Abstract
We present two quantum union bounds for sequential projective measurements. These bounds estimate the disturbance accumulation and probability of outcomes when the measurements are performed sequentially. These results are based on a trigonometric representation of quantum states and should have wide application in quantum information theory for information-processing tasks such as communication and state discrimination, and perhaps even in the analysis of quantum algorithms.
- Received 12 September 2015
DOI:https://doi.org/10.1103/PhysRevA.92.052331
©2015 American Physical Society