Superposition of Macroscopically Distinct States in Adiabatic Quantum Computation

التفاصيل البيبلوغرافية
العنوان: Superposition of Macroscopically Distinct States in Adiabatic Quantum Computation
المؤلفون: Yuge, Tatsuro
سنة النشر: 2017
المجموعة: Condensed Matter
Quantum Physics
مصطلحات موضوعية: Quantum Physics, Condensed Matter - Statistical Mechanics
الوصف: What are the conditions for adiabatic quantum computation (AQC) to outperform classical computation? Although there exist several quantum adiabatic algorithms achieving the strong quantum speedup, the essential keys to their speedups are still unclear. Here, we investigate the connection between superpositions of macroscopically distinct states and known examples of the speedup in AQC. To formalize this notion we consider an index $p$ that quantifies a superposition of macroscopically distinct states from the asymptotic behaviors of fluctuations of additive observables. We determine this index for five examples of adiabatic algorithms exhibiting various degrees of the speedup. The results suggest that the superposition of macroscopically distinct states is an appropriate indicator of entanglement crucial to the strong quantum speedup in AQC.
Comment: 15 pages, 1 figure
نوع الوثيقة: Working Paper
DOI: 10.7566/JPSJ.87.124002
URL الوصول: http://arxiv.org/abs/1705.08117
رقم الأكسشن: edsarx.1705.08117
قاعدة البيانات: arXiv