Spin-Space Entanglement Transfer and Quantum Statistics

Abstract

Both the topics of entanglement and particle statistics have aroused enormous research interest since the advent of quantum mechanics. Using two pairs of entangled particles we show that indistinguishability enforces a transfer of entanglement from the internal to the spatial degrees of freedom without any interaction between these degrees of freedom. Moreover, sub-ensembles selected by local measurements of the path will in general have different amounts of entanglement in the internal degrees of freedom depending on the statistics (either fermionic or bosonic) of the particles involved.

5 figures. Various changes for clarification and references added

References in corpus (4)

• Quantum Correlations in Two-Fermion Systems
• Generic entanglement generation, quantum statistics and complementarity
• Impurity Scattering Induced Entanglement of Ballistic Electrons
• Entanglement Concentration Using Quantum Statistics

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