Quantum Extropy and Statistical Properties of the Radiation Field for Photonic Binomial and Even Binomial Distributions

Almarashi, Abdullah M.; Algarni, Ali; Abdel‐Khalek, S.; Abd-Elmougod, G. A.; Raqab, Mohammad Z.

doi:10.1007/s10946-020-09883-9

Cited by 11 publications

(8 citation statements)

References 29 publications

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“…The density matrix properties using the symplectic representation of quantum mechanics are given in [29]. Some tomographic methods, quantization based on associative star-product of functions, applications of these approaches to different kinds of experiments were discussed in [30][31][32][33][34][35][36][37][38][39].…”

Section: Of 15mentioning

confidence: 99%

Dynamics of System States in the Probability Representation of Quantum Mechanics

Chernega¹,

Манько²

2023

Preprint

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The evolution of even and odd Schrödinger cat states of the inverted oscillator is obtained in the center-of-mass tomographic probability description of the two-mode oscillator.The notion of entangled probability distribution is reviewed. Evolution equations describing the time-dependence of probability distributions identified with quantum system states are discussed.The connection with the Schrödinger equation and the von Neumann equation is clarified.

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Section: Of 15mentioning

confidence: 99%

Dynamics of System States in the Probability Representation of Quantum Mechanics

Chernega¹,

Манько²

2023

Preprint

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“…The measuring of entanglement degree has been obtained via different methods, such as von Neumann entropy (von Neumann 1932;Phoenix and Knight 1991), concurrence (Fan et al 2003), negativity (Horodecki et al 2009;Zhou et al 2020), and the entanglement of formation (Wootters 1998). Likewise, the entanglement path has also been predicted by some measurements, such as entropy squeezing (Sebawe and Ahmed 2011), tomographic entropy (Chernega et al 2006;Almarashi et al 2020), Wigner function (Abd-Rabbou et al 2019), and quantum uncertainty and local quantum Fisher information .…”

Section: Introductionmentioning

confidence: 99%

Enhancing the information of nonlinear SU(1, 1) quantum systems interacting with a two-level atom

2022

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The effect of nonlinearity, initial atomic state, and different resonance cases on the interaction between nonlinear SU (1, 1) quantum states and a two-level atom is discussed. The optimal behaviours of decoherence, entanglement and quantum coherence are predicted via using the skew information, tomographic entropy, and the relative entropy of coherence, respectively. It is shown that the detuning parameter has a destructive effect on the coherence and consequently on the entanglement if the quantum system is regulated in the ideal SU (1, 1) quantum systems. For the nonlinear SU (1, 1) quantum systems, the ability to suppress the decay of entanglement induced by the detuning may be increased by preparing the initial atomic state in its excited state.

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“…For the discrete spin observables, the tomographic probability and tomographic entropy have been reconstructed [35]. A comparative study of quantum Fisher information, tomographic entropy, and the von Neumann entropy for a single qubit and optical radiation field in the presence of excited and negative binomial distribution has been introduced [36,37]. The interaction between a collection of an atomic quantum system and a quantized cavity field has been discussed [9].…”

Section: Introductionmentioning

confidence: 99%

Dynamical Features of Isolated Two- and Three-Level Atoms Interacting with a Cavity Field

Abd‐Rabbou

Khalil

Almalki

2022

Advances in Mathematical Physics

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Some dynamical features of two- and three-level atoms interacting locally with an ideal cavity field are investigated. These dynamical features are introduced by employing the statistical atomic inversion, entropy squeezing, and tomographic entropy. Our results show that the initial setting states play an essential role in the temporal evolution of the three quantities. The sensitivity of the two-level atomic state is less than that depicted by the three-level atom. The initial state has a small impact on the two types of entropies for the two-level atom. However, it has an appreciable effect in the case of the three-level atom for different regulations of the initial atomic state.

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Quantum Extropy and Statistical Properties of the Radiation Field for Photonic Binomial and Even Binomial Distributions

Cited by 11 publications

References 29 publications

Dynamics of System States in the Probability Representation of Quantum Mechanics

Dynamics of System States in the Probability Representation of Quantum Mechanics

Enhancing the information of nonlinear SU(1, 1) quantum systems interacting with a two-level atom

Dynamical Features of Isolated Two- and Three-Level Atoms Interacting with a Cavity Field

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