2020/12/31 by Stefan Floerchinger, Tobias Haas, T. Haas +1 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Bounded function #Computer science #Data mining #Entropic uncertainty #Entropy (arrow of time) #Generalized relative entropy #Kullback–Leibler divergence #Mathematical analysis #Mathematics #Observable #Physics #Principle of maximum entropy #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum discord #Quantum entanglement #Quantum mechanics #Relation (database) #Statistical physics #Statistics #Uncertainty principle #quant-ph
paper · pdf · doi:10.1103/physreva.103.062209
published as Phys. Rev. A 103, 062209 (2021) · 10 pages, no figures
arxiv created 2021/06/04 · openalex publication_date 2021/06/04 · arxiv updated 2021/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Quantum uncertainty relations are formulated in terms of relative entropy between distributions of measurement outcomes and suitable reference distributions with maximum entropy. This type of entropic uncertainty relation can be applied directly to observables with either discrete or continuous spectra. We find that a sum of relative entropies is bounded from above in a nontrivial way, which we illustrate with some examples.