Quantum recurrence of a subspace and operator-valued Schur functions
From MaRDI portal
Publication:2249776
DOI10.1007/s00220-014-1929-9zbMath1296.37014arXiv1302.7286OpenAlexW1987160642MaRDI QIDQ2249776
L. Velázquez, Jon Wilkening, Jean Bourgain, F. Alberto Gruenbaum
Publication date: 3 July 2014
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.7286
Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Infinite-dimensional dissipative dynamical systems (37L99)
Related Items
Quantum intermittency for sparse CMV matrices with an application to quantum walks on the half-line, Prediction theory for stationary functional time series, Mean hitting time formula for positive maps, Site recurrence of open and unitary quantum walks on the line, An urn model for the Jacobi-Piñeiro polynomials, Almost everything about the unitary almost Mathieu operator, Singular continuous Cantor spectrum for magnetic quantum walks, Open quantum random walks on the half-line: the Karlin-McGregor formula, path counting and Foster's theorem, A condition for purely absolutely continuous spectrum for CMV operators using the density of states, A generalization of Schur functions: applications to Nevanlinna functions, orthogonal polynomials, random walks and unitary and open quantum walks, Quantum walks, Resolvent Methods for Quantum Walks with an Application to a Thue–Morse Quantum Walk, A nonlinear quantum walk induced by a quantum graph with nonlinear delta potentials, Open quantum random walks: ergodicity, hitting times, gambler's ruin and potential theory, Spectral characteristics of the unitary critical almost-Mathieu operator, Dynamics of unitary operators, Spreading estimates for quantum walks on the integer lattice via power-law bounds on transfer matrices, Quantum Markov chains: recurrence, Schur functions and splitting rules, A Quantum Dynamical Approach to Matrix Khrushchev's Formulas, Open quantum random walks, quantum Markov chains and recurrence, Occupation time for classical and quantum walks, Quantum walks: Schur functions meet symmetry protected topological phases, Mean hitting times of quantum Markov chains in terms of generalized inverses, On a class of quantum channels, open random walks and recurrence, Quantized dynamics in closed quantum systems, Randomly repeated measurements on quantum systems: correlations and topological invariants of the quantum evolution
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Classification theorems for general orthogonal polynomials on the unit circle
- The CGMV method for quantum walks
- One-dimensional quantum walks with absorbing boundaries
- Five-diagonal matrices and zeros of orthogonal polynomials on the unit circle
- Recurrence for discrete time unitary evolutions
- CMV matrices: Five years after
- Minimal representations of unitary operators and orthogonal polynomials on the unit circle
- ONE-DIMENSIONAL QUANTUM WALKS WITH ONE DEFECT
- Quantum random walk on the integer lattice: examples and phenomena
- Some Perspectives on the Eigenvalue Problem
- The Analytic Theory of Matrix Orthogonal Polynomials
- Quantal phase factors accompanying adiabatic changes
- Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle
- One-dimensional quantum walks
- Matrix-valued SzegoÌ polynomials and quantum random walks
- On boundary interpolation for matrix valued Schur functions
- OPUC on one foot
- Schur's algorithm, orthogonal polynomials, and convergence of Wall's continued fractions in \(L^2(\mathbb{T})\).