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Stability of flip and exchange symmetric entangled state classes under invertible local operations

Gedik, Zafer (2009) Stability of flip and exchange symmetric entangled state classes under invertible local operations.

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Abstract

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 one-parameter family 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. Furthermore, 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, probability of success decreases to zero. Therefore, the classes are stable under ILOs.

Item Type:Article
Uncontrolled Keywords:qubits, quantum entanglement, ILO, LOCC, SLOCC
Subjects:Q Science > QC Physics > QC170 Atomic physics. Quantum theory.
Q Science > QC Physics > QC1 General
ID Code:12788
Deposited By:Zafer Gedik
Deposited On:19 Nov 2009 11:32
Last Modified:19 Nov 2009 11:32

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