Abstract
We present a new quantum-memory-assisted entropic uncertainty relation for multipartite systems which shows the uncertainty principle of quantum mechanics. Notably, our results recover some well-known entropic uncertainty relations for two arbitrary incompatible observables that demonstrate the uncertainties about the results of two measurements. This uncertainty relation might play a critical role in the foundations of quantum theory.
Highlights
We present a new quantum-memory-assisted entropic uncertainty relation for multipartite systems which shows the uncertainty principle of quantum mechanics
The uncertainty principle is a special feature of quantum mechanics
We have presented a generalized uncertainty relation with quantum memory for multipartite systems and obtained a new QMA-entropic uncertainty relation (EUR) for four-partite quantum systems. This generalized entropic uncertainty depends on the conditional von-Neumann entropies, Holevo quantities, and the mutual information
Summary
We present a new quantum-memory-assisted entropic uncertainty relation for multipartite systems which shows the uncertainty principle of quantum mechanics. Zhang et al.[12] presented tighter bounds on both entropic uncertainty and information exclusion relations for multiple measurements in the presence of quantum memory. Li and Q iao[17] proposed a method to decrease the local uncertainty In this remarkable study a new kind of uncertainty relation based on conditional majorization[18,19,20] has been formulated, which can be calculated for any number of observables. With Om and Pm which are the different incompatible observables and the memory particles for mth measurement, respectively In this scenario, Alice and the others share a multipartite quantum state ρAm and Alice carries out one of the observables (O m, m = 1, 2, ..., N ) on her system. If she measures O3 , David’s task is to minimize his uncertainty about O3
Sign-in/Register to view highlights & summary Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
