2016/07/07 by Kyunghyun Baek, Wonmin Son
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Amplitude #Computer science #Data mining #Entropic uncertainty #Entropy (arrow of time) #Information theory #Mathematics #Measurement uncertainty #Observable #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Relation (database) #Statistical physics #Statistics #Uncertainty principle #Uncertainty quantification #Weak measurement #quant-ph
paper · pdf · doi:10.1038/srep30228
published as Scientific Reports 6, 30228 (2016) · 12 pages, 5 figures
arxiv created 2016/07/07 · openalex publication_date 2016/07/26 · arxiv updated 2016/08/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Under the scenario of generalized measurements, it can be questioned how much of quantum uncertainty can be attributed to measuring device, independent of the uncertainty in the measured system. On the course to answer the question, we suggest a new class of entropic uncertainty relation that differentiates quantum uncertainty from device imperfection due to the unsharpness of measurement. In order to quantify the unsharpness, we suggest and analyze the quantity that characterizes the uncertainty in the measuring device, based on Shannon entropy. Using the quantity, we obtain a new lower bound of entropic uncertainty with unsharpness and it has been shown that the relation can also be obtained under the scenario that sharp observables are affected by the white noise and amplitude damping.