Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

arXiv:1805.06751 · Quantum Information Processing

Tightening the entropic uncertainty relations for multiple measurements and applying it to quantum coherence

Hazhir Dolatkhah, Soroush Haseli, S. Salimi, A. S. Khorashad

Published Nov 22, 2018• 43 citations
arXivHTMLPDF
DOI
10.1007/s11128-018-2125-1

Related papers

Tripartite quantum-memory-assisted entropic uncertainty relations for multiple measurements

Hazhir Dolatkhah, Saeed Haddadi, Soroush Haseli +2 more

arXiv:2103.06963•The European Physical Journal Plus•Oct 21, 2022•7 citations

Tightening the entropic uncertainty relations with quantum memory in a multipartite scenario

Cong Xu, Qinghua Zhang, Tao Li +1 more

arXiv:2501.02861•Physics Letters A•Apr 23, 2025•4 citations

Entropic Uncertainty Relations in Quantum Physics

Iwo Białynicki‐Birula, Łukasz Rudnicki

arXiv:1001.4668•Springer eBooks•Jan 1, 2011•125 citations

Tightening entropic uncertainty relations for multiple measurements and application in quantum coherence

Hazhir Dolatkhah, Soroush Haseli, S. Salimi +1 more

A method is presented by which uncertainty relations in the absence of quantum memory can be converted to those in the presence of quantum memory. It is shown that the lower bounds obtained through the method are tighter than those having been achieved so far. The method is also used to obtain the uncertainty relations for multiple measurements in the presence of quantum memory. For a given state, the lower bounds on the sum of the relative entropies of unilateral coherence are provided using uncertainty relations in the presence of quantum memory, and it is shown which bound is tighter.

•May 17, 2018•0 citations

Entropic uncertainty and measurement reversibility

Mario Berta, Stephanie Wehner, Mark M. Wilde

The entropic uncertainty relation with quantum side information (EUR-QSI) from (Berta et al 2010 Nat. Phys. 6 659 ) is a unifying principle relating two distinctive features of quantum mechanics: quantum uncertainty due to measurement incompatibility, and entanglement. In these relations, quantum uncertainty takes the form of preparation uncertainty where one of two incompatible measurements is applied. In particular, the 'uncertainty witness' lower bound in the EUR-QSI is not a function of a post-measurement state. An insightful proof of the EUR-QSI from (Coles et al 2012 Phys. Rev. Lett. 108 210405 ) makes use of a fundamental mathematical consequence of the postulates of quantum mechanics known as the non-increase of quantum relative entropy under quantum channels. Here, we exploit this perspective to establish a tightening of the EUR-QSI which adds a new state-dependent term in the lower bound, related to how well one can reverse the action of a quantum measurement. As such, this new term is a direct function of the post-measurement state and can be thought of as quantifying how much disturbance a given measurement causes. Our result thus quantitatively unifies this feature of quantum mechanics with the others mentioned above. We have experimentally tested our theoretical predictions on the IBM quantum experience and find reasonable agreement between our predictions and experimental outcomes.

arXiv:1511.00267•New Journal of Physics•Jul 6, 2016•80 citations

Quantum uncertainty relations of two generalized quantum relative entropies of coherence

Fu-Gang Zhang, Yongming Li

Science China Physics Mechanics and Astronomy•Apr 11, 2018•19 citations
A method is presented by which uncertainty relations in the absence of quantum memory can be converted to those in the presence of quantum memory. It is shown that the lower bounds obtained through the method are tighter than those having been achieved so far. The method is also used to obtain the uncertainty relations for multiple measurements in the presence of quantum memory. For a given state, the lower bounds on the sum of the relative entropies of unilateral coherence are provided using uncertainty relations in the presence of quantum memory, and it is shown which bound is tighter.
The entropic uncertainty relation with quantum side information (EUR-QSI) from (Berta et al 2010 Nat. Phys. 6 659 ) is a unifying principle relating two distinctive features of quantum mechanics: quantum uncertainty due to measurement incompatibility, and entanglement. In these relations, quantum uncertainty takes the form of preparation uncertainty where one of two incompatible measurements is applied. In particular, the 'uncertainty witness' lower bound in the EUR-QSI is not a function of a post-measurement state. An insightful proof of the EUR-QSI from (Coles et al 2012 Phys. Rev. Lett. 108 210405 ) makes use of a fundamental mathematical consequence of the postulates of quantum mechanics known as the non-increase of quantum relative entropy under quantum channels. Here, we exploit this perspective to establish a tightening of the EUR-QSI which adds a new state-dependent term in the lower bound, related to how well one can reverse the action of a quantum measurement. As such, this new term is a direct function of the post-measurement state and can be thought of as quantifying how much disturbance a given measurement causes. Our result thus quantitatively unifies this feature of quantum mechanics with the others mentioned above. We have experimentally tested our theoretical predictions on the IBM quantum experience and find reasonable agreement between our predictions and experimental outcomes.