Freiburg 2019 – scientific programme

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FM: Fall Meeting

FM 14: Quantum Computation: Hardware Platforms I

FM 14.6: Talk

Monday, September 23, 2019, 15:30–15:45, 3044

Fast universal holonomic manipulation of a two-qubit register — •Vlad Shkolnikov and Guido Burkard — Department of Physics, University of Konstanz, D-78457 Konstanz, Germany

Geometric phases arising from cyclic evolution of quantum systems open new strategies for quantum technologies. Here we consider theoretically the perspective to use these phases to achieve universal control over the defect registers in diamond. In particular we focus on the electron spin of a nitrogen-vacancy center coupled to the nuclear spin of a neighbouring carbon-13 atom. By tuning the system first to the ground state level anticrossing and then mixing the electronic m_s=0 and m_s=−1 levels, we achieve that the nuclear spin quantization axis becomes dependent on the state of the electron spin. This allows one to perform hyperfine assisted universal set of holonomic gates on this two qubit register using microwave tones only. This has a clear advantage over the conventional methods that use radio frequency pulses to couple to the nuclear spin due to its low gyromagnetic ratio. We will discuss the pulse protocols to realize the set of gates necessary for universal computation and show how one can initialize and read out the system in our scheme.