanced coefficients.

(Session 5 : Thursday from 5:00pm - 7:00 pm)


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