Irrational Quantum Walks
DOI10.1137/22m1521262zbMath1530.81040arXiv2208.08971OpenAlexW4385253600MaRDI QIDQ6116683
Gabriel Coutinho, Chris D. Godsil, Unnamed Author, Thomás Jung Spier, Reinhard F. Werner
Publication date: 16 August 2023
Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.08971
Quantum computation (81P68) Estimates of eigenvalues in context of PDEs (35P15) Hamilton's equations (70H05) Ergodicity, mixing, rates of mixing (37A25) Classical almost periodic functions, mean periodic functions (42A75) Transport processes in time-dependent statistical mechanics (82C70) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Random walks on graphs (05C81) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)
Cites Work
- Factoring polynomials with rational coefficients
- A new perspective on the average mixing matrix
- Quantum walks do not like bridges
- Pretty good quantum state transfer in asymmetric graphs via potential
- Average mixing of continuous quantum walks
- Pretty good state transfer on circulant graphs
- Para-Krawtchouk polynomials on a bi-lattice and a quantum spin chain with perfect state transfer
- Pretty good state transfer in qubit chains—The Heisenberg Hamiltonian
- Foundations of Ergodic Theory
- NON-UNIFORM MIXING OF QUANTUM WALK ON CYCLES
- Factoring Polynomials over Algebraic Number Fields
- Quantum Theory for Mathematicians
- A Simplified Constructive Proof of the Existence and Uniqueness of Haar Measure.
- Strong Uniformity and Large Dynamical Systems
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