Periodicity for the Hadamard Walk on Cycles

DOI10.4036/IIS.2017.A.01zbMath1468.81030arXiv1504.06396OpenAlexW2963048698MaRDI QIDQ5147807

Masato Takei, Yuki Shimizu, Norio Konno

Publication date: 28 January 2021

Published in: Interdisciplinary Information Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.06396

zbMATH Keywords

cycleperiodicityquantum walkHadamard walk

Mathematics Subject Classification ID

Quantum computation (81P68) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (8)

Periodicity of quantum walks defined by mixed paths and mixed cycles ⋮ Periodicity of Grover walks on complete graphs with self-loops ⋮ Quantum walk and its application domains: a systematic review ⋮ Odd-periodic Grover walks ⋮ Combinatorial necessary conditions for regular graphs to induce periodic quantum walks ⋮ Periodicity of lively quantum walks on cycles with generalized Grover coin ⋮ A quantum walk induced by Hoffman graphs and its periodicity ⋮ Periodicities of Grover walks on distance-regular graphs

Cites Work

• Quantum walks on a circle with optomechanical systems
• Quantum walks on cycles
• Quantum walks: a comprehensive review
• The CGMV method for quantum walks
• Physical implementation of quantum walks
• Quantum random walks in one dimension
• A new type of limit theorems for the one-dimensional quantum random walk
• EXAMPLES OF NON-UNIFORM LIMITING DISTRIBUTIONS FOR THE QUANTUM WALK ON EVEN CYCLES
• Quantum walks on graphs
• Quantum Walks
• Decoherence in quantum walks – a review
• Quantum walks and search algorithms

This page was built for publication: Periodicity for the Hadamard Walk on Cycles