Average mixing matrix of trees

zbMath1391.81060arXiv1709.07907MaRDI QIDQ4568088

John Sinkovic, Krystal Guo, Chris D. Godsil

Publication date: 15 June 2018

Full work available at URL: https://arxiv.org/abs/1709.07907

zbMATH Keywords

eigenspacesalgebraic graph theoryquantum walks

Mathematics Subject Classification ID

Quantum computation (81P68) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Quantum state spaces, operational and probabilistic concepts (81P16)

Related Items (1)

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Uses Software

• SageMath

Cites Work

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• State transfer on graphs
• A new perspective on the average mixing matrix
• Perfect state transfer on distance-regular graphs and association schemes
• Average mixing of continuous quantum walks
• Uniform mixing and association schemes
• Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer
• NON-UNIFORM MIXING OF QUANTUM WALK ON CYCLES
• PERFECT, EFFICIENT, STATE TRANSFER AND ITS APPLICATION AS A CONSTRUCTIVE TOOL
• A new graph product and its spectrum

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