Quantum walks on simplexes and multiple perfect state transfer

DOI10.1088/1751-8121/AD034AarXiv2210.13106OpenAlexW4387606056MaRDI QIDQ6059139

Satoshi Tsujimoto, Da Zhao, Hiroshi Miki

Publication date: 2 November 2023

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.13106

zbMATH Keywords

association schemeextensionquantum walkperfect state transfer

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Association schemes, strongly regular graphs (05E30) Algebraic field extensions (12F05) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Quantum state spaces, operational and probabilistic concepts (81P16)

Cites Work

• Unnamed Item
• Unnamed Item
• State transfer on graphs
• Universal state transfer on graphs
• Perfect state transfer on oriented graphs
• Quantum walks and the size of the graph
• Universality in perfect state transfer
• The multivariate Krawtchouk polynomials as matrix elements of the rotation group representations on oscillator states
• A Lie-theoretic interpretation of multivariate hypergeometric polynomials
• Spin Chains, Graphs and State Revival
• Association Schemes for Ordered Orthogonal Arrays and (T, M, S)-Nets
• (𝑛+1,𝑚+1)-hypergeometric functions associated to character algebras

This page was built for publication: Quantum walks on simplexes and multiple perfect state transfer