Localization of the Grover Walks on Spidernets and Free Meixner Laws
暂无分享,去创建一个
[1] H. Urakawa. The Cheeger Constant, the Heat Kernel, and the Green Kernel of an Infinite Graph , 2003 .
[2] Norio Konno,et al. Quantum Random Walks in One Dimension , 2002, Quantum Inf. Process..
[3] Dieter Meschede,et al. Quantum Walk in Position Space with Single Optically Trapped Atoms , 2009, Science.
[4] One-mode interacting Fock spaces and random walks on graphs , 2012 .
[5] Alain Joye,et al. Dynamical Localization of Quantum Walks in Random Environments , 2010, 1004.4130.
[6] Andris Ambainis,et al. Coins make quantum walks faster , 2004, SODA '05.
[7] Etsuo Segawa,et al. Limit Theorems for Discrete-Time Quantum Walks on Trees , 2009, 0903.4508.
[8] D. Meyer. From quantum cellular automata to quantum lattice gases , 1996, quant-ph/9604003.
[9] Norio Konno,et al. Limit distributions of two-dimensional quantum walks , 2008, 0802.2749.
[10] M. Szegedy,et al. Quantum Walk Based Search Algorithms , 2008, TAMC.
[11] Norio Konno,et al. A new type of limit theorems for the one-dimensional quantum random walk , 2002, quant-ph/0206103.
[12] Tatsuya Tate,et al. Asymptotic behavior of quantum walks on the line , 2011, 1108.1878.
[13] Naoko Saitoh,et al. THE INFINITE DIVISIBILITY AND ORTHOGONAL POLYNOMIALS WITH A CONSTANT RECURSION FORMULA IN FREE PROBBnITY THEORY , 2008 .
[14] P. Deift. Orthogonal Polynomials and Random Matrices: A Riemann-Hilbert Approach , 2000 .
[15] Salvador Elías Venegas-Andraca,et al. Quantum Walks for Computer Scientists , 2008, Quantum Walks for Computer Scientists.
[16] F. A. Grunbaum,et al. One-Dimensional Quantum Walks with One Defect , 2010, 1010.5762.
[17] Etsuo Segawa,et al. Localization of discrete-time quantum walks on a half line via the CGMV method , 2010, 1008.5109.
[18] A. Hora,et al. Quantum Probability and Spectral Analysis of Graphs , 2007 .
[19] F. A. Grunbaum,et al. Matrix‐valued Szegő polynomials and quantum random walks , 2009, 0901.2244.
[20] Hosho Katsura,et al. Localization and fractality in inhomogeneous quantum walks with self-duality. , 2010, Physical review. E, Statistical, nonlinear, and soft matter physics.
[21] Etsuo Segawa,et al. Limit measures of inhomogeneous discrete-time quantum walks in one dimension , 2011, Quantum Inf. Process..
[22] John Watrous. Quantum Simulations of Classical Random Walks and Undirected Graph Connectivity , 2001, J. Comput. Syst. Sci..
[23] Andris Ambainis,et al. QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS , 2003, quant-ph/0403120.
[24] Volkher B. Scholz,et al. Disordered Quantum Walks in one lattice dimension , 2011, 1101.2298.
[25] T. Chihara,et al. An Introduction to Orthogonal Polynomials , 1979 .
[26] A. H. Werner,et al. Recurrence for Discrete Time Unitary Evolutions , 2012, 1202.3903.
[27] Harry Kesten,et al. Symmetric random walks on groups , 1959 .
[28] Etsuo Segawa,et al. One-dimensional three-state quantum walk. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[29] On a class of free Lévy laws related to a regression problem , 2004, math/0410601.
[30] U. Smilansky,et al. Quantum graphs: Applications to quantum chaos and universal spectral statistics , 2006, nlin/0605028.
[31] Etsuo Segawa,et al. Localization of quantum walks induced by recurrence properties of random walks , 2011, 1112.4982.
[32] Andris Ambainis,et al. One-dimensional quantum walks , 2001, STOC '01.
[33] Aharonov,et al. Quantum Walks , 2012, 1207.7283.