The genetics of floral development in wheat.

1960/01/01 by Takuya Kitagawa, Matthew A. Broome, Alessandro Fedrizzi +10 · 25 citations
Agricultural and Biological Sciences · Chemistry · Materials Science · Mathematics · Physics and Astronomy · #Biology #Bound state #Chemistry #Crop Yield and Soil Fertility #Evolutionary biology #Genetics #Graphene research and applications #Mathematics #Photonics #Physics #Quantum #Quantum and electron transport phenomena #Quantum computer #Quantum mechanics #Quantum walk #Robustness (evolution) #Symmetry protected topological order #Topological Materials and Phenomena #Topological degeneracy #Topological insulator #Topological order #Topology (electrical circuits) #Wheat and Barley Genetics and Pathology #cond-mat.mes-hall #physics.optics #quant-ph

paper · pdf · doi:10.1038/ncomms1872

published as Nature Communications 3, 882, 2012 · 4.5 pages + Appendix

openalex publication_date 1960/01/01 · arxiv created 2011/05/26 · arxiv updated 2012/08/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/06/16

Abstract

Topological phases exhibit some of the most striking phenomena in modern physics. Much of the rich behaviour of quantum Hall systems, topological insulators, and topological superconductors can be traced to the existence of robust bound states at interfaces between different topological phases. This robustness has applications in metrology and holds promise for future uses in quantum computing. Engineered quantum systems--notably in photonics, where wavefunctions can be observed directly--provide versatile platforms for creating and probing a variety of topological phases. Here we use photonic quantum walks to observe bound states between systems with different bulk topological properties and demonstrate their robustness to perturbations--a signature of topological protection. Although such bound states are usually discussed for static (time-independent) systems, here we demonstrate their existence in an explicitly time-dependent situation. Moreover, we discover a new phenomenon: a topologically protected pair of bound states unique to periodically driven systems.

Citations

• Topological insulators and superconductors
• Fractional Quantum Hall States of Atoms in Optical Lattices
• Topological Insulators
• Fault-tolerant quantum computation by anyons
• Non-Abelian anyons and topological quantum computation

Cited by

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• Higher-order band topology
• Controllable simulation of topological phases and edge states with quantum walk
• Statistical moments of quantum-walk dynamics reveal topological quantum transitions
• Random-walk topological transition revealed via electron counting
• Reversion of Quantum Walks via interventions on coin space
• Extrinsic topology of Floquet anomalous boundary states in quantum walks
• Complete classification of trapping coins for quantum walks on the two-dimensional square lattice
• Measuring Chern numbers in Hofstadter strips
• Multiparticle Quantum Walks and Fisher Information in One-Dimensional Lattices
• Quantum dynamics on a lossy non-Hermitian lattice*
• Floquet–Weyl and Floquet-topological-insulator phases in a stacked two-dimensional ring-network lattice
• Topological Transitions and Fractional Charges Induced by Strain and a Magnetic Field in Carbon Nanotubes
• Shannon Entropy and Diffusion Coefficient in Parity-Time Symmetric Quantum Walks
• Fidelity susceptibility near topological phase transitions in quantum walks
• Dissipative Floquet Majorana Modes in Proximity-Induced Topological Superconductors
• Topological Quantum Walks in Momentum Space with a Bose-Einstein Condensate
• Generation of hybrid maximally entangled states in a one-dimensional quantum walk
• Quantum walks of two interacting anyons in one-dimensional optical lattices
• Disordered Chern insulator with a two-step Floquet drive
• Floquet-Boltzmann equation for periodically driven Fermi systems
• Chiral symmetry and bulk-boundary correspondence in periodically driven one-dimensional systems