Entanglement in neutrino oscillationsM. 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.
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