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Due to strong zero-phonon line emission, narrow inhomogeneous broadening, andstable optical transition frequencies, the quantum system consisting ofnegatively charged silicon-vacancy (SiV) centers in diamond is highly expectedto develop universal quantum computation. We propose to implement quantumcomputation for the first time using SiV centers placed in a one-dimensionalphononic waveguide, for which quantum gates are realized in a nonadiabaticgeometric way and protected by dynamical decoupling (DD). The scheme has thefeature of geometric quantum computation that is robust to control errors andthe advantage of DD that is insensitive to environmental impact. Furthermore,the encoding of qubits in long-lifetime ground states of silicon-vacancycenters can reduce the effect of spontaneous emission. Numerical simulationsdemonstrate the practicability of the SiV center system for quantum computationand the robustness improvement of quantum gates by DD pulses. This scheme mayprovide a promising path toward high-fidelity geometric quantum computation insolid-state systems.

Quantum computation in silicon-vacancy centers based on nonadiabatic geometric gates protected by dynamical decoupling