Phonon-Induced Gate Infidelities in Semiconducting Spin Qubits

Spin-spin exchange interactions between semiconductor quantum dot spin qubits provide fast single and/or two-qubit gates, depending on the qubits encoding. During exchange, at finite temperatures, coupling of the qubits to the surrounding phonon bath may cause errors in the resulting gate. Here, the fidelities of operations with semiconductor double quantum dot spin qubits coupled to a phonon bath are considered.