par Gagatsos, Christos 
;Oreshkov, Ognyan ;Cerf, Nicolas
Référence Physical review. A, Atomic, Molecular, and Optical Physics, 87, 4, 042307
Publication Publié, 2013-04
;Oreshkov, Ognyan ;Cerf, Nicolas Référence Physical review. A, Atomic, Molecular, and Optical Physics, 87, 4, 042307
Publication Publié, 2013-04
Article révisé par les pairs
| Résumé : | We prove that a beam splitter, one of the most common optical components, fulfills several classes of majorization relations, which govern the amount of quantum entanglement that it can generate. First, we show that the state resulting from k photons impinging on a beam splitter majorizes the corresponding state with any larger photon number k′>k, implying that the entanglement monotonically grows with k. Then we examine parametric infinitesimal majorization relations as a function of the beam-splitter transmittance and find that there exists a parameter region where majorization is again fulfilled, implying a monotonic increase of entanglement by moving towards a balanced beam splitter. We also identify regions with a majorization default, where the output states become incomparable. In this latter situation, we find examples where catalysis may nevertheless be used in order to recover majorization. The catalyst states can be as simple as a path-entangled single-photon state or a two-mode squeezed vacuum state. © 2013 American Physical Society. |
