UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS

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2024-11-23 17:45
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Conference: Bucharest University Faculty of Physics 2023 Meeting


Section: Theoretical Physics and Applied Mathematics


Title:
Decoherece in Gaussian Initial Walker State Quantum Walks With Application in Solving The Three Body Problem


Authors:
Maria-Catalina ISFAN (1,2), Laurentiu CARAMETE (1), Ana CARAMETE (1)


Affiliation:
1) Institute of Space Science, Magurele-Bucharest

2) Faculty of Physics, University of Bucharest


E-mail
maria.isfan@spacescience.ro


Keywords:
quantum walk, three-body problem


Abstract:
In this paper, we propose a new method to approach the Three-Body Problem, using the quantum walk algorithm that we modify by initiating the walker state with a Gaussian distribution and introducing decoherence through asymmetric depolarizing noise and amplitude damping noise. For robust statistical analysis and statistical tests, we compute the one-body energy probability distribution for a large number (10 000) of initial conditions sets and build a collection of probability densities of decoherent discrete-time Gaussian initial walker state quantum walk, with specific parameters. We show that 70% of one-body energy probability distributions are equated with the collection of our modified quantum walk probability densities. This signifies that the modified quantum walk algorithm reproduces the energy probability distributions of a body that interacts gravitationally with other two bodies, leading to a new view of solving the Three Body Problem.


References:

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