Arbitrary quantum circuits on a fully integrated two-qubit computation register for a trapped-ion quantum processor

We report on the implementation of arbitrary circuits on a universal two-qubit register that can act as the computational module in a trapped-ion quantum computer based on the quantum charge-coupled device architecture. A universal set of quantum gates is implemented on a two-ion Coulomb crystal of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mmultiscripts><a:mi>Be</a:mi><a:none/><a:mo>+</a:mo><a:mprescripts/><a:none/><a:mn>9</a:mn></a:mmultiscripts></a:math> ions using only chip-integrated microwave addressing. Individual-ion addressing is implemented using microwave micromotion sideband transitions; we obtain upper limits on addressing crosstalk in the register. Arbitrary two-qubit operations are characterized using the cycle benchmarking protocol.