Please use this identifier to cite or link to this item: https://hdl.handle.net/11147/5426
Title: Two-circles theorem, q-periodic functions and entangled qubit states
Authors: Pashaev, Oktay
Keywords: Periodic structures
Difference equations
Fractals
Phase space methods
Quantum entanglement
Issue Date: 2014
Publisher: IOP Publishing Ltd.
Source: Pashaev, O. (2014). Two-circles theorem, q-periodic functions and entangled qubit states. Journal of Physics: Conference Series, 482(1). doi:10.1088/1742-6596/482/1/012033
Abstract: For arbitrary hydrodynamic flow in circular annulus we introduce the two circle theorem, allowing us to construct the flow from a given one in infinite plane. Our construction is based on q-periodic analytic functions for complex potential, leading to fixed scale-invariant complex velocity, where q is determined by geometry of the region. Self-similar fractal structure of the flow with q-periodic modulation as solution of q-difference equation is studied. For one point vortex problem in circular annulus by fixing singular points we find solution in terms of q-elementary functions. Considering image points in complex plane as a phase space for qubit coherent states we construct Fibonacci and Lucas type entangled N-qubit states. Complex Fibonacci curve related to this construction shows reach set of geometric patterns.
Description: Physics and Mathematics of Nonlinear Phenomena 2013, PMNP 2013; Gallipoli; Italy; 22 June 2013 through 29 June 2013
URI: http://doi.org/10.1088/1742-6596/482/1/012033
http://hdl.handle.net/11147/5426
ISSN: 1742-6588
1742-6596
Appears in Collections:Mathematics / Matematik
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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