Stability of flip and exchange symmetric entangled state classes under invertible local operations
Gedik, Zafer (2011) Stability of flip and exchange symmetric entangled state classes under invertible local operations. Optics Communications, 284 (2). pp. 681-684. ISSN 0030-4018
Official URL: http://dx.doi.org/10.1016/j.optcom.2010.09.041
Flip and exchange symmetric (FES) many-qubit states, which can be obtained from a state with the same symmetries by means of invertible local operations (ILO), constitute a set of curves in the Hilbert space. Eigenstates of FES ILOs correspond to vectors that cannot be transformed to other FES states. This means equivalence classes of states under ILO can be determined in a systematic way for an arbitrary number of qubits. More important, for entangled states, at the boundaries of neighboring equivalence classes, one can show that when the fidelity between the final state after an ILO and a state of the neighboring class approaches unity, the probability of success decreases to zero. Therefore, the classes are stable under ILOs.
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