The uncertainty relations in quantum mechanics

D Sen - Current Science, 2014 - JSTOR
The notion of uncertainty in the description of a physical system has assumed prodigious
importance in the development of quantum theory. Overcoming the early misunderstanding …

Fine-grained einstein-podolsky-rosen–steering inequalities

T Pramanik, M Kaplan, AS Majumdar - Physical Review A, 2014 - APS
We derive a steering inequality based on a fine-grained uncertainty relation to capture
Einstein-Podolsky-Rosen steering for bipartite systems. Our steering inequality improves …

Fine-grained lower limit of entropic uncertainty in the presence of quantum memory

T Pramanik, P Chowdhury, AS Majumdar - Physical review letters, 2013 - APS
The limitation on obtaining precise outcomes of measurements performed on two
noncommuting observables of a particle as set by the uncertainty principle in its entropic …

Lower bound of quantum uncertainty from extractable classical information

T Pramanik, S Mal, AS Majumdar - Quantum Information Processing, 2016 - Springer
The sum of entropic uncertainties for the measurement of two non-commuting observables is
not always reduced by the amount of entanglement (quantum memory) between two parties …

Characterizing tripartite entropic uncertainty under random telegraph noise

H Dolatkhah, S Haddadi, ML Hu… - Quantum Information …, 2022 - Springer
The uncertainty principle bounds the measurement precision of two complementary
variables and the bipartite scenario of quantum-memory-assisted entropic uncertainty …

Stronger steerability criterion for more uncertain continuous-variable systems

P Chowdhury, T Pramanik, AS Majumdar - Physical Review A, 2015 - APS
We derive a fine-grained uncertainty relation for the measurement of two incompatible
observables on a single quantum system of continuous variables, and show that continuous …

Detecting mixedness of qutrit systems using the uncertainty relation

S Mal, T Pramanik, AS Majumdar - Physical Review A—Atomic, Molecular, and …, 2013 - APS
We show that the uncertainty relation as expressed in the Robertson-Schrodinger
generalized form can be used to detect the mixedness of three-level quantum systems in …

Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state

Z Bian, AS Majumdar, C Jebarathinam, K Wang, L Xiao… - Physical Review A, 2020 - APS
We demonstrate one-sided device-independent self-testing of any pure two-qubit entangled
state based on a fine-grained steering inequality. The maximum violation of a fine-grained …

Experimental test of fine-grained entropic uncertainty relation in the presence of quantum memory

WM Lv, C Zhang, XM Hu, YF Huang, H Cao, J Wang… - Scientific Reports, 2019 - nature.com
The uncertainty principle, which gives the constraints on obtaining precise outcomes for
incompatible measurements, provides a new vision of the real world that we are not able to …

Fine-grained uncertainty relation and biased nonlocal games in bipartite and tripartite systems

A Dey, T Pramanik, AS Majumdar - Physical Review A—Atomic, Molecular, and …, 2013 - APS
The fine-grained uncertainty relation can be used to discriminate among classical, quantum,
and superquantum correlations based on their strength of nonlocality, as has been shown …