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Fluoride crystals doped with rare-earth ions (REI) and pair centers indiamond for fast ($10^{-9}\rm{s}$) quantum computers (FQC) are proposed. Asspecific systems for REI doping, we propose $Ca_{1-x}Sr_{x}F_{2}$ crystals andtheir analogues. The $^{4}f$-states with different total orbital angularmoments of these ions serve as two-level systems (qubits). Suitable REIs areproposed as well. It is established that the pair $SiV$ and $GeV$ centers indiamond are promising systems for fast optical quantum computers operating atelevated temperatures.

Fast qubits of optical frequencies on the rare-earth ions in fluoride crystals and color centers in diamond