Vol.:(0123456789) Optical and Quantum Electronics ( 2020) 52:126 https://doi.org/10.1007/s11082-020-2229-6 1 3 Study of RbCl quantum pseudo‑dot qubits using Shannon and Laplace entropies M. Servatkhah 1 Received: 25 November 2019 / Accepted: 23 January 2020 © Springer Science+Business Media, LLC, part of Springer Nature 2020 Abstract In this work, an electron was considered which is coupled to the LO-phonon in RbCl quan- tum pseudo-dot. The Pekar variational method was used to calculate the eigenenergies and eigenfunctions of the ground and the frst-excited states of the system. Two diferent entro- pies were considered, the Shannon and Laplace, to study decoherence of RbCl pseudodot qubit for diferent parameters. According to the obtained results, it is found that the entropy has the oscillatory periodic evolution as a function of the time due to the form of the con- fnement potential. It is also found that the entropies oscillate under a sinusoidal envelope with increasing the confnement parameters. Keywords Quantum pseudodot · Qubit · Shannon Entropy · Laplace Entropy 1 Introduction In the past two decades, various quantum nanostructures such as quantum wires, quantum dots, and quantum pseudo-dots (QPD) have been extensively studied (Li et al. 2012; Khor- dad and Vaseghi 2019a, b; Feng and Xiao 2016). The quantum nanostructures have been prepared with recent rapid advances of modern nanotechnology feld. During recent years, many studies have been performed on quantum computers and its potential applications. To investigation of quantum computers, the understanding of quan- tum computation and quantum information processing plays an important role. The pro- cessing of quantum computer requires knowledge about the physical properties of it. It is demonstrated that quantum computer with a large number of qubits would be more real- izable in solids (Togan et al. 2010), especially by invoking semiconductor quantum dot (QD) (Rolof et al. 2010). In quantum theory, the elementary unit for storing information is usually called as the quantum bit (qubit) which is considered as the two-level system. Recently, a large number of theoretical (Nielsen and Chang 2000; Mosca 2012; Passante et al. 2011) and experimental (Weedbrook et al. 2012; Feng et al. 2013; Schindler et al. 2011) works have been performed on quantum computers. * M. Servatkhah servatkhah@miau.ac.ir 1 Department of Physics, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran