Physics

Dr. Shiroman Prakash
Dayalbagh Institute, Agra

Abstract :  

Is there a feature of quantum mechanics responsible for the power of quantum computation? What are the minimal conditions that must be met to physically construct a large-scale fault tolerant quantum computer? Magic state distillation (MSD) is a promising approach to fault-tolerant quantum computation that provides a natural framework to answer both these questions. In particular, by applying MSD to
qudits, Howard et al.  identified contextuality – an abstract generalization of non-locality – as a necessary resource for quantum computation. But is contextuality also sufficient? Here, we show that,for any MSD routine based on a finite stabilizer code; there exist
bound states that exhibit contextuality but are use- less for magic state distillation. Our result implies that contextuality is not a sufficient condition for quantum computing, at least for finite MSD protocols.