2012/03/15 by Z. Y. Xu, Zhenyu Xu, Wanli Yang +3 · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Artificial intelligence #Computer science #Diagonal #Entropic uncertainty #Limit (mathematics) #Mathematical analysis #Mathematics #Noise (video) #Observable #Physics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum limit #Quantum mechanics #Quantum memory #Quantum network #Relation (database) #Statistical physics #Uncertainty principle #Work (physics) #quant-ph
paper · pdf · doi:10.1103/physreva.86.012113
published as Phys. Rev. A 86, 012113 (2012) · 6 pages, 4 figures including Supplemental Material
arxiv created 2012/03/15 · openalex publication_date 2012/07/23 · arxiv updated 2012/07/26 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The measurement outcomes of two incompatible observables on a particle can be precisely predicted when it is maximally entangled with a quantum memory. In this work, we explore the behavior of the quantum-memory-assisted entropic uncertainty relation under the influence of local unital and nonunital noisy channels. For a class of Bell-diagonal states, we demonstrate that while the unital noises only increase the amount of uncertainty, the amplitude-damping nonunital noises may reduce the amount of uncertainty in the long-time limit. The mechanism behind this phenomenon is also explored by using two dissimilar methods.