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- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 58144 (04)
- University: Sharif University of Technology
- Department: Physics
- Advisor(s): Mirkamali, Maryam Sadat
- Abstract:
- Quantum entanglement is an essential resource in quantum information processing, such as quantum communication and quantum computing. Although entanglement is critical for practical implementations in these fields, creating and transmitting entanglement without altering the states is challenging. External noise may destroy or weaken the entanglement. Consequently, there is a need for methods to improve entanglement. Entanglement distillation is an effort to address this issue. It is a process where, probabilistically, a smaller number of strongly entangled states are created from a fixed number of noisy entangled states. This process is carried out using only local operations and classical communication. Several protocols for entanglement distillation have been proposed for two-qubit systems. However, these protocols have limitations when it comes to distilling states with low entanglement, making the distillation of such states impossible. The goal of this study is to propose a method for distilling these types of states. To this end, an optimization approach is introduced, which identifies a set of local operators for transforming two-qubit state into another. This program is employed to convert states with low entanglement into target states that can be distilled using entanglement distillation protocols
- Keywords:
- Entanglement ; Entanglement Distribution ; Stiefel Manifold ; Gradient Descent Algorithm ; Quantum Entanglement
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