Simultaneous Deterministic Control of Distant Qubits in Two Semiconductor Quantum Dots

In optimal quantum control (OQC), a target quantum state of matter is achieved by tailoring the phase and amplitude of the control Hamiltorian through femtosecond pulse-shaping techniques and powerful I adaptive feedback algorithms. Motivated by recent applications of OQC in quantum information science as an approach to optimizing quantum gates in atomic and molecular systems, here we report the experimental implementation of OQC in a solid-state syststem consisting of distinguishable semiconductor quantum dots. We demonstrate simultaneous high-fidelity it and 22z single qubic gates in two different quantum dots using a single engineered infrared femtosecond pulse. These experiments enhance the scalability of semiconductor-based quantum hardware and lay the foundation for applications of pulse shaping to optimize quantum gates in other solid-state systems.