Universal state transfer on graphs

DOI10.1016/j.laa.2014.05.004zbMath1291.05118arXiv1310.3885OpenAlexW2962823796MaRDI QIDQ2015084

Christino Tamon, Leah Granger, Sunrose Shrestha, Oliver Hennigh, Shannon Fehrenbach, Stephen P. Cameron

Publication date: 18 June 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.3885

zbMATH Keywords

circulantsquantum walkgain graphsswitching automorphisms

Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Matrix exponential and similar functions of matrices (15A16)

Related Items

Universality in perfect state transfer, Quantum walks on simplexes and multiple perfect state transfer, Quantum state transfer on integral oriented circulant graphs, Entanglement transfer via chiral and continuous-time quantum walks on a triangular chain, Why and how to add direction to a quantum walk, Perfect state transfer on oriented graphs, Swift chiral quantum walks, Pretty good state transfer on Cayley graphs over dihedral groups, Quantum state transfer on a class of circulant graphs, Oriented gain graphs, line graphs and eigenvalues, Pretty good state transfer of entangled states through quantum spin chains, Topological classification of time-asymmetry in unitary quantum processes

Cites Work

• Type-II matrices and combinatorial structures
• Periodic graphs
• State transfer on graphs
• Pretty good state transfer on double stars
• Exponential algorithmic speedup by a quantum walk
• The Minimal Polynomials of sin () and cos ()
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