Controlling the entropic uncertainty lower bound in two-qubit systems under decoherence

Haseli, Soroush; Dolatkhah, H.; Salimi, S.

doi:10.1088/1612-202x/ab0a58

Cited by 23 publications

(11 citation statements)

References 55 publications

(69 reference statements)

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“…Two non‐unitary quantum operations (i.e., the quantum weak measurement and weak reversal measurement) are proposed to reduce the entropic uncertainty, that is, a class of uncollapsing operations . The quantum weak measurement can be mathematically described by the following operators:

\begin{matrix} true \\ right M_{w} = ((), \begin{matrix} \sqrt{1 - k_{w}} & 0 \\ 0 & 1 \end{matrix}), M_{r} = ((), \begin{matrix} 1 & 0 \\ 0 & \sqrt{1 - k_{r}} \end{matrix}) \end{matrix}

where

k_{w} \in false(0, 1 false)

and

k_{r} \in false(0, 1 false)

are the weak measurement strength and weak measurement reversal strength, respectively.…”

Section: The Dynamical Uncertainty In Open Systems and Its Manipulationmentioning

confidence: 99%

See 1 more Smart Citation

Quantum‐Memory‐Assisted Entropic Uncertainty Relations

Wang

Ming

et al. 2019

Annalen der Physik

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Uncertainty relations take a crucial and fundamental part in the frame of quantum theory, and are bringing on many marvelous applications in the emerging field of quantum information sciences. Especially, as entropy is imposed into the uncertainty principle, entropy-based uncertainty relations lead to a number of applications including quantum key distribution, entanglement witness, quantum steering, quantum metrology, and quantum teleportation. Herein, the history of the development of the uncertainty relations is discussed, especially focusing on the recent progress with regard to quantum-memory-assisted entropic uncertainty relations and dynamical characteristics of the measured uncertainty in some explicit physical systems. The aims are to help deepen the understanding of entropic uncertainty relations and prompt further explorations for versatile applications of the relations on achieving practical quantum tasks.

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\begin{matrix} true \\ right M_{w} = ((), \begin{matrix} \sqrt{1 - k_{w}} & 0 \\ 0 & 1 \end{matrix}), M_{r} = ((), \begin{matrix} 1 & 0 \\ 0 & \sqrt{1 - k_{r}} \end{matrix}) \end{matrix}

where

k_{w} \in false(0, 1 false)

and

k_{r} \in false(0, 1 false)

are the weak measurement strength and weak measurement reversal strength, respectively.…”

Section: The Dynamical Uncertainty In Open Systems and Its Manipulationmentioning

confidence: 99%

“…Two non-unitary quantum operations (i.e., the quantum weak measurement and weak reversal measurement) are proposed to reduce the entropic uncertainty, i.e., a class of uncollapsing operations [97][98][99]. The quantum weak measurement can be mathematically described by the following operators…”

Section: Uncollapsed Measurementmentioning

confidence: 99%

Quantum‐Memory‐Assisted Entropic Uncertainty Relations

Wang

Ming

et al. 2019

Annalen der Physik

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“…The QMA-EUR has many potential applications in various quantum information processing tasks, such as quantum key distribution [4,5], quantum cryptography [6,7], quantum randomness [8,9], entanglement witness [10,11,12], EPR steering [13,14], and quantum metrology [15]. Due to its importance in quantum information processing, much efforts have been made to expand and improve this relation [4,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37].…”

Section: Introductionmentioning

confidence: 99%

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

Dolatkhah¹,

Haddadi²,

Haseli³

et al. 2021

Preprint

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It is possible to extend the bipartite quantum-memory-assisted entropic uncertainty relation to the tripartite one in which the memory is split into two parts. However, the uncertainty relation is usually applied to two incompatible observables. Many research have been made to generalize the uncertainty relations to more than two observables. Recently, Although many relations have been obtained for bipartite quantum-memory-assisted entropic uncertainty relation for multiple measurements, the case of tripartite remains unstudied. Until now, there have not been any tripartite quantum-memory-assisted entropic uncertainty relation for multiple measurements. In this work, several tripartite quantum-memory-assisted entropic uncertainty relations for multiple measurements are obtained. The lower bounds of these relations have three terms which depends on the complementarity of the observables, the conditional von Neumann entropy, the Holevo quantity and the mutual information. Also, it is shown one of the terms is related to the strong subadditivity inequality.

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“…Thus, it is logical to expect that the entropic uncertainty relation can be affected by the environmental factor [29][30][31][32][33][34][35][36][37][38][39][40]. One can also reduce the entropic uncertainty lower bound in the dissipative environment by using quantum weak measurements [41,42]. Actually environmental noise can also decrease the lower bound of the QSK rate.…”

Section: Introductionmentioning

confidence: 99%