scholarly journals Entanglement in a QFT Model of Neutrino Oscillations

2014 ◽  
Vol 2014 ◽  
pp. 1-6 ◽  
Author(s):  
M. Blasone ◽  
F. Dell’Anno ◽  
S. De Siena ◽  
F. Illuminati

Tools of quantum information theory can be exploited to provide a convenient description of the phenomena of particle mixing and flavor oscillations in terms of entanglement, a fundamental quantum resource. We extend such a picture to the domain of quantum field theory where, due to the nontrivial nature of flavor neutrino states, the presence of antiparticles provides additional contributions to flavor entanglement. We use a suitable entanglement measure, the concurrence, that allows extracting the two-mode (flavor) entanglement from the full multimode, multiparticle flavor neutrino states.

Author(s):  
Arkady Plotnitsky

Taking as its point of departure the discovery of the Higgs boson, this article considers quantum theory, including quantum field theory, which predicted the Higgs boson, through the combined perspective of quantum information theory and the idea of technology, while also adopting a non-realist interpretation, in ‘the spirit of Copenhagen’, of quantum theory and quantum phenomena themselves. The article argues that the ‘events’ in question in fundamental physics, such as the discovery of the Higgs boson (a particularly complex and dramatic, but not essentially different, case), are made possible by the joint workings of three technologies: experimental technology, mathematical technology and, more recently, digital computer technology. The article will consider the role of and the relationships among these technologies, focusing on experimental and mathematical technologies, in quantum mechanics (QM), quantum field theory (QFT) and finite-dimensional quantum theory, with which quantum information theory has been primarily concerned thus far. It will do so, in part, by reassessing the history of quantum theory, beginning with Heisenberg's discovery of QM, in quantum-informational and technological terms. This history, the article argues, is defined by the discoveries of increasingly complex configurations of observed phenomena and the emergence of the increasingly complex mathematical formalism accounting for these phenomena, culminating in the standard model of elementary-particle physics, defining the current state of QFT.


Entropy ◽  
2021 ◽  
Vol 24 (1) ◽  
pp. 4
Author(s):  
Charis Anastopoulos ◽  
Ntina Savvidou

Proposed quantum experiments in deep space will be able to explore quantum information issues in regimes where relativistic effects are important. In this essay, we argue that a proper extension of quantum information theory into the relativistic domain requires the expression of all informational notions in terms of quantum field theoretic (QFT) concepts. This task requires a working and practicable theory of QFT measurements. We present the foundational problems in constructing such a theory, especially in relation to longstanding causality and locality issues in the foundations of QFT. Finally, we present the ongoing Quantum Temporal Probabilities program for constructing a measurement theory that (i) works, in principle, for any QFT, (ii) allows for a first- principles investigation of all relevant issues of causality and locality, and (iii) it can be directly applied to experiments of current interest.


2009 ◽  
Vol 79 (9) ◽  
Author(s):  
D. Delepine ◽  
Vannia Gonzalez Macias ◽  
Shaaban Khalil ◽  
G. Lopez Castro

1995 ◽  
Vol 362 (1-4) ◽  
pp. 91-96 ◽  
Author(s):  
E. Alfinito ◽  
M. Blasone ◽  
A. Iorio ◽  
G. Vitiello

2009 ◽  
Vol 674 (1) ◽  
pp. 73-79 ◽  
Author(s):  
Massimo Blasone ◽  
Antonio Capolupo ◽  
Enrico Celeghini ◽  
Giuseppe Vitiello

2013 ◽  
Vol 25 (10) ◽  
pp. 1343005
Author(s):  
LOUIS CRANE

Recent work on neutrino oscillations suggests that the three generations of fermions in the standard model are related by representations of the finite group A(4), the group of symmetries of the tetrahedron. Motivated by this, we explore models which extend the EPRL model for quantum gravity by coupling it to a bosonic quantum field of representations of A(4). This coupling is possible because the representation category of A(4) is a module category over the representation categories used to construct the EPRL model. The vertex operators which interchange vacua in the resulting quantum field theory reproduce the bosons and fermions of the standard model, up to issues of symmetry breaking which we do not resolve. We are led to the hypothesis that physical particles in nature represent vacuum changing operators on a sea of invisible excitations which are only observable in the A(4) representation labels which govern the horizontal symmetry revealed in neutrino oscillations. The quantum field theory of the A(4) representations is just the dual model on the extended lattice of the Lie group E6, as explained by the quantum McKay correspondence of Frenkel, Jing and Wang. The coupled model can be thought of as string field theory, but propagating on a discretized quantum spacetime rather than a classical manifold.


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