Entanglement in the presence of superselection rules

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  • 23 March 2003
Abstract
We quantify bipartite entanglement in the presence of general superselection rules. These rules limit the allowed operations in a bipartite setting and thus place powerful constraints on quantum information processing (QIP). We show that QIP in liquid NMR is subject to the superselection rule associated with the symmetric group (the group of permutations of molecules), and prove that even if each molecule consists of two qubits described by a pure Bell state, the entanglement per molecule in the presence of this superselection rule goes to zero for a large number of molecules.

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