Scattering and inverse scattering for nonlinear quantum walks
暂无分享,去创建一个
Etsuo Segawa | Akito Suzuki | Masaya Maeda | Hironobu Sasaki | Kanako Suzuki | E. Segawa | A. Suzuki | Masaya Maeda | Hironobu Sasaki | Kanako Suzuki
[1] R. Feynman,et al. Quantum Mechanics and Path Integrals , 1965 .
[2] Cathleen S. Morawetz,et al. On a nonlinear scattering operator , 1973 .
[3] Walter A. Strauss,et al. Nonlinear Scattering Theory , 1974 .
[4] Timothy S. Murphy,et al. Harmonic Analysis: Real-Variable Methods, Orthogonality, and Oscillatory Integrals , 1993 .
[5] D. Meyer. From quantum cellular automata to quantum lattice gases , 1996, quant-ph/9604003.
[6] Weder Ricardo,et al. Inverse scattering for the nonlinear schrodinger equation , 1997 .
[7] Andris Ambainis,et al. One-dimensional quantum walks , 2001, STOC '01.
[8] Svante Janson,et al. Weak limits for quantum random walks. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[9] Andris Ambainis,et al. Coins make quantum walks faster , 2004, SODA '05.
[10] P. Kevrekidis,et al. Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein–Gordon equations , 2004, nlin/0409009.
[11] Alexei Kitaev,et al. Anyons in an exactly solved model and beyond , 2005, cond-mat/0506438.
[12] C. Navarrete-Benlloch,et al. Nonlinear optical Galton board , 2007 .
[13] R. Carles,et al. Analyticity of the Scattering Operator for Semilinear Dispersive Equations , 2008, 0801.3774.
[14] L. Nikolova,et al. On ψ- interpolation spaces , 2009 .
[15] Dieter Meschede,et al. Quantum Walk in Position Space with Single Optically Trapped Atoms , 2009, Science.
[16] Andrew M. Childs,et al. Universal computation by quantum walk. , 2008, Physical review letters.
[17] R. Blatt,et al. Realization of a quantum walk with one and two trapped ions. , 2009, Physical review letters.
[18] A. Mielke,et al. Dispersive stability of infinite-dimensional Hamiltonian systems on lattices , 2010 .
[19] L. Grafakos. Classical Fourier Analysis , 2010 .
[20] Takuya Kitagawa,et al. Exploring topological phases with quantum walks , 2010, 1003.1729.
[21] Jöran Bergh,et al. Interpolation Spaces: An Introduction , 2011 .
[22] Hironobu Sasaki. Inverse scattering problems for the Hartree equation whose interaction potential decays rapidly , 2011, 1108.1450.
[23] An inverse scattering problem for the Klein-Gordon equation with a classical source in quantum field theory , 2011, 1101.0310.
[24] A. Schreiber,et al. Photonic quantum walks in a fiber based recursion loop , 2011 .
[25] D. Gross,et al. Index Theory of One Dimensional Quantum Walks and Cellular Automata , 2009, 0910.3675.
[26] D. Pelinovsky,et al. On the asymptotic stability of localized modes in the discrete nonlinear Schrödinger equation , 2012 .
[27] Tatsuya Tate,et al. Asymptotic behavior of quantum walks on the line , 2011, 1108.1878.
[28] Takuya Kitagawa,et al. Topological phenomena in quantum walks: elementary introduction to the physics of topological phases , 2012, Quantum Information Processing.
[29] A. Schreiber,et al. A 2D Quantum Walk Simulation of Two-Particle Dynamics , 2012, Science.
[30] Giuseppe Di Molfetta,et al. Discrete-time quantum walks: Continuous limit and symmetries , 2011, 1111.2165.
[31] Giuseppe Di Molfetta,et al. Quantum Walks in artificial electric and gravitational Fields , 2013, ArXiv.
[32] Jingbo B. Wang,et al. Physical Implementation of Quantum Walks , 2013 .
[33] Hideaki Obuse,et al. Bulk-boundary correspondence for chiral symmetric quantum walks , 2013, 1303.1199.
[34] Tatsuaki Wada,et al. Discrete-time quantum walk with feed-forward quantum coin , 2013, Scientific Reports.
[35] Sauro Succi,et al. Quantum lattice Boltzmann is a quantum walk , 2015, 1504.03158.
[36] Hyunchul Nha,et al. Quantum walk as a simulator of nonlinear dynamics: Nonlinear Dirac equation and solitons , 2015, 1512.08358.
[37] A. H. Werner,et al. Bulk-edge correspondence of one-dimensional quantum walks , 2015, 1502.02592.
[38] Hironobu Sasaki. Small Data Scattering for the One-Dimensional Nonlinear Dirac Equation with Power Nonlinearity , 2015 .
[39] Giuseppe Di Molfetta,et al. Nonlinear optical Galton board: Thermalization and continuous limit. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.
[40] Etsuo Segawa,et al. Sensitivity of quantum walks to boundary of two-dimensional lattices: approaches from the CGMV method and topological phases , 2016 .
[41] Akito Suzuki,et al. Asymptotic velocity of a position-dependent quantum walk , 2015, Quantum Inf. Process..
[42] B. Tarasinski,et al. Attractor-repeller pair of topological zero modes in a nonlinear quantum walk , 2015, 1511.06657.
[43] M. Brachet,et al. Quantum walks and non-Abelian discrete gauge theory , 2016, 1605.01605.
[44] Fabrice Debbasch,et al. Quantum walks and discrete gauge theories , 2016 .
[45] Etsuo Segawa,et al. Weak limit theorem for a nonlinear quantum walk , 2018, Quantum Inf. Process..