2020/10/31 by Markus Rambach, Mahdi Qaryan, Michael Kewming +5 · 80 citations
Computer Science · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Dimension (graph theory) #Hilbert space #Mathematics #Mechanical and Optical Resonators #Open quantum system #Optics #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum computer #Quantum mechanics #Quantum state #Quantum technology #Quantum tomography #Qubit #Robustness (evolution) #Statistical physics #Tomography #quant-ph
paper · pdf · doi:10.1103/physrevlett.126.100402
published in Physical Review Letters 126(10), 100402 (American Physical Society) · 6 pages, 4 figures (supplemental material: 9 pages), published version
openalex publication_date 2021/03/10 · arxiv created 2021/03/11 · arxiv updated 2021/03/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The exponential growth in Hilbert space with increasing size of a quantum system means that accurately characterizing 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 realized for qudit pure states. We also show excellent performance for mixed states, achieving average fidelities of 96.5% for qutrits. 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 realization, be it photonic, superconducting, ionic, or spin.