Entangling quantum gate in trapped ions via Rydberg blockade
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We present a theoretical analysis of the implementation of an entangling quantum gate between two trapped Ca+ ions which is based on the dipolar interaction among ionic Rydberg states. In trapped ions, the Rydberg excitation dynamics is usually strongly affected by mechanical forces due to the strong couplings between electronic and vibrational degrees of freedom in inhomogeneous electric fields. We demonstrate that this harmful effect can be overcome using dressed states that emerge from the microwave coupling of nearby Rydberg states. At the same time. these dressed states exhibit long-range dipolar interactions which we use to implement a controlled adiabatic phase gate. Our study highlights a route toward a trapped ion quantum processor in which quantum gates are realized independently of the vibrational modes.
KeywordsPhonon Mode Rabi Frequency Rydberg State Phase Gate Control Phase Gate
Discussions with all members of the R-ION consortium are kindly acknowledged. We thank D. Viscor, C. Ates and S. Genway for careful reading of the manuscript. This work is funded through EPSRC and the ERA-NET CHIST-ERA (R-ION consortium). WL is supported through the Nottingham Research Fellowship by the University of Nottingham.