Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection

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  • Conference Object
    Citation - WoS: 8
    Citation - Scopus: 11
    Two-Circles Theorem, Q-Periodic Functions and Entangled Qubit States
    (IOP Publishing Ltd., 2014) Pashaev, Oktay
    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.