التفاصيل البيبلوغرافية
| العنوان: |
Quantum walk on a chimera graph |
| المؤلفون: |
Xu, Shu, Sun, Xiangxiang, Wu, Jizhou, Zhang, Wei-Wei, Arshed, Nigum, Sanders, Barry C. |
| سنة النشر: |
2017 |
| المجموعة: |
Quantum Physics |
| مصطلحات موضوعية: |
Quantum Physics |
| الوصف: |
We analyze a continuous-time quantum walk on a chimera graph, which is a graph of choice for designing quantum annealers, and we discover beautiful quantum-walk features such as localization that starkly distinguishes classical from quantum behavior. Motivated by technological thrusts, we study continuous-time quantum walks on enhanced variants of the chimera graph and on a diminished chimera graph with a random removal of sites. We explain the quantum walk by constructing a generating set for a suitable subgroup of graph isomorphisms and corresponding symmetry operators that commute with the quantum-walk Hamiltonian; the Hamiltonian and these symmetry operators provide a complete set of labels for the spectrum and the stationary states. Our quantum-walk characterization of the chimera graph and its variants yields valuable insights into graphs used for designing quantum-annealers. |
| نوع الوثيقة: |
Working Paper |
| DOI: |
10.1088/1367-2630/aab701 |
| URL الوصول: |
http://arxiv.org/abs/1705.11036 |
| رقم الانضمام: |
edsarx.1705.11036 |
| قاعدة البيانات: |
arXiv |