Entropic bounds as uncertainty measure of unitary operators

Shaari, Jesni Shamsul; Nasir, Rinie N. M.; Mancini, Stefano

doi:10.1016/j.physleta.2021.127277

Cited by 2 publications

(1 citation statement)

References 13 publications

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“…One is devoting to developing different forms like the Rényi entropy to improve the lower bound of EUR [16][17][18][19][20]. Another expends effort toward exploiting the effects of various forms of real environmental noises on the dynamics of EUR [21][22][23][24][25][26][27][28][29]. The third is focusing on the tripartite entropybased uncertainty relation with quantum memory [30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Controllable entropic uncertainty relation in an effective two-level non-Hermitian system

Tang¹,

Liu²,

Li³

et al. 2023

Laser Phys. Lett.

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Under the large detuning conditions, a three-level atom in Λ-type configuration reduced to an effective two-level system has been investigated by Shahriar and Hemmer (1990 Phys. Rev. Lett. 65 1865). By introducing unbalanced gain and loss, we in detail investigate the behaviors of entropic uncertainty relation (EUR) in an effective two-level non-Hermitian system. Compared with the dynamics governed by a Hermitian Hamiltonian, we find the EUR in non-Hermitian system is well defined based on the exceptional points of the effective non-Hermitian system, and displays two distinct behaviors. More specifically, when systems possess an exceptional point above which the EUR undergoes an oscillatory behavior, while below which the EUR increases asymptotically to a finite constant value.

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