supported by the National Natural Science Foundation of China(Grant No.12174224)。
Nonadiabatic holonomic quantum computers serve as the physical platform for nonadiabatic holonomic quantum computation.As quantum computation has entered the noisy intermediate-scale era,building accurate intermediate...
supported by a Marie Curie Career Integration Grant(No.FP7-PEOPLE-2011-CIG,No.PCI09-GA-2011-290823);the FCT(Portugal)with European Regional Development Fund(COMPETE);national funds through the project PTDC/MAT/098770/2008
The author surveys Connes' results on the longitudinal Laplace operator along a(regular) foliation and its spectrum, and discusses their generalization to any singular foliation on a compact manifold. Namely, it is pr...
Supported by National Natural Science Foundation of China(Grant No.11071176)
In this paper, we generalize the construction of the inverse transgression map done by Adem, A., Ruan, Y. and Zhang, B. in [A stringy product on twisted orbifold K-theory. Morfismos, 11, 33 64 (2007)] and give a dif...
This work was supported partly by the National Natural Science Foundation of China (Grant No. 10101002).
A stochastic holonomy along a loop obtained from the OU process on the path space over acompact Riemannian manifold is computed. The result shows that the stochastic holonomy just gives theparallel transport with resp...