Volume 85, Number 5, March 2009
Article Number 50002
Number of page(s) 6
Section General
Published online 17 March 2009
EPL, 85 (2009) 50002
DOI: 10.1209/0295-5075/85/50002

Entanglement in neutrino oscillations

M. Blasone1, 2, F. Dell'Anno1, 2, 3, S. De Siena1, 2, 3 and F. Illuminati1, 2, 3, 4

1   Dipartimento di Matematica e Informatica, Università degli Studi di Salerno Via Ponte don Melillo, I-84084 Fisciano (SA), Italy, EU
2   INFN Sezione di Napoli, Gruppo collegato di Salerno - Baronissi (SA), Italy, EU
3   CNR-INFM Coherentia - Napoli, Italy, EU
4   ISI Foundation for Scientific Interchange - Viale Settimio Severo 65, I-10133 Torino, Italy, EU

received 20 November 2008; accepted in final form 11 February 2009; published March 2009
published online 17 March 2009

Flavor oscillations in elementary particle physics are related to multimode entanglement of single-particle states. We show that mode entanglement can be expressed in terms of flavor transition probabilities, and therefore that single-particle entangled states acquire a precise operational characterization in the context of particle mixing. We treat in detail the physically relevant cases of two- and three-flavor neutrino oscillations, including the effective measure of CP violation. We discuss experimental schemes for the transfer of the quantum information encoded in single-neutrino states to spatially delocalized two-flavor charged-lepton states, thus showing, at least in principle, that single-particle entangled states of neutrino mixing are legitimate physical resources for quantum information tasks.

03.65.Ud - Entanglement and quantum nonlocality (e.g. EPR paradox, Bell's inequalities, GHZ states, etc.).
03.67.Mn - Entanglement measures, witnesses, and other characterizations.
14.60.Pq - Neutrino mass and mixing.

© EPLA 2009