Entropic Entanglement Criteria for Fermion Systems
arXiv:1103.0569 · doi:10.1140/epjd/e2011-10654-x
Abstract
Entanglement criteria for general (pure or mixed) states of systems consisting of two identical fermions are introduced. These criteria are based on appropriate inequalities involving the entropy of the global density matrix describing the total system, on the one hand, and the entropy of the one particle reduced density matrix, on the other one. A majorization-related relation between these two density matrices is obtained, leading to a family of entanglement criteria based on Rényi's entropic measure. These criteria are applied to various illustrative examples of parametrized families of mixed states. The dependence of the entanglement detection efficiency on Rényi's entropic parameter is investigated. The extension of these criteria to systems of identical fermions is also considered.
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- Algebraic Approach to Entanglement and Entropy
- Quantum walks of interacting fermions on a cycle graph
- Rényi entropies of the highly-excited states of multidimensional harmonic oscillators by use of strong Laguerre asymptotics
- Dynamics of entanglement in systems of identical fermions undergoing decoherence
- Persistent fermionic entanglement under decoherence