Entanglement and Decoherence: From Neutrino Oscillations to Quantum Computing

Benjamin Hall, Alessandro Roggero, Allesandro Baroni +1 more

Edson C. M. Nogueira

In this work, we studied entanglement and decoherence in neutrino oscillations from a quantum metrology perspective. A summary of the quantum eld theoretic description of neutrinos was done and the main quantum mechanical models were used to analyze the inuence of entanglement and decoherence on the quantum Fisher information related to the mixing angle. We have found that, although in a variety of physical settings there is a positive relationship between entanglement and the quantum Fisher information, this is not the case in the neutrino oscillations scenario. This shows that, at least in single-particle settings, entanglement is not directly related to the optimal estimation in metrological tasks.

Konstantin Stankevich, Alexander I. Studenikin

Abstract Neutrino oscillations in a constant magnetic field are considered. The backward influence of neutrinos on the environment is accounted for using the density matrix formalism. The entanglement of neutrinos with the magnetic field can destroy quantum coherent superposition of different neutrino states and thus lead to the suppression of neutrino oscillations. The master equation for the neutrino density matrix accounting for the effects of quantum decoherence due to entanglement with the magnetic field is derived.

Ana Maria Dima, M. Dima

Arnab Sarker, Harshita Bhuyan, Moon Moon Devi

We discuss the effect of environmental decoherence on matter-effective neutrino oscillation probabilities. Decoherence is a phenomenon observed in systems interacting with the environment. We treat the neutrinos as an open quantum system and by using the Lindblad Master equation we study the evolution of neutrino states. The matter effect is incorporated for neutrinos passing through matter with the help of the Cayley-Hamilton formalism. In this work, we have developed a general algorithm that attempts to solve the Lindblad Master Equation to compute the neutrino oscillation probabilities in presence of environmental decoherence. We extensively validate the algorithm and explore how environmentally induced decoherence can potentially affect the oscillation probabilities, particularly in the long-baseline sector.