  Producing and maintaining entanglement reside at the heart of the optimal
construction of quan- tum operations and are fundamental issues in the
realization of universal quantum computation. We here introduce a setup of spin
qubits that allows for geometric implementation of entangling gates between the
register qubits with any arbitrary entangling power. We show this by demon-
strating a circuit through a spin chain, which performs universal nonadiabatic
holonomic two-qubit entanglers. The proposed gates are all electric and
geometric, which would help to realize fast and robust entangling gates on spin
qubits. This family of entangling gates contains gates that are as efficient as
the CNOT gate in quantum algorithms. We examine the robustness of the circuit
to some extent.

Quantum Physics