Entropic Uncertainty Principle and Information Exclusion Principle for multiple measurements in the presence of quantum memory
arXiv:1509.05973
Abstract
The Heisenberg uncertainty principle shows that no one can specify the values of the non-commuting canonically conjugated variables simultaneously. However, the uncertainty relation is usually applied to two incompatible measurements. We present tighter bounds on both entropic uncertainty relation and information exclusion principle for multiple measurements in the presence of quantum memory. As applications, three incompatible measurements on Werner state and Horodecki's bound entangled state are investigated in details.
17 pages, 4 figures
References in corpus (6)
- Heisenberg's Uncertainty Principle
- The uncertainty principle determines the non-locality of quantum mechanics
- Quantum root-mean-square error and measurement uncertainty relations
- Strong Majorization Entropic Uncertainty Relations
- Entropic uncertainty relations for multiple measurements
- Heisenberg Uncertainty Relation for Three Canonical Observables