Robust and Efficient High-Dimensional Quantum State Tomography

The exponential growth in Hilbert space with increasing size of a quantum system means that accurately characterising the becomes significantly harder dimension d. We show self-guided tomography is practical, efficient, and robust technique measuring higher-dimensional states. achieved fidelities are over 99.9% for qutrits (d=3) ququints (d=5), 99.1% quvigints (d=20), highest values ever realised qudits. demonstrate robustness against experimental sources noise, both statistical environmental. applicable to any system, from collection qubits through individual qudits, physical realisation, be it photonic, superconducting, ionic, or spin.