Neutrino flavor-mass uncertainty relations and an entanglement-assisted determination of the PMNS matrix
As a result of a non-trivial mixing matrix, neutrinos cannot be simultaneously in a flavor and mass eigenstate. We formulate and discuss information entropic relations that quantify the associated quantum uncertainty. We also formulate a protocol to determine the Pontecorvo-Maki-Nakagawa-Sakata (PMN...
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| Main Authors: | , |
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| Format: | Article (Journal) Chapter/Article |
| Language: | English |
| Published: |
15 Nov 2018
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| In: |
Arxiv
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| Online Access: | Verlag, Volltext: http://arxiv.org/abs/1811.06403
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| Author Notes: | Stefan Floerchinger and Jan-Markus Schwindt |
| Summary: | As a result of a non-trivial mixing matrix, neutrinos cannot be simultaneously in a flavor and mass eigenstate. We formulate and discuss information entropic relations that quantify the associated quantum uncertainty. We also formulate a protocol to determine the Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix from quantum manipulations and measurements on an entangled lepton-neutrino pair. The entangled state features neutrino oscillations in a conditional probability involving measurements on the lepton and the neutrino. They can be switched off by choosing a specific observable on the lepton side which is determined by the PMNS matrix. The parameters of the latter, including the CP-violating phase $\delta$, can be obtained by guessing them and improving the guess by minimizing the remaining oscillations. |
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| Item Description: | Gesehen am 16.01.2019 |
| Physical Description: | Online Resource |