2021/06/30 by Eric Kleinherbers, Philipp Stegmann, Annika Kurzmann +5
Computer Science · Mathematics · Physics and Astronomy · #Computer science #Cumulant #Factorial #Mathematical analysis #Mathematics #Noise (video) #Physics #Quantum #Quantum Information and Cryptography #Quantum algorithm #Quantum and electron transport phenomena #Quantum error correction #Quantum mechanics #Semiconductor Quantum Structures and Devices #Statistical physics #Statistics #cond-mat.mes-hall #quant-ph
paper · pdf · doi:10.1103/physrevlett.128.087701
published as Phys. Rev. Lett. 128, 087701 (2022) · 7 pages manuscript + 16 pages supplementary information
openalex publication_date 2022/02/23 · arxiv created 2022/02/25 · arxiv updated 2022/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Time-resolved studies of quantum systems are the key to understand quantum dynamics at its core. The real-time measurement of individual quantum numbers as they switch between certain discrete values, well known as random telegraph signal, is expected to yield maximal physical insight. However, the signal suffers from both systematic errors, such as a limited time resolution and noise from the measurement apparatus, as well as statistical errors due to a limited amount of data. Here we demonstrate that an evaluation scheme based on factorial cumulants can reduce the influence of such errors by orders of magnitude. The error resilience is supported by a general theory for the detection errors as well as experimental data of single-electron tunnelling through a self-assembled quantum dot. Thus, factorial cumulants push the limits in the analysis of random telegraph data which represent a wide class of experiments in physics, chemistry, engineering and life sciences.