Four decades ago development of high-current superconducting NbTi wire cables revolutionized the magnet technology for energy frontier accelerators, such as Tevatron, RHIC and LHC. The NbTi based magnets offered advantage of much higher fields B and much lower electric wall plug power consumption if operated at 4.5 K but relatively small ramping rates dB/dt << 0.1 T/s. The need for the accelerators of high average beam power and high repetition rates have initiated studies of fast ramping SC magnets, but it was found the AC losses in the low-temperature superconductors preclude obtaining the rates in the excess of (1-4) T/s. Here we report the first application of high-temperature superconductor magnet technology with substantially lower AC losses and report record high ramping rates of 12 T/s achieved in a prototype dual-aperture accelerator magnet.Particle accelerators critically depend on development of high-field superconducting (SC) magnets 1,2,3 which allow to extend the energy reach and achieve desired cost and electric power efficiency of major physics facilities such as Tevatron at Fermilab 4 -the pioneering machne in operation from 1987 to 2011, Relativistic Heavy Ion Collider 5 (RHIC, 1999 -now) at Brookhaven National Laboratory, and Large Hadron Collider 6 (LHC) at CERN, Switzerland which operates since 2008. Note, that all these accelerators mostly operate in the regime of very slow beam energy ramp and their magnetic field ramping rates dB/dt are very low, 0.03 -0.07 T/s. Next generation facilities such as muon colliders 7,8 , future circular colliders 9 and high-intensity proton synchrotrons for neutrino research 10,11,12,13 accelerators demand substantially faster cycles of beam acceleration that in turn require fast cycling accelerator magnets with dB/dt of the order of tens to hundreds of T/s. Normal conducting magnets can provide such rates -for example the JPARC 3GeV proton rapid cycling synchrotron (RCS) magnets operate with dB/dt rates of 70 T/s 14 -but 1