Reducing the Entropic Uncertainty via Non-Markovian Effect and Detuning in the Presence of Quantum Memory ∗

Entropic Uncertainty Relation Under Dissipative Environments and Its Steering by Local Non-unitary Operations

“…As a matter of fact, the uncertainty principle is considerably important because it shows that the known quantum information stored in the quantum memory can reduce or eliminate the uncertainty about measurement outcomes of another particle that is entangled with the quantum memory, and is verified by several novel experiments [7,8]. Moreover, EUR has burst out various remarkable applications including entanglement witness [9][10][11][12][13], the security analysis of quantum communication [9], analyzing entanglement dynamics [14,15] and steering Bell inequality [16]. To be explicit, Coles et al [9] have developed a more stringent formulation of both the uncertainty principle and the information exclusion principle to conduct the security analysis of quantum key distribution, entanglement estimation, and quantum communication.…”

“…Various schemes for suppressing decoherence have been reported, such as the technique of dynamical decoupling, quantum Zeno effect, and so forth. Zou et al [11,12] have showed that increasing detuning in non-Markovian environment can reduce the lower bound of the entropic uncertainty. Zhang et al [19] have derived tighter bounds on both entropic uncertainty relation and information exclusion relation for multiple measurements in the presence of quantum memory.…”

Quantum discord of the two-atom system in non-Markovian environments

“…In [16][17][18], this same model [15] is adopted, in which the whole system can be divided into two parts, and a formal solution for the evolution may be obtained by exactly solving the time-dependent Schrödinger equation in the subspace with one excitation. In this paper, we will apply another method to handle this model, where all the parts are included as a whole system, and a numerical simulation can be obtained using the time-convolutionless (TCL) masterequation method [19][20][21]. We investigate the QD dynamics of the two-atom system in two independent Lorentzian reservoirs and in two independent Ohmic reservoirs with the Lorentz-Drude cutoff function, respectively, and the reservoirs are at zero temperature, using the time-convolutionless master-equation method.…”

Controlling Entropic Uncertainty in the Presence of Quantum Memory by Non-Markovian Effects and Atom-Cavity Couplings

“…Fan et al [14] studied the entropic uncertainty and entanglement witness in a general class of bosonic structured reservoirs using the exact solution method. Zou et al [15,16] investigated the entropic uncertainty and entanglement witness of a two-atom system in non-Markovian reservoirs using the time-convolutionless master-equation approach. In the present work, we investigate the entropic uncertainty in the presence of quantum memory for the two atoms in dissipative cavities and analyze in detail the influences of the non-Markovian effect and the atom-cavity coupling on the entropic uncertainty.…”