Realizing multi-qubit controlled nonadiabatic holonomic gates with connecting systems

• Published in: AAPPS bulletin 2022-05, Vol.32 (1), p.1-7, Article 13
• Main Authors: Xu, G. F., Tong, D. M.
• Format: Article
• Language: English
• Subjects: Astronomy; Astrophysics and Cosmology; Atomic; Molecular; Non-Abelian geometric phases; Nonadiabatic holonomic gates; Optical and Plasma Physics; Original Article; Particle and Nuclear Physics; Physics; Physics and Astronomy; Quantum computation
• ISSN: 2309-4710; 2309-4710
• DOI: 10.1007/s43673-022-00043-6

Multi-qubit controlled gates are frequently used in quantum information processing. Although they can be built with gates from the universal set of one- and two-qubit gates, this procedure typically becomes very demanding as the number of such gates rapidly grows with the size of the computational problem. Thus, finding a way to realize them with fewer steps and therefore with reduced decoherence errors is important. Particularly, quantum information is entering noisy intermediate-scale quantum era and in this era, quantum computers do not have enough resources for full fault tolerance and therefor can only support the computation with a short duration. This makes the reduction of the steps even more important. Here, we propose the realization of multi-qubit controlled nonadiabatic holonomic gates with connecting systems. Our proposal can efficiently reduce the operation steps of the realization, thereby reducing the affection from decoherence and increasing the precision of the computation. So, it is useful to realize efficient and robust quantum information processors.