Measurement-Based Entanglement Protocol for Cavity-Coupled Silicon Spin Qubits*

Measurement-based entanglement (MBE) allows for the preparation of entangled qubits without a need for direct coupling between those qubits. MBE has been demonstrated using superconducting qubits coupled to a microwave cavity [1]. Spin photon interactions [2] and resonant cavity-mediated spin-spin interactions [3] have been demonstrated with silicon spin qubits in a circuit quantum electrodynamics architecture. Here we theoretically examine the feasibility of using MBE protocols to generate long-ranged entanglement of electron spins. We use the method of quantum trajectories to simulate the evolution of two qubits and a cavity subjected to a continuous homodyne parity measurement. From these simulations, we determine what device parameter modifications and microwave readout efficiencies are required to perform an MBE experiment with silicon spin qubits.

[1] D. Ristè et al., Nature 502, 350 (2013).

[2] X. Mi et al., Nature 555, 599 (2018).

[3] F. Borjans et al., Nature 577, 195 (2020).