Abstract
In the thermodynamic equilibrium of dipolar-coupled spin systems under the influence of a Dzyaloshinskii–Moriya (D–M) interaction along the z-axis, the current study explores the quantum-memory-assisted entropic uncertainty relation (QMA-EUR), entropy mixedness and the concurrence two-spin entanglement. Quantum entanglement is reduced at increased temperature values, but inflation uncertainty and mixedness are enhanced. The considered quantum effects are stabilized to their stationary values at high temperatures. The two-spin entanglement is entirely repressed if the D–M interaction is disregarded, and the entropic uncertainty and entropy mixedness reach their maximum values for equal coupling rates. Rather than the concurrence, the entropy mixedness can be a proper indicator of the nature of the entropic uncertainty. The effect of model parameters (D–M coupling and dipole–dipole spin) on the quantum dynamic effects in thermal environment temperature is explored. The results reveal that the model parameters cause significant variations in the predicted QMA-EUR.
Highlights
The Heisenberg uncertainty relation [1] has been extensively explored experimentally and theoretically because of its high ability to distinguish between the boundaries of classical and quantum mechanics
We plot the uncertainty of entropy, the various lower bounds that occurred, the entropic uncertainty relation’s tightness, the mixedness, and the quantum entanglement as a function of the dipolar coupling e for various temperature values in the nonexistence of D–M interaction
We have investigated different features of an entropic uncertainty relation for a dipolar coupled-spin system with D–M interaction in temperature equilibrium, including quantum memory assistance, uncertainty tightening, entanglement, and mixedness
Summary
The Heisenberg uncertainty relation [1] has been extensively explored experimentally and theoretically because of its high ability to distinguish between the boundaries of classical and quantum mechanics. The spin dipolar system is one of the promising prototypes of understanding the several phenomena in quantum systems, due to its ability to produce a sufficient number of qubits, their coherence for a long time, and the fine-tuning of their magnetic properties electronically. We will investigate the dynamical characteristics of QMA-EUR and its lower bound, quantum correlation, mixedness and tightness for a dipolar spin interaction between two qubits with the implications of D–M interaction on Pauli’s two measurements, when Bob and Alice participate in the quantum system for the quantum uncertainty game.
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