2020/09/30 by Yuki Inoue, Masanao Ozawa
Computer Science · Physics and Astronomy · #Advanced Frequency and Time Standards #Indeterminacy (philosophy) #Measure (data warehouse) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum measurement #Relation (database) #Uncertainty principle #quant-ph
paper · pdf · doi:10.1209/0295-5075/133/30001
published as EPL (Europhysics Letters) 133 (3), 30001 (2021) · v2: 7 pages, 4 figures, updated reference [27]. arXiv admin note: text overlap with arXiv:1910.07929
openalex created_date 2020/09/08 · arxiv created 2020/12/14 · openalex publication_date 2021/02/01 · arxiv updated 2021/04/27 · openalex updated_date 2026/08/06
Abstract Although Heisenberg's uncertainty principle is represented by a rigorously proven relation about intrinsic indeterminacy in quantum states, Heisenberg's error-disturbance relation (EDR) has been commonly believed as another aspect of the principle. However, recent developments of quantum measurement theory made Heisenberg's EDR testable to observe its violations. Here, we study the EDR for Stern-Gerlach measurements. In a previous report, it has been pointed out that their EDR is close to the theoretical optimal. The present letter reports that even the original Stern-Gerlach experiment in 1922, as the available experimental data show, violates Heisenberg's EDR. The results suggest that Heisenberg's EDR is more ubiquitously violated than it has long been supposed.