Two-dimensional quantum walk with position-dependent phase defects

DOI10.1007/S11128-014-0775-1zbMath1305.81103OpenAlexW2033923248MaRDI QIDQ488166

Peng Xue, Rong Zhang

Publication date: 23 January 2015

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11128-014-0775-1

zbMATH Keywords

recurrencequantum walklocalization effectphase defect

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50) Quantum stochastic calculus (81S25) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (3)

One-dimensional three-state quantum walk with single-point phase defects ⋮ One-dimensional quantum walks with a time and spin-dependent phase shift ⋮ Influence of generic quantum coins on the spreading and entanglement in binary aperiodic quantum walks

Cites Work

• Localization of an inhomogeneous discrete-time quantum walk on the line
• Continuity of the scattering function and Levinson-type formula of Klein-Gordon equation
• Exponential algorithmic speedup by a quantum walk
• Quantum walks in higher dimensions
• QUANTUM WALKS AND THEIR ALGORITHMIC APPLICATIONS
• Matrix-valued SzegoÌ polynomials and quantum random walks

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