A QUANTUM WALK WITH A DELOCALIZED INITIAL STATE: CONTRIBUTION FROM A COIN-FLIP OPERATOR

DOI10.1142/S0219749913500536zbMath1287.81072arXiv1203.5396MaRDI QIDQ5413321

Takuya Machida

Publication date: 29 April 2014

Published in: International Journal of Quantum Information (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.5396

zbMATH Keywords

limit distribution2-state quantum walkdelocalized initial state

Mathematics Subject Classification ID

Quantum stochastic calculus (81S25) Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (2)

Quantum walks ⋮ Quantum walks with an anisotropic coin. II: Scattering theory

Cites Work

• Localization of the Grover walks on spidernets and free Meixner laws
• The Carleson-Hunt theorem on Fourier series
• Quantum walk on distinguishable non-interacting many-particles and indistinguishable two-particle
• A new type of limit theorems for the one-dimensional quantum random walk
• LIMIT THEOREMS FOR A LOCALIZATION MODEL OF 2-STATE QUANTUM WALKS
• LIMIT THEOREMS FOR QUANTUM WALKS DRIVEN BY MANY COINS
• Pointwise convergence of Fourier series

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