Robust and Efficient High-dimensional Quantum State Tomography
Abstract
The exponential growth in Hilbert space with increasing size of a quantum system means that accurately characterising the system becomes significantly harder with system dimension d. We show that self-guided tomography is a practical, efficient, and robust technique of measuring higher-dimensional quantum states. The achieved fidelities are over 99.9% for qutrits (d=3) and ququints (d=5), and 99.1% for quvigints (d=20), the highest values ever realised for qudits. We demonstrate robustness against experimental sources of noise, both statistical and environmental. The technique is applicable to any higher-dimensional system, from a collection of qubits through to individual qudits, and any physical realisation, be it photonic, superconducting, ionic, or spin.
Cite
@article{arxiv.2010.00632,
title = {Robust and Efficient High-dimensional Quantum State Tomography},
author = {Markus Rambach and Mahdi Qaryan and Michael Kewming and Christopher Ferrie and Andrew G. White and Jacquiline Romero},
journal= {arXiv preprint arXiv:2010.00632},
year = {2021}
}
Comments
6 pages, 4 figures (supplemental material: 9 pages), published version