Neutrino oscillations in discrete-time quantum walk framework
Open accessAbstract
Here we present neutrino oscillation in the framework of quantum walks. Starting from a one spatial dimensional discrete-time quantum walk we present a scheme of evolutions that will simulate neutrino oscillation. The set of quantum walk parameters which is required to reproduce the oscillation probability profile obtained in both, long range and short range neutrino experiment is explicitly presented. Our scheme to simulate three-generation neutrino oscillation from quantum walk evolution operators can be physically realized in any low energy experimental set-up with access to control a single six-level system, a multiparticle three-qubit or a qubit–qutrit system. We also present the entanglement between spins and position space, during neutrino propagation that will quantify the wave function delocalization around instantaneous average position of the neutrino. This work will contribute towards understanding neutrino oscillation in the framework of the quantum information perspective.
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The correspondence between DQWs and the dynamics of Dirac particles suggests that the QWs formalism is a viable approach to reproduce a variety of phenomena underpinned by Dirac particle dynamics in both the high- and low-energy regime.
“The correspondence between DQWs and the dynamics of Dirac particles suggests that the QWs formalism is as a viable approach to reproduce a variety of phenomena underpinned by Dirac particle dynamics in both the high- and low-energy regime22,39,43.”
From Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer (2020) · cites this paper as [22]
The Introduction says discrete-time quantum walks can simulate Dirac dynamics and proposes using low-energy qubit systems to simulate high-energy phenomena. But the Numerical simulation section says the walk produces Dirac dynamics only when its parameters are small; the paper does not establish the broader claim that it reproduces a variety of Dirac-particle phenomena across both high- and low-energy regimes. (LLM, conf=0.82)
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“In addition, these models are also applied in studying phenomena such as Anderson localization [11-13], topological phases [14,15], and neutrino oscillations [16,17], showcasing their versatility in simulating a wide range of quantum effects.”
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- Authors
- Mallick, A., Mandal, S., & Chandrashekar, C. M.
- Affiliations
- Homi Bhabha National Institute (IN)
- Corresponding author
- Mallick, Arindam
- Mandal, Sanjoy
- Chandrashekar, C. M.
- Venue
- The European Physical Journal C
- Published
- 2017-02
- Volume
- 77
- Issue
- 2
- ISSN
- 1434-6044 (ISSN-L)
- 1434-6052
- OpenAlex
- W2574433003
- Cited by
- 37
- References
- 32
- Citations by year
- 2026: 1 · 2025: 4 · 2024: 5 · 2023: 1 · 2022: 6 · 2021: 7 · 2020: 4 · 2019: 4 · 2018: 4 · 2016: 1
- FWCI
- 1.68
- Type
- journal article
- Language
- en
- Open access
- diamond
- doi.org
- Locations
- The European Physical Journal C (publishedVersion, cc-by)
- arXiv (Cornell University) (publishedVersion)
- Springer Link (Chiba Institute of Technology) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Neutrino Physics Research
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- neutrino oscillations, discrete-time quantum walks, three-qubit systems, qubit-qutrit systems, wave function delocalization
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