Entanglement Properties of Localized States in 1D Topological Quantum Walks

التفاصيل البيبلوغرافية
العنوان: Entanglement Properties of Localized States in 1D Topological Quantum Walks
المؤلفون: Chandrashekar, C. M., Obuse, H., Busch, Th.
سنة النشر: 2015
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Disordered Systems and Neural Networks, Condensed Matter - Mesoscale and Nanoscale Physics
الوصف: The symmetries associated with discrete-time quantum walks (DTQWs) and the flexibilities in controlling their dynamical parameters allow to create a large number of topological phases. An interface in position space, which separates two regions with different topological numbers, can, for example, be effectively modelled using different coin parameters for the walk on either side of the interface. Depending on the neighbouring numbers, this can lead to localized states in one-dimensional configurations and here we carry out a detailed study into the strength of such localized states. We show that it can be related to the amount of entanglement created by the walks, with minima appearing for strong localizations. This feature also persists in the presence of small amounts of $\sigma_x$ (bit flip) noise.
Comment: 8 pages, 12 figures, v2 : results unchanged, improved presentation
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1502.00436
رقم الانضمام: edsarx.1502.00436
قاعدة البيانات: arXiv