Demonstration of an entangling gate between non-interacting qubits using the quantum Zeno effect

The quantum Zeno effect occurs in systems when frequent measurements are applied to effectively freeze the system dynamics, holding it at an eigenstate of the measurement observable. The measurements divide the Hilbert space into subspaces with distinct eigenvalues of the measured observable, and give rise to 'Zeno dynamics' within each. Transitions between subspaces are suppressed by measurement, but the evolution inside each subspace is completely coherent. We show that Zeno dynamics can deterministically create entanglement between two

non-interacting qubits in a process we call Zeno gate. We demonstrate the Zeno gate on two

transmons far detuned from each other and coupled to a 3D cavity that acts as a non-local measurement device. We study the dynamics of the system and model it using the Lindblad master equation.