Entropic Uncertainty Relation for Dirac Particles in Garfinkle–Horowitz–Strominger Dilation Space–Time

Abstract

The quantum‐memory‐assisted entropic uncertainty relation for Dirac particles in the background of a Garfinkle–Horowitz–Strominger (GHS) dilation black hole is investigated, and the relationship between the entropy uncertainty and the quantum entanglement of a hybrid qubit–qutrit state in the GHS space–time analyzed. The results show that the physically accessible uncertainty increases while the inaccessible uncertainty decreases as the dilation parameter of the black hole enhances. Moreover, the evolution behavior of the uncertainty is inversely correlated with that of the entanglement between the quantum memory and the particle to be measured. Meanwhile, a method to steer the entropic uncertainty with the technique of weak measurement reversal is proposed. It is found that the uncertainty can be reduced effectively by adjusting the appropriate measurement strength. These findings may lead to a deeper understanding of entropy uncertainty dynamics, as well as its steering in a curved space–time.

Exploration of quantum correlations in an open system with Unruh effect under a Schwarzschild space-time

“…where ω k is the frequency of the particles for the mode k. Afterwards, the Bogoliubov transformations [33] between the annihilation operator and creation operator in the Schwarzschild and Kruskal coordinates can be obtained. Through properly normalizing the state vector, the ground state and excited state of the Kruskal particle for mode k can be given by [34][35][36],…”

Quantum Fisher information of a qubit-qutrit system in Garfinkle–Horowitz–Strominger dilation space–time

“…For this black hole, the dilation parameter D plays an important role on extra attractive force, and when D = 0 the black hole has an inner horizon. To investigate quantum effects in the background of GHS dilation space-time, a few studies have been carried out [30][31][32][33][34]. He et al [32] studied the quantum correlation for Dirac particles in the background of a GHS dilation black hole and proved that physical accessible quantum correlation decreases monotonically as the dilation parameter enhances.…”

“…He et al [32] studied the quantum correlation for Dirac particles in the background of a GHS dilation black hole and proved that physical accessible quantum correlation decreases monotonically as the dilation parameter enhances. Zhang et al [34] analyzed the quantum-memory-assisted entropic uncertainty relation of a hybrid qubit-qutrit state for Dirac particles in the background of a GHS dilation space-time, and considered the corresponding relationship between the entropy uncertainty and the quantum entanglement.…”

Entropic uncertainty relation and quantum phase transition in spin-1/2 Heisenberg chain

“…The QMA-EUR has been applied to quantum information fields, such as entanglement witnesses [6][7][8][9] and quantum cryptography [10][11][12][13]. In addition, theoretical research of QMA-EUR has been carried out in [14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29]. In particular, the QMA-EUR has been demonstrated experimentally in optical systems [30,31].…”