Dissipative effects on a generation scheme of a W state in an array of coupled Josephson junctions

R Migliore (1) , M Scala (2) , A Napoli (2) , K Yuasa (3) , H Nakazato (4) , A Messina (2)

1 Institute of Biophysics
2 Dipartimento di Scienze Fisiche ed Astronomiche
3 Waseda Institute for Advanced Study
4 Department of Physics [Tokyo]

The dynamics of an open quantum system, consisting of three superconducting qubits interacting with independent reservoirs, is investigated to elucidate the effects of the environment on a unitary generation scheme of W states [ Migliore R. et al. (2006) Phys. Rev. B 74, 104503 ]. To this end a microscopic master equation is constructed and its exact resolution predicts the generation of a Werner-like state instead of the W state. A comparison between our model and a more intuitive phenomenological model is also considered, in order to find the limits of the latter approach in the case of structured reservoirs. Dissipative effects on a scheme of generation of a W state in an array of coupled Josephson junctions2

Mots clés: 03.65.Yz; 42.50.Dv; 42.50.Lc; 03.65.Ud; 03.67.Mn

R Migliore, M Scala, A Napoli, K Yuasa, H Nakazato, et al.. Dissipative effects on a generation scheme of a W state in an array of coupled Josephson junctions. Journal of Physics B: Atomic, Molecular and Optical Physics, 2011, 44 (7), pp.75503. ⟨10.1088/0953-4075/44/7/075503⟩. ⟨hal-00608728⟩