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Journal of Russian Laser Research

Entropy and information characteristics of qubit states

Vladimir N. Chernega, Vladimir I. Man’ko

Published Nov 1, 2008• 10 citations
Publisher
DOI
10.1007/s10946-008-9040-3

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Adopting the framework of two-coupled superconducting charges model, we discussed the information entropy of two qubits initially prepared in a mixed state and allowed to interact with their environment. The impact of the different parameters of the system is explicitly investigated. Present calculations show that strong mutual entropy is obtained for a long interaction time when the two qubits are initially in a mixed state with the environment switched off. We have identified a class of two-qubit states that have a rich dynamics when the deviation between the characteristic energies of the quabits becomes minimum. It was found that the total correlation decreases abruptly to zero in a finite time due to the influence of the strong environment.
We consider quantum information entropy phenomenon for multi-qubit Rabi system. By introducing different measurements schemes, we establish the relation between information entropy approach and Von Neumann entropy. It is shown that the information entropy is more sensitive to the time development than the Von Neumann entropy. Furthermore, the suggested protocol exhibits excellent scaling of relevant characteristics, with respect to population dynamics, such that more accurate dynamical results may be obtained using information entropy due to variation of the frequency detuning and the coupling constant.
We discuss the notion of hidden correlations in classical and quantum indivisible systems along with such characteristics of the correlations as the mutual information and conditional information corresponding to the entropic subadditivity condition and the entropic strong subadditivity condition. We present an analog of the Bayes formula for systems without subsystems, study entropic inequality for von Neumann entropy and Tsallis entropy of the single-qudit state, and discuss the inequalities for qubit and qutrit states as an example.