  Quantum technologies such as quantum sensing, quantum imaging, quantum
communications, and quantum computing rely on the ability to actively
manipulate the quantum state of light and matter. Quantum emitters, such as
color centers trapped in solids, are a useful platform for the realization of
elementary building blocks (qubits) of quantum information systems. In
particular, the modular nature of such solid-state devices opens up the
possibility to connect them into quantum networks and create non-classical
states of light shared among many qubits. The function of a quantum network
relies on efficient and controllable interactions among individual qubits. In
this context, we present a scheme where optically active qubits of differing
excitation energies are mutually coupled via a dispersive interaction with a
shared mode of an optical cavity. This generally off-resonant interaction is
prohibitive of direct exchange of information among the qubits. However, we
propose a scheme in which by acoustically modulating the qubit excitation
energies it is in fact possible to tune to resonance a pre-selected pair of
qubits and thus open a communication channel between them. This method
potentially enables fast ($\sim$ns) and parallelizable on-demand control of a
large number of physical qubits. We develop an analytical and a numerical
theoretical model demonstrating this principle and suggest feasible
experimental scenarios to test the theoretical predictions.
