Scalable global entangling gates on arbitrary ion qubits

Understand

A quantum algorithm can be decomposed into a sequence consisting of single qubit and 2-qubit entangling gates.

• To optimize the decomposition and achieve more efficient construction of the quantum circuit, we can replace multiple 2-qubit gates with a single global entangling gate.
• Here, we propose and implement a scalable scheme to realize the global entangling gates on multiple $\yb$ ion qubits by coupling to multiple motional modes through external fields.
• Such global gates require simultaneously decoupling of multiple motional modes and balancing of the coupling strengths for all the qubit-pairs at the gate time.