Results 11 to 20 of about 176,214 (315)
Joint entanglement of topology and polarization enables error-protected quantum registers [PDF]
New Journal of Physics, 2018 Linear-optical systems can implement photonic quantum walks that simulate systems with nontrivial topological properties. Here, such photonic walks are used to jointly entangle polarization and winding number.
David S Simon +2 more
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Edge States, Bulk Spectra, and Topological Phases of Szegedy’s Quantum Search on a One-Dimensional Cycle with Self-Loops [PDF]
EntropyTopological transitions are relevant for boundary conditions. Therefore, we investigate the bulk spectra, edge states, and topological phases of Szegedy’s quantum search on a one-dimensional (1D) cycle with self-loops, where the search operator can be ...
Mengke Xu +4 more
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Fractional quantum Hall effect in topological flat bands with Chern number two
Physical Review B, 2012 Recent theoretical works have demonstrated various robust Abelian and non-Abelian fractional topological phases in lattice models with topological flat bands carrying Chern number C=1. Here we study hard-core bosons and interacting fermions in a three-band triangular-lattice model with the lowest topological flat band of Chern number C=2.
Yi-Fei Wang +3 more
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Zero modes of velocity field and topological invariant in quantum torus
Results in Physics, 2021 We propose a velocity field approach to characterize topological invariants of quantum states. We introduce the indexes of the velocity field flow based on the zero modes of the velocity field and find that these zero modes play the role of the effective
Annan Fan, Shi-Dong Liang
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Measurement of Spin Chern Numbers in Quantum Simulated Topological Insulators [PDF]
Physical Review Letters, 2021 12 pages, 9 ...
Qing-Xian Lv +11 more
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Stabilizing multiple topological fermions on a quantum computer
npj Quantum Information, 2022 In classical and single-particle settings, non-trivial band topology always gives rise to robust boundary modes. For quantum many-body systems, however, multiple topological fermions are not always able to coexist, since Pauli exclusion prevents ...
Jin Ming Koh +4 more
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Multi-critical topological transition at quantum criticality
Scientific Reports, 2021 The investigation and characterization of topological quantum phase transition between gapless phases is one of the recent interest of research in topological states of matter.
Ranjith R. Kumar +3 more
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Connectomes and properties of quantum entanglement
Journal of High Energy Physics, 2023 Topological quantum field theories (TQFT) encode properties of quantum states in the topological features of abstract manifolds. One can use the topological avatars of quantum states to develop intuition about different concepts and phenomena of quantum ...
Dmitry Melnikov
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TOPOLOGICAL QUANTUM NUMBERS AND CURVATURE — EXAMPLES AND APPLICATIONS [PDF]
International Journal of Geometric Methods in Modern Physics, 2009 Using the idea of the degree of a smooth mapping between two manifolds of the same dimension we present here the topological (homotopical) classification of the mappings between spheres of the same dimension, vector fields, monopole and instanton solutions.
Marek Biesiada +2 more
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Physical Review Research, 2022 Identifying entanglement-based order parameters characterizing topological systems, in particular topological superconductors and topological insulators, has remained a major challenge for the physics of quantum matter in the last two decades.
Alfonso Maiellaro +2 more
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