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arXiv · 1609.03744

Methods for Finding Analytic Solutions for Time Dependent Two-Level Quantum Systems and Its Generalizations

Rajath Krishna R·N. S. Vidhyadhiraja
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Abstract

Two-level systems are one of the most important quantum systems and they form the basis of quantum computers. We briefly look at the traditional approach to two-level systems with an external driving field as well as those subjected to noise. This project is aimed at studying two specific methods for obtaining analytic solutions for two-level systems. One of the methods enables us to obtain analytic solutions for driven time-dependent two-level systems while the other attempts to give exact solution of qubit decoherence using a transfer matrix method. A thorough study of both papers is done and results are reproduced. The latter method is generalized for a qutrit system as well as a two qubit system subjected to noise. A general method is formally derived for an N-dimensional quantum system and the difficulties in applying the method in real life systems is discussed.

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Rajath Krishna R, N. S. Vidhyadhiraja. 2016-09-13. Methods for Finding Analytic Solutions for Time Dependent Two-Level Quantum Systems and Its Generalizations. https://arxiv.org/abs/1609.03744

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