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MiS Preprint
4/2019

Improved quantum entropic uncertainty relations

Zhi-Hua Chen, Zhi-Hao Ma, Yunlong Xiao and Shao-Ming Fei

Abstract

We study entropic uncertainty relations by using stepwise linear functions and quadratic functions. Two kinds of improved uncertainty lower bounds are constructed: the state-independent one based on the lower bound of Shannon entropy and the tighter state-dependent one based on the majorization techniques. The analytical results for qubit and qutrit systems with two or three measurement settings are explicitly derived, with detailed examples showing that they outperform the existing bounds. The case with the presence of quantum memory is also investigated.

Received:
Jan 9, 2019
Published:
Jan 15, 2019

Related publications

inJournal
2018 Repository Open Access
Zhi-Hua Chen, Zhi-Hao Ma, Yunlong Xiao and Shao-Ming Fei

Improved quantum entropic uncertainty relations

In: Physical review / A, 98 (2018) 4, p. 042305