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- Type of Document: Ph.D. Dissertation
- Language: Farsi
- Document No: 45898 (04)
- University: Sharif University of Technology
- Department: Physics
- Advisor(s): Karimipour, Vahid; Memarzadeh Esfahani, Laleh
- Abstract:
- Composite quantum systems are generally correlated and these correlations may have classical or quantum nature. Entanglement is only a special type of quantum correlations and separable states may be quantum correlated. Quantum discord, local quantum uncertainty and the rank of the correlation matrix are the most important measures of quantum correlations beyond entanglement. Regarding the various applications of discordant separable states in the field of quantum information, the important problem is how to produce discordant separable states and what is the resource which should be used for this preparation. In this thesis we present a method of preparation for such states in two qubit systems, in fact we show that all separable two qubit states with maximally mixed marginals can be created by probabilistic application of three local unitary operators on specific classical states, and the local unitaries are nothing but the rotations around the x and y-axes by 90 or 180 degrees. Then we have shown that the classical correlations which is used in the preparation protocol is the origin of quantum correlations of the states, which can be used for quantum information processing tasks. In this thesis we have also presented an application for the quantum discord, regarding the fact that the correlations between a system and its embedding environment play a crucial role in the Markovianity property of the resultant system dynamics, we have used quantum discord to present a necessary and sufficient condition for (Non-) Markovianity of the system’s dynamics
- Keywords:
- Quantum Correlation ; Markov Process ; Quantum Discord ; Local Quantum Uncertainty
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