NON-UNIFORM MIXING OF QUANTUM WALK ON CYCLES

DOI10.1142/S0219749907003195zbMath1200.81021arXiv0708.2096MaRDI QIDQ3503053

Leon Bergen, Kevin Andrew, Christino Tamon, William Adamczak, Peter Hernberg, Dillon Ethier, Jennifer Shu-Jen Lin

Publication date: 20 May 2008

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

Full work available at URL: https://arxiv.org/abs/0708.2096

zbMATH Keywords

mixingquantum walkcirculantcontinuous-time

Mathematics Subject Classification ID

Quantum computation (81P68) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (12)

Quantum Walks ⋮ Decoherence in two-dimensional quantum walks with two- and four-state coins ⋮ MIXING OF QUANTUM WALKS ON GENERALIZED HYPERCUBES ⋮ Uniform mixing and association schemes ⋮ Irrational Quantum Walks ⋮ Discrete-time quantum walks on one-dimensional lattices ⋮ Discretization of continuous-time quantum walks via the staggered model with Hamiltonians ⋮ State transfer on graphs ⋮ Understanding and controllingN-dimensional quantum walks via dispersion relations: application to the two-dimensional and three-dimensional Grover walks—diabolical points and more ⋮ A study and analysis of a discrete quantum walk-based hybrid clustering approach using d-regular bipartite graph and 1D lattice ⋮ A new perspective on the average mixing matrix ⋮ Average mixing matrix of trees

Cites Work

• Quantum walks on cycles
• One-dimensional continuous-time quantum walks
• QUANTUM WALKS ON GENERAL GRAPHS
• PARAMETERS OF INTEGRAL CIRCULANT GRAPHS AND PERIODIC QUANTUM DYNAMICS
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