Hikaru Wakaura¹ and Andriyan B. Suksmono², ¹QuantScape Inc., Japan, ²Institut Teknologi Bandung, Indonesia

The time crystal is a well-known phenomenon observed in any quantum Floquet system. Time Crystal is a phenomenon in which the states of the system propagate spontaneously, saving time-reversal symmetry. It is one of many body localisations that prolong the lifetime of quantum states. However, it is destroyed by the operation from external environments such as gate operations. Therefore, we propose the method to Control the Time Crystal by modifying the Hamiltonian and driving noise conserving time-reversal symmetry. As a result, the method demonstrated the simple gate operations, Grover's, and Quantum Fourier Transformation algorithms by Time Crystal. We also demonstrated adiabatic Grover's and Shor's algorithm.

Quantum computing, Quantum algorithm, Time Crystal